Year |
Citation |
Score |
2020 |
Xu Y, Shu C, Zhang Q. Error Estimate of the Fourth-Order Runge--Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations Siam Journal On Numerical Analysis. 58: 2885-2914. DOI: 10.1137/19m1280077 |
0.311 |
|
2020 |
Wu K, Shu C. Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations Siam Journal On Scientific Computing. 42: A2230-A2261. DOI: 10.1137/19M1275590 |
0.493 |
|
2020 |
Li Y, Shu C, Tang S. A Discontinuous Galerkin Method for Stochastic Conservation Laws Siam Journal On Scientific Computing. 42: A54-A86. DOI: 10.1137/19M125710X |
0.474 |
|
2020 |
Carrillo JA, Kalliadasis S, Perez SP, Shu C. Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations with General Free Energy Multiscale Modeling & Simulation. 18: 502-541. DOI: 10.1137/18M1230050 |
0.462 |
|
2020 |
Tao Q, Xu Y, Shu C. An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives Mathematics of Computation. 89: 2753-2783. DOI: 10.1090/Mcom/3562 |
0.394 |
|
2020 |
Li Y, Shu C, Tang S. A local discontinuous Galerkin method for nonlinear parabolic SPDEs Mathematical Modelling and Numerical Analysis. DOI: 10.1051/M2An/2020026 |
0.352 |
|
2020 |
Liu Y, Tao Q, Shu C. Analysis of optimal superconvergence of an ultraweak-local discontinuous Galerkin method for a time dependent fourth-order equation Mathematical Modelling and Numerical Analysis. 54: 1797-1820. DOI: 10.1051/M2An/2020023 |
0.427 |
|
2020 |
Liu Y, Shu C, Zhang M. Optimal error estimates of the semidiscrete discontinuous Galerkin methods for two dimensional hyperbolic equations on Cartesian meshes using Pk elements Esaim: Mathematical Modelling and Numerical Analysis. 54: 705-726. DOI: 10.1051/M2An/2019080 |
0.398 |
|
2020 |
Cheng J, Shu C, Song P. High order conservative Lagrangian schemes for one-dimensional radiation hydrodynamics equations in the equilibrium-diffusion limit Journal of Computational Physics. 421: 109724. DOI: 10.1016/J.Jcp.2020.109724 |
0.472 |
|
2020 |
Ding S, Shu C, Zhang M. On the conservation of finite difference WENO schemes in non-rectangular domains using the inverse Lax-Wendroff boundary treatments Journal of Computational Physics. 415: 109516. DOI: 10.1016/J.Jcp.2020.109516 |
0.473 |
|
2020 |
Zhu J, Shu C. A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes Journal of Computational Physics. 406: 109212. DOI: 10.1016/J.Jcp.2019.109212 |
0.482 |
|
2020 |
Zhu J, Qiu J, Shu C. High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters Journal of Computational Physics. 404: 109105. DOI: 10.1016/J.Jcp.2019.109105 |
0.469 |
|
2020 |
Li Y, Cheng J, Xia Y, Shu C. On moving mesh WENO schemes with characteristic boundary conditions for Hamilton-Jacobi equations Computers & Fluids. 205: 104582. DOI: 10.1016/J.Compfluid.2020.104582 |
0.433 |
|
2020 |
Zhu J, Shu C, Qiu J. High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on triangular meshes Applied Numerical Mathematics. 153: 519-539. DOI: 10.1016/J.Apnum.2020.03.013 |
0.485 |
|
2020 |
da Silva ND, Marchi CH, Araki LK, de Rezende Borges RB, Bertoldo G, Shu C. Completed repeated Richardson extrapolation for compressible fluid flows Applied Mathematical Modelling. 77: 724-737. DOI: 10.1016/J.Apm.2019.07.024 |
0.432 |
|
2020 |
Amat S, Ruiz J, Shu C. On a new WENO algorithm of order 2r with improved accuracy close to discontinuities Applied Mathematics Letters. 105: 106298. DOI: 10.1016/J.Aml.2020.106298 |
0.333 |
|
2020 |
Borges RBdR, Silva NDPd, Gomes FAA, Shu C, Tan S. A Sequel of Inverse Lax–Wendroff High Order Wall Boundary Treatment for Conservation Laws Archives of Computational Methods in Engineering. 1-15. DOI: 10.1007/S11831-020-09454-W |
0.412 |
|
2020 |
Xu Y, Meng X, Shu C, Zhang Q. Superconvergence Analysis of the Runge–Kutta Discontinuous Galerkin Methods for a Linear Hyperbolic Equation Journal of Scientific Computing. 84: 23. DOI: 10.1007/S10915-020-01274-1 |
0.426 |
|
2020 |
Li Y, Shu C, Tang S. An Ultra-Weak Discontinuous Galerkin Method with Implicit–Explicit Time-Marching for Generalized Stochastic KdV Equations Journal of Scientific Computing. 82. DOI: 10.1007/S10915-020-01162-8 |
0.492 |
|
2019 |
Sun Z, Carrillo JA, Shu C. An entropy stable high-order discontinuous Galerkin method for cross-diffusion gradient flow systems Kinetic and Related Models. 12: 885-908. DOI: 10.3934/Krm.2019033 |
0.478 |
|
2019 |
Zhang S, Zhu J, Shu C. A brief review on the convergence to steady state solutions of Euler equations with high-order WENO schemes Advances in Aerodynamics. 1. DOI: 10.1186/S42774-019-0019-2 |
0.486 |
|
2019 |
Xu Y, Zhang Q, Shu C, Wang H. The L$^2$-norm Stability Analysis of Runge--Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations Siam Journal On Numerical Analysis. 57: 1574-1601. DOI: 10.1137/18M1230700 |
0.394 |
|
2019 |
Sun Z, Shu C. Strong Stability of Explicit Runge--Kutta Time Discretizations Siam Journal On Numerical Analysis. 57: 1158-1182. DOI: 10.1137/18M122892X |
0.434 |
|
2019 |
Amat S, Ruiz J, Shu C. On New Strategies to Control the Accuracy of WENO Algorithms Close to Discontinuities Siam Journal On Numerical Analysis. 57: 1205-1237. DOI: 10.1137/18M1214937 |
0.32 |
|
2019 |
Zhou L, Xia Y, Shu C. Stability analysis and error estimates of arbitrary Lagrangian–Eulerian discontinuous Galerkin method coupled with Runge–Kutta time-marching for linear conservation laws Esaim: Mathematical Modelling and Numerical Analysis. 53: 105-144. DOI: 10.1051/M2An/2018069 |
0.493 |
|
2019 |
Cheng Z, Fang J, Shu C, Zhang M. Assessment of aeroacoustic resolution properties of DG schemes and comparison with DRP schemes Journal of Computational Physics. 399: 108960. DOI: 10.1016/J.Jcp.2019.108960 |
0.416 |
|
2019 |
Mazaheri A, Shu C, Perrier V. Bounded and compact weighted essentially nonoscillatory limiters for discontinuous Galerkin schemes: Triangular elements Journal of Computational Physics. 395: 461-488. DOI: 10.1016/J.Jcp.2019.06.023 |
0.487 |
|
2019 |
Fu G, Shu C. Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems Journal of Computational Physics. 394: 329-363. DOI: 10.1016/J.Jcp.2019.05.050 |
0.483 |
|
2019 |
Zhu J, Shu C. A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes Journal of Computational Physics. 392: 19-33. DOI: 10.1016/J.Jcp.2019.04.027 |
0.473 |
|
2019 |
Zheng F, Shu C, Qiu J. High order finite difference hermite WENO schemes for the Hamilton–Jacobi equations on unstructured meshes Computers & Fluids. 183: 53-65. DOI: 10.1016/J.Compfluid.2019.02.010 |
0.51 |
|
2019 |
Fu G, Shu C. An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg–de Vries equation Journal of Computational and Applied Mathematics. 349: 41-51. DOI: 10.1016/J.Cam.2018.09.021 |
0.502 |
|
2019 |
Wang H, Zhang Q, Shu C. Implicit–Explicit Local Discontinuous Galerkin Methods with Generalized Alternating Numerical Fluxes for Convection–Diffusion Problems Journal of Scientific Computing. 81: 2080-2114. DOI: 10.1007/S10915-019-01072-4 |
0.505 |
|
2019 |
Liu Y, Chen T, Chen Y, Shu C. Certified Offline-Free Reduced Basis (COFRB) Methods for Stochastic Differential Equations Driven by Arbitrary Types of Noise Journal of Scientific Computing. 81: 1210-1239. DOI: 10.1007/S10915-019-00976-5 |
0.451 |
|
2019 |
Wu K, Shu C. Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes Numerische Mathematik. 142: 995-1047. DOI: 10.1007/S00211-019-01042-W |
0.481 |
|
2018 |
Filbet F, Shu C. Discontinuous Galerkin methods for a kinetic model of self-organized dynamics Mathematical Models and Methods in Applied Sciences. 28: 1171-1197. DOI: 10.1142/S0218202518500318 |
0.348 |
|
2018 |
Wu K, Shu C. A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics Siam Journal On Scientific Computing. 40: B1302-B1329. DOI: 10.1137/18M1168042 |
0.36 |
|
2018 |
Cao W, Shu C, Yang Y, Zhang Z. Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations Siam Journal On Numerical Analysis. 56: 732-765. DOI: 10.1137/17M1128605 |
0.417 |
|
2018 |
Qin T, Shu C. Implicit Positivity-Preserving High-Order Discontinuous Galerkin Methods for Conservation Laws Siam Journal On Scientific Computing. 40: A81-A107. DOI: 10.1137/17M112436X |
0.502 |
|
2018 |
Liu Y, Shu C, Zhang M. Optimal Error Estimates of the Semidiscrete Central Discontinuous Galerkin Methods for Linear Hyperbolic Equations Siam Journal On Numerical Analysis. 56: 520-541. DOI: 10.1137/16M1089484 |
0.432 |
|
2018 |
Kučera V, Shu C. On the time growth of the error of the DG method for advective problems Ima Journal of Numerical Analysis. 39: 687-712. DOI: 10.1093/Imanum/Dry013 |
0.35 |
|
2018 |
Wang H, Liu Y, Zhang Q, Shu C. Local discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow Mathematics of Computation. 88: 91-121. DOI: 10.1090/Mcom/3312 |
0.342 |
|
2018 |
Zhu J, Shu C. A new type of multi-resolution WENO schemes with increasingly higher order of accuracy Journal of Computational Physics. 375: 659-683. DOI: 10.1016/J.Jcp.2018.09.003 |
0.474 |
|
2018 |
Huang J, Shu C. Bound-preserving modified exponential Runge–Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms Journal of Computational Physics. 361: 111-135. DOI: 10.1016/J.Jcp.2018.01.051 |
0.544 |
|
2018 |
Liu Y, Shu C, Zhang M. Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes Journal of Computational Physics. 354: 163-178. DOI: 10.1016/J.Jcp.2017.10.043 |
0.506 |
|
2018 |
Sun Z, Carrillo JA, Shu C. A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials Journal of Computational Physics. 352: 76-104. DOI: 10.1016/J.Jcp.2017.09.050 |
0.528 |
|
2018 |
Shi C, Shu C. On local conservation of numerical methods for conservation laws Computers & Fluids. 169: 3-9. DOI: 10.1016/J.Compfluid.2017.06.018 |
0.453 |
|
2018 |
Shi C, Li J, Shu C. Discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials on unstructured meshes Journal of Computational and Applied Mathematics. 342: 147-163. DOI: 10.1016/J.Cam.2018.04.011 |
0.456 |
|
2018 |
Wang H, Zhang Q, Shu C. Third order implicit–explicit Runge–Kutta local discontinuous Galerkin methods with suitable boundary treatment for convection–diffusion problems with Dirichlet boundary conditions Journal of Computational and Applied Mathematics. 342: 164-179. DOI: 10.1016/J.Cam.2018.04.004 |
0.456 |
|
2018 |
Huang J, Zhao W, Shu C. A Third-Order Unconditionally Positivity-Preserving Scheme for Production–Destruction Equations with Applications to Non-equilibrium Flows Journal of Scientific Computing. 79: 1015-1056. DOI: 10.1007/S10915-018-0881-9 |
0.533 |
|
2018 |
Huang J, Shu C. Positivity-Preserving Time Discretizations for Production–Destruction Equations with Applications to Non-equilibrium Flows Journal of Scientific Computing. 78: 1811-1839. DOI: 10.1007/S10915-018-0852-1 |
0.375 |
|
2018 |
Chen Y, Dong B, Shu C. A Foreword to the Special Issue in Honor of Professor Bernardo Cockburn on His 60th Birthday: A Life Time of Discontinuous Schemings Journal of Scientific Computing. 77: 1303-1309. DOI: 10.1007/S10915-018-0845-0 |
0.383 |
|
2018 |
Ling D, Cheng J, Shu C. Conservative High Order Positivity-Preserving Discontinuous Galerkin Methods for Linear Hyperbolic and Radiative Transfer Equations Journal of Scientific Computing. 77: 1801-1831. DOI: 10.1007/S10915-018-0700-3 |
0.477 |
|
2018 |
Zhu J, Shu C. Numerical study on the convergence to steady-state solutions of a new class of finite volume WENO schemes: triangular meshes Shock Waves. 29: 3-25. DOI: 10.1007/S00193-018-0833-1 |
0.323 |
|
2017 |
Zhu J, Zhong X, Shu C, Qiu J. Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter on Unstructured Meshes Communications in Computational Physics. 21: 623-649. DOI: 10.4208/Cicp.221015.160816A |
0.449 |
|
2017 |
Huang J, Shu C. A second-order asymptotic-preserving and positivity-preserving discontinuous Galerkin scheme for the Kerr–Debye model Mathematical Models and Methods in Applied Sciences. 27: 549-579. DOI: 10.1142/S0218202517500099 |
0.51 |
|
2017 |
Cao W, Shu C, Zhang Z. Superconvergence of discontinuous Galerkin methods for 1-D linear hyperbolic equations with degenerate variable coefficients Esaim: Mathematical Modelling and Numerical Analysis. 51: 2213-2235. DOI: 10.1051/M2An/2017026 |
0.415 |
|
2017 |
Wang H, Zhang Q, Shu C. Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for the time-dependent fourth order PDEs Esaim: Mathematical Modelling and Numerical Analysis. 51: 1931-1955. DOI: 10.1051/M2An/2017017 |
0.476 |
|
2017 |
Sun Z, Shu C. Stability analysis and error estimates of Lax–Wendroff discontinuous Galerkin methods for linear conservation laws Esaim: Mathematical Modelling and Numerical Analysis. 51: 1063-1087. DOI: 10.1051/M2An/2016049 |
0.523 |
|
2017 |
Zhu J, Shu C. Numerical study on the convergence to steady state solutions of a new class of high order WENO schemes Journal of Computational Physics. 349: 80-96. DOI: 10.1016/J.Jcp.2017.08.012 |
0.477 |
|
2017 |
Fu G, Shu C. A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws Journal of Computational Physics. 347: 305-327. DOI: 10.1016/J.Jcp.2017.06.046 |
0.436 |
|
2017 |
Chen T, Shu C. Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws Journal of Computational Physics. 345: 427-461. DOI: 10.1016/J.Jcp.2017.05.025 |
0.505 |
|
2017 |
Zheng F, Shu C, Qiu J. Finite difference Hermite WENO schemes for the Hamilton–Jacobi equations Journal of Computational Physics. 337: 27-41. DOI: 10.1016/J.Jcp.2017.02.033 |
0.516 |
|
2017 |
Shen H, Wen C, Parsani M, Shu C. Maximum-principle-satisfying space-time conservation element and solution element scheme applied to compressible multifluids Journal of Computational Physics. 330: 668-692. DOI: 10.1016/J.Jcp.2016.10.036 |
0.516 |
|
2017 |
Ling D, Cheng J, Shu C. Positivity-preserving and symmetry-preserving Lagrangian schemes for compressible Euler equations in cylindrical coordinates Computers & Fluids. 157: 112-130. DOI: 10.1016/J.Compfluid.2017.08.029 |
0.455 |
|
2017 |
Morales-Escalante J, Gamba IM, Cheng Y, Majorana A, Shu C, Chelikowsky J. Discontinuous Galerkin deterministic solvers for a Boltzmann–Poisson model of hot electron transport by averaged empirical pseudopotential band structures Computer Methods in Applied Mechanics and Engineering. 321: 209-234. DOI: 10.1016/J.Cma.2017.03.003 |
0.566 |
|
2017 |
Lam CY, Shu C. A phase-based interior penalty discontinuous Galerkin method for the Helmholtz equation with spatially varying wavenumber Computer Methods in Applied Mechanics and Engineering. 318: 456-473. DOI: 10.1016/J.Cma.2017.01.032 |
0.399 |
|
2017 |
Li J, Shi C, Shu C. Optimal non-dissipative discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials Computers & Mathematics With Applications. 73: 1760-1780. DOI: 10.1016/J.Camwa.2017.02.018 |
0.484 |
|
2017 |
Song H, Shu C. Unconditional Energy Stability Analysis of a Second Order Implicit–Explicit Local Discontinuous Galerkin Method for the Cahn–Hilliard Equation Journal of Scientific Computing. 73: 1178-1203. DOI: 10.1007/S10915-017-0497-5 |
0.482 |
|
2017 |
Liu Y, Cheng Y, Shu C. A Simple Bound-Preserving Sweeping Technique for Conservative Numerical Approximations Journal of Scientific Computing. 73: 1028-1071. DOI: 10.1007/S10915-017-0395-X |
0.673 |
|
2017 |
Li XH, Shu C, Yang Y. Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis Model Journal of Scientific Computing. 73: 943-967. DOI: 10.1007/S10915-016-0354-Y |
0.441 |
|
2016 |
Klionsky DJ, Abdelmohsen K, Abe A, Abedin MJ, Abeliovich H, Acevedo Arozena A, Adachi H, Adams CM, Adams PD, Adeli K, Adhihetty PJ, Adler SG, Agam G, Agarwal R, Aghi MK, ... Shu CW, et al. Guidelines for the use and interpretation of assays for monitoring autophagy (3rd edition). Autophagy. 12: 1-222. PMID 26799652 DOI: 10.1080/15548627.2015.1100356 |
0.746 |
|
2016 |
Wu L, Zhang Y, Zhang S, Shu C. High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study Communications in Computational Physics. 20: 835-869. DOI: 10.4208/Cicp.130715.010216A |
0.703 |
|
2016 |
Zhu J, Zhong X, Shu CW, Qiu J. Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter Communications in Computational Physics. 19: 944-969. DOI: 10.4208/Cicp.070215.200715A |
0.49 |
|
2016 |
Yuan D, Cheng J, Shu C. High Order Positivity-Preserving Discontinuous Galerkin Methods for Radiative Transfer Equations Siam Journal On Scientific Computing. 38: A2987-A3019. DOI: 10.1137/16M1061072 |
0.525 |
|
2016 |
Du J, Shu C. A High Order Stable Conservative Method for Solving Hyperbolic Conservation Laws on Arbitrarily Distributed Point Clouds Siam Journal On Scientific Computing. 38: A3094-A3128. DOI: 10.1137/16M1060583 |
0.451 |
|
2016 |
Guzmán J, Shu C, Sequeira FA. H(div) conforming and DG methods for incompressible Euler’s equations Ima Journal of Numerical Analysis. 37: 1733-1771. DOI: 10.1093/Imanum/Drw054 |
0.437 |
|
2016 |
Meng X, Shu CW, Wu B. Optimal error estimates for discontinuous galerkin methods based on upwind-biased fluxes for linear hyperbolic equations Mathematics of Computation. 85: 1225-1261. DOI: 10.1090/Mcom/3022 |
0.388 |
|
2016 |
Wang H, Wang S, Zhang Q, Shu C. Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems Esaim: Mathematical Modelling and Numerical Analysis. 50: 1083-1105. DOI: 10.1051/M2An/2015068 |
0.517 |
|
2016 |
Balsara DS, Garain S, Shu C. An efficient class of WENO schemes with adaptive order Journal of Computational Physics. 326: 780-804. DOI: 10.1016/J.Jcp.2016.09.009 |
0.455 |
|
2016 |
Lu J, Fang J, Tan S, Shu CW, Zhang M. Inverse Lax-Wendroff procedure for numerical boundary conditions of convection-diffusion equations Journal of Computational Physics. 317: 276-300. DOI: 10.1016/J.Jcp.2016.04.059 |
0.439 |
|
2016 |
Shu CW. High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments Journal of Computational Physics. 316: 598-613. DOI: 10.1016/J.Jcp.2016.04.030 |
0.513 |
|
2016 |
Qin T, Shu CW, Yang Y. Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics Journal of Computational Physics. 315: 323-347. DOI: 10.1016/J.Jcp.2016.02.079 |
0.508 |
|
2016 |
Vilar F, Shu CW, Maire PH. Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part II: The two-dimensional case Journal of Computational Physics. 312: 416-442. DOI: 10.1016/J.Jcp.2016.01.037 |
0.533 |
|
2016 |
Wang C, Ding JX, Shu CW, Li T. Three-dimensional ghost-fluid large-scale numerical investigation on air explosion Computers and Fluids. 137: 70-79. DOI: 10.1016/J.Compfluid.2016.07.015 |
0.452 |
|
2016 |
Li T, Shu CW, Zhang M. Stability analysis of the inverse Lax-Wendroff boundary treatment for high order upwind-biased finite difference schemes Journal of Computational and Applied Mathematics. 299: 140-158. DOI: 10.1016/J.Cam.2015.11.038 |
0.481 |
|
2016 |
Wang H, Shu CW, Zhang Q. Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for nonlinear convection-diffusion problems Dedicated to professor Claus-Dieter Munz on the occasion of his sixtieth birthday. Applied Mathematics and Computation. 272: 237-258. DOI: 10.1016/J.Amc.2015.02.067 |
0.487 |
|
2016 |
Li T, Shu C, Zhang M. Stability Analysis of the Inverse Lax–Wendroff Boundary Treatment for High Order Central Difference Schemes for Diffusion Equations Journal of Scientific Computing. 70: 576-607. DOI: 10.1007/S10915-016-0258-X |
0.507 |
|
2015 |
Wang W, Shu C, Yee H, Kotov DV, Sjögreen B. High Order Finite Difference Methods with Subcell Resolution for Stiff Multispecies Discontinuity Capturing Communications in Computational Physics. 17: 317-336. DOI: 10.4208/Cicp.250214.130814A |
0.433 |
|
2015 |
WANG C, SHU C. Progress in high-resolution numerical simulation of explosion mechanics Chinese Science Bulletin. 60: 882-898. DOI: 10.1360/N972014-00936 |
0.518 |
|
2015 |
Jiang Y, Shu C, Zhang M. High-order finite difference WENO schemes with positivity-preserving limiter for correlated random walk with density-dependent turning rates Mathematical Models and Methods in Applied Sciences. 25: 1553-1588. DOI: 10.1142/S0218202515500414 |
0.499 |
|
2015 |
Cao W, Shu C, Yang Y, Zhang Z. Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional Hyperbolic Equations Siam Journal On Numerical Analysis. 53: 1651-1671. DOI: 10.1137/140996203 |
0.326 |
|
2015 |
Wang H, Shu C, Zhang Q. Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems Siam Journal On Numerical Analysis. 53: 206-227. DOI: 10.1137/140956750 |
0.473 |
|
2015 |
Bokanowski O, Cheng Y, Shu C. Convergence of discontinuous Galerkin schemes for front propagation with obstacles Mathematics of Computation. 85: 2131-2159. DOI: 10.1090/Mcom/3072 |
0.655 |
|
2015 |
Wu L, Shu CW. Numerical Solution of the Viscous Surface Wave with Discontinuous Galerkin Method Esaim: Mathematical Modelling and Numerical Analysis. 49: 1019-1046. DOI: 10.1051/M2An/2014065 |
0.473 |
|
2015 |
Luo J, Shu CW, Zhang Q. A priori error estimates to smooth solutions of the third order Runge-Kutta discontinuous Galerkin method for symmetrizable systems of conservation laws Esaim: Mathematical Modelling and Numerical Analysis. 49: 991-1018. DOI: 10.1051/M2An/2014063 |
0.429 |
|
2015 |
Vilar F, Shu CW. Development and stability analysis of the inverse Lax-Wendroff boundary treatment for central compact schemes Esaim: Mathematical Modelling and Numerical Analysis. 49: 39-67. DOI: 10.1051/M2An/2014024 |
0.413 |
|
2015 |
Du J, Wong SC, Shu CW, Zhang M. Reformulating the Hoogendoorn-Bovy predictive dynamic user-optimal model in continuum space with anisotropic condition Transportation Research Part B: Methodological. 79: 189-217. DOI: 10.1016/J.Trb.2015.06.005 |
0.393 |
|
2015 |
Wang C, Dong X, Shu CW. Parallel adaptive mesh refinement method based on WENO finite difference scheme for the simulation of multi-dimensional detonation Journal of Computational Physics. 298: 161-175. DOI: 10.1016/J.Jcp.2015.06.001 |
0.486 |
|
2015 |
Liu X, Zhang S, Zhang H, Shu CW. A new class of central compact schemes with spectral-like resolution II: Hybrid weighted nonlinear schemes Journal of Computational Physics. 284: 133-154. DOI: 10.1016/J.Jcp.2014.12.027 |
0.441 |
|
2015 |
Du J, Shu C, Zhang M. A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework on unstructured meshes Applied Numerical Mathematics. 90: 146-167. DOI: 10.1016/J.Apnum.2014.12.004 |
0.454 |
|
2015 |
Du J, Shu CW, Zhang M. A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework Applied Numerical Mathematics. 95: 173-198. DOI: 10.1016/J.Apnum.2014.01.006 |
0.404 |
|
2015 |
Liu Y, Shu CW. Analysis of the local discontinuous Galerkin method for the drift-diffusion model of semiconductor devices Science China Mathematics. DOI: 10.1007/S11425-015-5055-8 |
0.474 |
|
2015 |
Dong B, Shu CW, Wang W. A New Multiscale Discontinuous Galerkin Method for the One-Dimensional Stationary Schrödinger Equation Journal of Scientific Computing. DOI: 10.1007/S10915-015-0022-7 |
0.495 |
|
2015 |
Chen Z, Shu CW. Recovering Exponential Accuracy in Fourier Spectral Methods Involving Piecewise Smooth Functions with Unbounded Derivative Singularities Journal of Scientific Computing. 65: 1145-1165. DOI: 10.1007/S10915-015-0011-X |
0.447 |
|
2014 |
Jiang Y, Shu C, Zhang M. Free-stream preserving finite difference schemes on curvilinear meshes Methods and Applications of Analysis. 21: 1-30. DOI: 10.4310/Maa.2014.V21.N1.A1 |
0.416 |
|
2014 |
Cheng J, Shu C. Second order symmetry-preserving conservative Lagrangian scheme for compressible Euler equations in two-dimensional cylindrical coordinates Journal of Computational Physics. 272: 245-265. DOI: 10.1016/J.Jcp.2014.04.031 |
0.513 |
|
2014 |
Chou C, Shu C, Xing Y. Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media Journal of Computational Physics. 272: 88-107. DOI: 10.1016/J.Jcp.2014.04.009 |
0.732 |
|
2014 |
Cheng J, Shu C. Positivity-preserving Lagrangian scheme for multi-material compressible flow Journal of Computational Physics. 257: 143-168. DOI: 10.1016/J.Jcp.2013.09.047 |
0.526 |
|
2014 |
Chen Z, Shu C. Recovering exponential accuracy from collocation point values of smooth functions with end-point singularities Journal of Computational and Applied Mathematics. 265: 83-95. DOI: 10.1016/J.Cam.2013.09.029 |
0.367 |
|
2014 |
Zhang Y, Wang W, Guzmán J, Shu C. Multi-scale Discontinuous Galerkin Method for Solving Elliptic Problems with Curvilinear Unidirectional Rough Coefficients Journal of Scientific Computing. 61: 42-60. DOI: 10.1007/S10915-013-9816-7 |
0.426 |
|
2013 |
Shu CW. On high-order accurate weighted essentially non-oscillatory and discontinuous Galerkin schemes for compressible turbulence simulations. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 371: 20120172. PMID 23185054 DOI: 10.1098/Rsta.2012.0172 |
0.443 |
|
2013 |
Shu CW. A brief survey on discontinuous Galerkin methods in computational fluid dynamics Advances in Mechanics. 43: 541-554. DOI: 10.6052/1000-0992-13-059 |
0.325 |
|
2013 |
Xing Y, Chou C, Shu C. Energy conserving local discontinuous Galerkin methods for wave propagation problems Inverse Problems and Imaging. 7: 967-986. DOI: 10.3934/Ipi.2013.7.967 |
0.744 |
|
2013 |
Jiang Y, Shu C, Zhang M. An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax--Wendroff Time Discretization for Conservation Laws Siam Journal On Scientific Computing. 35: A1137-A1160. DOI: 10.1137/120889885 |
0.486 |
|
2013 |
Yang Y, Roy I, Shu C, Fang L. THE ANGULAR DISTRIBUTION OF Lyα RESONANT PHOTONS EMERGING FROM AN OPTICALLY THICK MEDIUM The Astrophysical Journal. 772: 3. DOI: 10.1088/0004-637X/772/1/3 |
0.778 |
|
2013 |
Zhang S, Li H, Liu X, Zhang H, Shu C. Classification and sound generation of two-dimensional interaction of two Taylor vortices Physics of Fluids. 25: 056103. DOI: 10.1063/1.4807065 |
0.329 |
|
2013 |
Du J, Wong S, Shu C, Xiong T, Zhang M, Choi K. Revisiting Jiang’s dynamic continuum model for urban cities Transportation Research Part B: Methodological. 56: 96-119. DOI: 10.1016/J.Trb.2013.07.001 |
0.369 |
|
2013 |
Yang Y, Wei D, Shu C. Discontinuous Galerkin method for Krauseʼs consensus models and pressureless Euler equations Journal of Computational Physics. 252: 109-127. DOI: 10.1016/J.Jcp.2013.06.015 |
0.429 |
|
2013 |
Yee H, Kotov D, Wang W, Shu C. Corrigendum to “Spurious behavior of shock-capturing methods by the fractional step approach: Problems containing stiff source terms and discontinuities” [J. Comput. Phys. 241 (2013) 266–291] Journal of Computational Physics. 250: 703-712. DOI: 10.1016/J.Jcp.2013.05.021 |
0.32 |
|
2013 |
Hao W, Hauenstein JD, Shu C, Sommese AJ, Xu Z, Zhang Y. A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws Journal of Computational Physics. 250: 332-346. DOI: 10.1016/J.Jcp.2013.05.008 |
0.662 |
|
2013 |
Liu X, Zhang S, Zhang H, Shu C. A new class of central compact schemes with spectral-like resolution I: Linear schemes Journal of Computational Physics. 248: 235-256. DOI: 10.1016/J.Jcp.2013.04.014 |
0.449 |
|
2013 |
Zhu J, Zhong X, Shu C, Qiu J. Runge–Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes Journal of Computational Physics. 248: 200-220. DOI: 10.1016/J.Jcp.2013.04.012 |
0.467 |
|
2013 |
Yee H, Kotov D, Wang W, Shu C. Spurious behavior of shock-capturing methods by the fractional step approach: Problems containing stiff source terms and discontinuities Journal of Computational Physics. 241: 266-291. DOI: 10.1016/J.Jcp.2013.01.028 |
0.509 |
|
2013 |
Hu XY, Adams NA, Shu C. Positivity-preserving method for high-order conservative schemes solving compressible Euler equations Journal of Computational Physics. 242: 169-180. DOI: 10.1016/J.Jcp.2013.01.024 |
0.52 |
|
2013 |
Zhang Y, Zhang X, Shu C. Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection–diffusion equations on triangular meshes Journal of Computational Physics. 234: 295-316. DOI: 10.1016/J.Jcp.2012.09.032 |
0.539 |
|
2013 |
Zhong X, Shu C. A simple weighted essentially nonoscillatory limiter for Runge–Kutta discontinuous Galerkin methods Journal of Computational Physics. 232: 397-415. DOI: 10.1016/J.Jcp.2012.08.028 |
0.41 |
|
2013 |
Lu J, Shu C, Zhang M. Stability analysis and a priori error estimate of explicit Runge-Kutta discontinuous Galerkin methods for correlated random walk with density-dependent turning rates Science China Mathematics. 56: 2645-2676. DOI: 10.1007/S11425-013-4739-1 |
0.441 |
|
2013 |
Zhang S, Deng X, Mao M, Shu C. Improvement of convergence to steady state solutions of Euler equations with weighted compact nonlinear schemes Acta Mathematicae Applicatae Sinica, English Series. 29: 449-464. DOI: 10.1007/S10255-013-0230-6 |
0.461 |
|
2013 |
Zhang Q, Shu C. Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data Numerische Mathematik. 126: 703-740. DOI: 10.1007/S00211-013-0573-1 |
0.349 |
|
2013 |
Bokanowski O, Cheng Y, Shu C. A discontinuous Galerkin scheme for front propagation with obstacles Numerische Mathematik. 126: 1-31. DOI: 10.1007/S00211-013-0555-3 |
0.643 |
|
2013 |
Yang Y, Shu C. Discontinuous Galerkin method for hyperbolic equations involving $$\delta $$ -singularities: negative-order norm error estimates and applications Numerische Mathematik. 124: 753-781. DOI: 10.1007/S00211-013-0526-8 |
0.418 |
|
2012 |
Cheng J, Shu C, Zeng Q. A Conservative Lagrangian Scheme for Solving Compressible Fluid Flows with Multiple Internal Energy Equations Communications in Computational Physics. 12: 1307-1328. DOI: 10.4208/Cicp.150311.090112A |
0.454 |
|
2012 |
Cheng J, Shu C. Improvement on Spherical Symmetry in Two-Dimensional Cylindrical Coordinates for a Class of Control Volume Lagrangian Schemes Communications in Computational Physics. 11: 1144-1168. DOI: 10.4208/Cicp.030710.131210S |
0.481 |
|
2012 |
DE DIOS BA, CARRILLO JA, SHU C. DISCONTINUOUS GALERKIN METHODS FOR THE MULTI-DIMENSIONAL VLASOV–POISSON PROBLEM Mathematical Models and Methods in Applied Sciences. 22: 1250042. DOI: 10.1142/S021820251250042X |
0.513 |
|
2012 |
Yang Y, Shu C. Analysis of Optimal Superconvergence of Discontinuous Galerkin Method for Linear Hyperbolic Equations Siam Journal On Numerical Analysis. 50: 3110-3133. DOI: 10.1137/110857647 |
0.409 |
|
2012 |
Meng X, Shu C, Zhang Q, Wu B. Superconvergence of Discontinuous Galerkin Methods for Scalar Nonlinear Conservation Laws in One Space Dimension Siam Journal On Numerical Analysis. 50: 2336-2356. DOI: 10.1137/110857635 |
0.402 |
|
2012 |
Zhang X, Liu Y, Shu C. Maximum-principle-satisfying High Order Finite Volume Weighted Essentially Nonoscillatory Schemes for Convection-diffusion Equations Siam Journal On Scientific Computing. 34: A627-A658. DOI: 10.1137/110839230 |
0.511 |
|
2012 |
Xu Y, Shu C. Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations Siam Journal On Numerical Analysis. 50: 79-104. DOI: 10.1137/11082258X |
0.474 |
|
2012 |
Meng X, Shu C, Wu B. Superconvergence of the local discontinuous Galerkin method for linear fourth-order time-dependent problems in one space dimension Ima Journal of Numerical Analysis. 32: 1294-1328. DOI: 10.1093/Imanum/Drr047 |
0.401 |
|
2012 |
Tan S, Wang C, Shu C, Ning J. Efficient implementation of high order inverse Lax–Wendroff boundary treatment for conservation laws Journal of Computational Physics. 231: 2510-2527. DOI: 10.1016/J.Jcp.2011.11.037 |
0.427 |
|
2012 |
Zhang X, Shu C. Positivity-preserving high order finite difference WENO schemes for compressible Euler equations Journal of Computational Physics. 231: 2245-2258. DOI: 10.1016/J.Jcp.2011.11.020 |
0.508 |
|
2012 |
Wang C, Zhang X, Shu C, Ning J. Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations Journal of Computational Physics. 231: 653-665. DOI: 10.1016/J.Jcp.2011.10.002 |
0.486 |
|
2012 |
Wang W, Shu C, Yee H, Sjögreen B. High order finite difference methods with subcell resolution for advection equations with stiff source terms Journal of Computational Physics. 231: 190-214. DOI: 10.1016/J.Jcp.2011.08.031 |
0.511 |
|
2012 |
Zhou CH, Shu C. Extension of local domain-free discretization method to simulate 3D flows with complex moving boundaries Computers and Fluids. 64: 98-107. DOI: 10.1016/j.compfluid.2012.05.012 |
0.302 |
|
2012 |
Xing Y, Shu C. High Order Well-Balanced WENO Scheme for the Gas Dynamics Equations Under Gravitational Fields Journal of Scientific Computing. 54: 645-662. DOI: 10.1007/S10915-012-9585-8 |
0.624 |
|
2012 |
Xiong T, Shu C, Zhang M. WENO Scheme with Subcell Resolution for Computing Nonconservative Euler Equations with Applications to One-Dimensional Compressible Two-Medium Flows Journal of Scientific Computing. 53: 222-247. DOI: 10.1007/S10915-012-9578-7 |
0.446 |
|
2011 |
Xu Y, Shu C. Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation Communications in Computational Physics. 10: 474-508. DOI: 10.4208/Cicp.300410.300710A |
0.504 |
|
2011 |
Zhang R, Zhang M, Shu C. On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes Communications in Computational Physics. 9: 807-827. DOI: 10.4208/Cicp.291109.080410S |
0.48 |
|
2011 |
Liu W, Yuan L, Shu C. A Conservative Modification to the Ghost Fluid Method for Compressible Multiphase Flows Communications in Computational Physics. 10: 785-806. DOI: 10.4208/Cicp.201209.161010A |
0.478 |
|
2011 |
Qiu J, Shu C. Conservative Semi-Lagrangian Finite Difference WENO Formulations with Applications to the Vlasov Equation Communications in Computational Physics. 10: 979-1000. DOI: 10.4208/Cicp.180210.251110A |
0.654 |
|
2011 |
Ayuso B, Carrillo JA, Shu C. Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system Kinetic and Related Models. 4: 955-989. DOI: 10.3934/Krm.2011.4.955 |
0.506 |
|
2011 |
Liu Y, Shu C, Zhang M. High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations Siam Journal On Scientific Computing. 33: 939-965. DOI: 10.1137/100791002 |
0.539 |
|
2011 |
Bokanowski O, Cheng Y, Shu C. A Discontinuous Galerkin Solver for Front Propagation Siam Journal On Scientific Computing. 33: 923-938. DOI: 10.1137/090771909 |
0.663 |
|
2011 |
Zhang Y, Chen S, Li F, Zhao H, Shu C. Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations Siam Journal On Scientific Computing. 33: 1873-1896. DOI: 10.1137/090770291 |
0.808 |
|
2011 |
Zhang X, Shu C. Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 467: 2752-2776. DOI: 10.1098/Rspa.2011.0153 |
0.496 |
|
2011 |
Yang Y, Roy I, Shu C, Fang L. EFFECT OF DUST ON Lyα PHOTON TRANSFER IN AN OPTICALLY THICK HALO The Astrophysical Journal. 739: 91. DOI: 10.1088/0004-637X/739/2/91 |
0.767 |
|
2011 |
Sun W, Wong S, Zhang P, Shu C. A shock-fitting algorithm for the Lighthill–Whitham–Richards model on inhomogeneous highways Transportmetrica. 7: 163-180. DOI: 10.1080/18128600903313936 |
0.341 |
|
2011 |
Liu Y, Shu CW, Tadmor E, Zhang M. Central local discontinuous galerkin methods on overlapping cells for diffusion equations Esaim: Mathematical Modelling and Numerical Analysis. 45: 1009-1032. DOI: 10.1051/M2An/2011007 |
0.449 |
|
2011 |
Qiu J, Shu C. Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: Theoretical analysis and application to the Vlasov–Poisson system Journal of Computational Physics. 230: 8386-8409. DOI: 10.1016/J.Jcp.2011.07.018 |
0.662 |
|
2011 |
Xu Z, Liu Y, Du H, Lin G, Shu CW. Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws Journal of Computational Physics. 230: 6843-6865. DOI: 10.1016/J.Jcp.2011.05.014 |
0.518 |
|
2011 |
Tan S, Shu C. A high order moving boundary treatment for compressible inviscid flows Journal of Computational Physics. 230: 6023-6036. DOI: 10.1016/J.Jcp.2011.04.011 |
0.464 |
|
2011 |
Zhang X, Shu C. Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms Journal of Computational Physics. 230: 1238-1248. DOI: 10.1016/J.Jcp.2010.10.036 |
0.48 |
|
2011 |
Qiu J, Shu C. Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow Journal of Computational Physics. 230: 863-889. DOI: 10.1016/J.Jcp.2010.04.037 |
0.675 |
|
2011 |
Wang W, Yee H, Sjögreen B, Magin T, Shu C. Construction of low dissipative high-order well-balanced filter schemes for non-equilibrium flows Journal of Computational Physics. 230: 4316-4335. DOI: 10.1016/J.Jcp.2010.04.033 |
0.402 |
|
2011 |
Zhong X, Shu C. Numerical resolution of discontinuous Galerkin methods for time dependent wave equations Computer Methods in Applied Mechanics and Engineering. 200: 2814-2827. DOI: 10.1016/J.Cma.2011.05.010 |
0.481 |
|
2011 |
Zhang R, Zhang M, Shu C. High order positivity-preserving finite volume WENO schemes for a hierarchical size-structured population model Journal of Computational and Applied Mathematics. 236: 937-949. DOI: 10.1016/J.Cam.2011.05.007 |
0.452 |
|
2011 |
Xing Y, Shu C. High-order finite volume WENO schemes for the shallow water equations with dry states Advances in Water Resources. 34: 1026-1038. DOI: 10.1016/J.Advwatres.2011.05.008 |
0.633 |
|
2011 |
Zhang X, Xia Y, Shu C. Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes Journal of Scientific Computing. 50: 29-62. DOI: 10.1007/S10915-011-9472-8 |
0.542 |
|
2011 |
Shi X, Chen J, Bi W, Shu C, She Z. Numerical simulations of compressible mixing layers with a discontinuous Galerkin method Acta Mechanica Sinica. 27: 318-329. DOI: 10.1007/S10409-011-0433-0 |
0.352 |
|
2011 |
Zhang X, Shu C. A minimum entropy principle of high order schemes for gas dynamics equations Numerische Mathematik. 121: 545-563. DOI: 10.1007/S00211-011-0443-7 |
0.493 |
|
2011 |
Zhou CH, Shu C. A local domain-free discretization method for simulation of incompressible flows over moving bodies International Journal For Numerical Methods in Fluids. 66: 162-182. DOI: 10.1002/fld.2245 |
0.356 |
|
2010 |
Xu Y, Shu C. Dissipative Numerical Methods For the Hunter-Saxton Equation Journal of Computational Mathematics. 28. DOI: 10.4208/Jcm.2009.10-M1013 |
0.527 |
|
2010 |
Zhang Q, Shu C. Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge–Kutta Discontinuous Galerkin Method for Scalar Conservation Laws Siam Journal On Numerical Analysis. 48: 1038-1063. DOI: 10.1137/090771363 |
0.452 |
|
2010 |
Zhang X, Shu C. A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws Siam Journal On Numerical Analysis. 48: 772-795. DOI: 10.1137/090764384 |
0.49 |
|
2010 |
Cheng Y, Shu C. Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension Siam Journal On Numerical Analysis. 47: 4044-4072. DOI: 10.1137/090747701 |
0.663 |
|
2010 |
Xiong T, Zhang M, Shu C, Wong S, Zhang P. High-Order Computational Scheme for a Dynamic Continuum Model for Bi-Directional Pedestrian Flows Computer-Aided Civil and Infrastructure Engineering. 26: 298-310. DOI: 10.1111/J.1467-8667.2010.00688.X |
0.481 |
|
2010 |
Roy I, Shu CW, Fang LZ. Resonant scattering and Lyα radiation emergent from neutral hydrogen halos Astrophysical Journal. 716: 604-614. DOI: 10.1088/0004-637X/716/1/604 |
0.779 |
|
2010 |
Zhang X, Shu C. On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes Journal of Computational Physics. 229: 8918-8934. DOI: 10.1016/J.Jcp.2010.08.016 |
0.536 |
|
2010 |
Wang C, Shu C. An interface treating technique for compressible multi-medium flow with Runge–Kutta discontinuous Galerkin method Journal of Computational Physics. 229: 8823-8843. DOI: 10.1016/J.Jcp.2010.08.012 |
0.453 |
|
2010 |
Tan S, Shu C. Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws Journal of Computational Physics. 229: 8144-8166. DOI: 10.1016/J.Jcp.2010.07.014 |
0.402 |
|
2010 |
Cheng J, Shu C. A cell-centered Lagrangian scheme with the preservation of symmetry and conservation properties for compressible fluid flows in two-dimensional cylindrical geometry Journal of Computational Physics. 229: 7191-7206. DOI: 10.1016/J.Jcp.2010.06.007 |
0.46 |
|
2010 |
Zhang X, Shu C. On maximum-principle-satisfying high order schemes for scalar conservation laws Journal of Computational Physics. 229: 3091-3120. DOI: 10.1016/J.Jcp.2009.12.030 |
0.552 |
|
2010 |
Xia Y, Xu Y, Shu C. Local discontinuous Galerkin methods for the generalized Zakharov system Journal of Computational Physics. 229: 1238-1259. DOI: 10.1016/J.Jcp.2009.10.029 |
0.463 |
|
2010 |
Xing Y, Zhang X, Shu C. Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations Advances in Water Resources. 33: 1476-1493. DOI: 10.1016/J.Advwatres.2010.08.005 |
0.599 |
|
2010 |
Liu Y, Shu C. Error analysis of the semi-discrete local discontinuous Galerkin method for semiconductor device simulation models Science China Mathematics. 53: 3255-3278. DOI: 10.1007/S11425-010-4075-7 |
0.417 |
|
2010 |
Zhang S, Jiang S, Shu C. Improvement of Convergence to Steady State Solutions of Euler Equations with the WENO Schemes Journal of Scientific Computing. 47: 216-238. DOI: 10.1007/S10915-010-9435-5 |
0.502 |
|
2010 |
Xing Y, Shu C, Noelle S. On the Advantage of Well-Balanced Schemes for Moving-Water Equilibria of the Shallow Water Equations Journal of Scientific Computing. 48: 339-349. DOI: 10.1007/S10915-010-9377-Y |
0.527 |
|
2010 |
Xiong T, Zhang M, Zhang Y, Shu C. Fast Sweeping Fifth Order WENO Scheme for Static Hamilton-Jacobi Equations with Accurate Boundary Treatment Journal of Scientific Computing. 45: 514-536. DOI: 10.1007/S10915-010-9345-6 |
0.653 |
|
2009 |
Xia Y, Wong SC, Shu CW. Dynamic continuum pedestrian flow model with memory effect. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 79: 066113. PMID 19658570 DOI: 10.1103/Physreve.79.066113 |
0.363 |
|
2009 |
Lu Y, Wong SC, Zhang M, Shu C. The Entropy Solutions for the Lighthill-Whitham-Richards Traffic Flow Model with a Discontinuous Flow-Density Relationship Transportation Science. 43: 511-530. DOI: 10.1287/Trsc.1090.0277 |
0.366 |
|
2009 |
Dong B, Shu C. Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems Siam Journal On Numerical Analysis. 47: 3240-3268. DOI: 10.1137/080737472 |
0.493 |
|
2009 |
Xu Y, Shu C. Local Discontinuous Galerkin Method for the Hunter–Saxton Equation and Its Zero-Viscosity and Zero-Dispersion Limits Siam Journal On Scientific Computing. 31: 1249-1268. DOI: 10.1137/080714105 |
0.482 |
|
2009 |
Shu CW. High order weighted essentially nonoscillatory schemes for convection dominated problems Siam Review. 51: 82-126. DOI: 10.1137/070679065 |
0.479 |
|
2009 |
Liu Y, Shu C, Xu Z. Hierarchical reconstruction with up to second degree remainder for solving nonlinear conservation laws Nonlinearity. 22: 2799-2812. DOI: 10.1088/0951-7715/22/12/001 |
0.415 |
|
2009 |
Roy I, Xu W, Qiu J, Shu C, Fang L. Wouthuysen-field Coupling in the 21 cm Region Around High-redshift Sources The Astrophysical Journal. 703: 1992-2003. DOI: 10.1088/0004-637X/703/2/1992 |
0.773 |
|
2009 |
Roy I, Xu W, Qiu J, Shu C, Fang L. Time Evolution of Wouthuysen-Field Coupling The Astrophysical Journal. 694: 1121-1130. DOI: 10.1088/0004-637X/694/2/1121 |
0.799 |
|
2009 |
Zhang S, Jiang S, Zhang Y, Shu C. The mechanism of sound generation in the interaction between a shock wave and two counter-rotating vortices Physics of Fluids. 21: 076101. DOI: 10.1063/1.3176473 |
0.536 |
|
2009 |
Jiang Y, Xiong T, Wong S, Shu C, Zhang M, Zhang P, Lam WH. A reactive dynamic continuum user equilibrium model for bi-directional pedestrian flows Acta Mathematica Scientia. 29: 1541-1555. DOI: 10.1016/S0252-9602(10)60002-1 |
0.423 |
|
2009 |
Huang L, Wong S, Zhang M, Shu C, Lam WH. Revisiting Hughes’ dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm Transportation Research Part B: Methodological. 43: 127-141. DOI: 10.1016/J.Trb.2008.06.003 |
0.422 |
|
2009 |
Roy I, Qiu J, Shu C, Fang L. A WENO algorithm for radiative transfer with resonant scattering and the Wouthuysen–Field coupling New Astronomy. 14: 513-520. DOI: 10.1016/J.Newast.2009.01.006 |
0.791 |
|
2009 |
Liu W, Cheng J, Shu C. High order conservative Lagrangian schemes with Lax–Wendroff type time discretization for the compressible Euler equations Journal of Computational Physics. 228: 8872-8891. DOI: 10.1016/J.Jcp.2009.09.001 |
0.489 |
|
2009 |
Wang W, Shu C, Yee H, Sjögreen B. High-order well-balanced schemes and applications to non-equilibrium flow Journal of Computational Physics. 228: 6682-6702. DOI: 10.1016/J.Jcp.2009.05.028 |
0.476 |
|
2009 |
Xu Z, Liu Y, Shu C. Hierarchical reconstruction for spectral volume method on unstructured grids Journal of Computational Physics. 228: 5787-5802. DOI: 10.1016/J.Jcp.2009.05.001 |
0.416 |
|
2009 |
Xu Z, Liu Y, Shu C. Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells Journal of Computational Physics. 228: 2194-2212. DOI: 10.1016/J.Jcp.2008.11.025 |
0.47 |
|
2009 |
Cheng Y, Shu C. Superconvergence of local discontinuous Galerkin methods for one-dimensional convection–diffusion equations Computers & Structures. 87: 630-641. DOI: 10.1016/J.Compstruc.2008.11.012 |
0.697 |
|
2009 |
Cheng Y, Gamba IM, Majorana A, Shu C. A discontinuous Galerkin solver for Boltzmann–Poisson systems in nano devices Computer Methods in Applied Mechanics and Engineering. 198: 3130-3150. DOI: 10.1016/J.Cma.2009.05.015 |
0.598 |
|
2009 |
Zhang M, Shu C. Fourier analysis for discontinuous Galerkin and related methods Science Bulletin. 54: 1809-1816. DOI: 10.1007/S11434-009-0365-2 |
0.408 |
|
2009 |
Gottlieb S, Ketcheson DI, Shu CW. High order strong stability preserving time discretizations Journal of Scientific Computing. 38: 251-289. DOI: 10.1007/S10915-008-9239-Z |
0.451 |
|
2009 |
Liu Y, Shu C, Zhang M. On the positivity of linear weights in WENO approximations Acta Mathematicae Applicatae Sinica, English Series. 25: 503-538. DOI: 10.1007/S10255-008-8826-Y |
0.418 |
|
2009 |
Zhou CH, Shu C. A local domain-free discretization method to simulate three-dimensional compressible inviscid flows International Journal For Numerical Methods in Fluids. 61: 970-986. DOI: 10.1002/fld.1992 |
0.356 |
|
2008 |
Wang W, Li X, Shu C. The Discontinuous Galerkin Method for the Multiscale Modeling of Dynamics of Crystalline Solids Multiscale Modeling & Simulation. 7: 294-320. DOI: 10.1137/070701212 |
0.386 |
|
2008 |
Qiu J, Shu C. Convergence of High Order Finite Volume Weighted Essentially Nonoscillatory Scheme and Discontinuous Galerkin Method for Nonconvex Conservation Laws Siam Journal On Scientific Computing. 31: 584-607. DOI: 10.1137/070687487 |
0.641 |
|
2008 |
Xu Y, Shu C. A Local Discontinuous Galerkin Method for the Camassa–Holm Equation Siam Journal On Numerical Analysis. 46: 1998-2021. DOI: 10.1137/070679764 |
0.483 |
|
2008 |
Qiu J, Shu C. Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Large Time Steps Siam Journal On Numerical Analysis. 46: 2211-2237. DOI: 10.1137/060657911 |
0.615 |
|
2008 |
Liu Y, Shu CW, Tadmor E, Zhang M. L2 stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods Mathematical Modelling and Numerical Analysis. 42: 593-607. DOI: 10.1051/M2An:2008018 |
0.444 |
|
2008 |
Lu Y, Wong S, Zhang M, Shu C, Chen W. Explicit construction of entropy solutions for the Lighthill–Whitham–Richards traffic flow model with a piecewise quadratic flow–density relationship Transportation Research Part B: Methodological. 42: 355-372. DOI: 10.1016/J.Trb.2007.08.004 |
0.386 |
|
2008 |
QIU J, SHU C, LIU J, FANG L. A WENO algorithm for the growth of ionized regions at the reionization epoch New Astronomy. 13: 1-11. DOI: 10.1016/J.Newast.2007.06.002 |
0.487 |
|
2008 |
Cheng Y, Shu C. Superconvergence and time evolution of discontinuous Galerkin finite element solutions Journal of Computational Physics. 227: 9612-9627. DOI: 10.1016/J.Jcp.2008.07.010 |
0.666 |
|
2008 |
Li F, Shu C, Zhang Y, Zhao H. A second order discontinuous Galerkin fast sweeping method for Eikonal equations Journal of Computational Physics. 227: 8191-8208. DOI: 10.1016/J.Jcp.2008.05.018 |
0.741 |
|
2008 |
Zhang S, Jiang S, Shu C. Development of nonlinear weighted compact schemes with increasingly higher order accuracy Journal of Computational Physics. 227: 7294-7321. DOI: 10.1016/J.Jcp.2008.04.012 |
0.432 |
|
2008 |
Zhu J, Qiu J, Shu C, Dumbser M. Runge–Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes Journal of Computational Physics. 227: 4330-4353. DOI: 10.1016/J.Jcp.2007.12.024 |
0.492 |
|
2008 |
Cheng J, Shu C. A high order accurate conservative remapping method on staggered meshes Applied Numerical Mathematics. 58: 1042-1060. DOI: 10.1016/J.Apnum.2007.04.015 |
0.416 |
|
2008 |
Xu Y, Shu C. Local Discontinuous Galerkin Method for Surface Diffusion and Willmore Flow of Graphs Journal of Scientific Computing. 40: 375-390. DOI: 10.1007/S10915-008-9262-0 |
0.406 |
|
2008 |
Wang W, Shu C. The WKB Local Discontinuous Galerkin Method for the Simulation of Schrödinger Equation in a Resonant Tunneling Diode Journal of Scientific Computing. 40: 360-374. DOI: 10.1007/S10915-008-9237-1 |
0.488 |
|
2008 |
Xia Y, Wong SC, Zhang M, Shu C, Lam WHK. An efficient discontinuous Galerkin method on triangular meshes for a pedestrian flow model International Journal For Numerical Methods in Engineering. 76: 337-350. DOI: 10.1002/Nme.2329 |
0.428 |
|
2008 |
Chen W, Wong SC, Shu C. Efficient implementation of the shock-fitting algorithm for the Lighthill–Whitham–Richards traffic flow model International Journal For Numerical Methods in Engineering. 74: 554-600. DOI: 10.1002/Nme.2185 |
0.382 |
|
2008 |
Yuan L, Shu C. Discontinuous Galerkin method for a class of elliptic multi-scale problems International Journal For Numerical Methods in Fluids. 56: 1017-1032. DOI: 10.1002/Fld.1605 |
0.564 |
|
2007 |
Xia Y, Xu Y, Shu C. Efficient time discretization for local discontinuous Galerkin methods Discrete and Continuous Dynamical Systems-Series B. 8: 677-693. DOI: 10.3934/Dcdsb.2007.8.677 |
0.446 |
|
2007 |
Curtis S, Kirby RM, Ryan JK, Shu CW. Postprocessing for the discontinuous Galerkin method over nonuniform meshes Siam Journal On Scientific Computing. 30: 272-289. DOI: 10.1137/070681284 |
0.452 |
|
2007 |
Liu Y, Shu CW, Tadmor E, Zhang M. Central discontinuous Galerkin methods on overlapping cells with a nonoscillatory hierarchical reconstruction Siam Journal On Numerical Analysis. 45: 2442-2467. DOI: 10.1137/060666974 |
0.459 |
|
2007 |
Shen J, Shu C, Zhang M. High Resolution Schemes for a Hierarchical Size‐Structured Model Siam Journal On Numerical Analysis. 45: 352-370. DOI: 10.1137/050638126 |
0.46 |
|
2007 |
Cheng Y, Shu C. A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives Mathematics of Computation. 77: 699-731. DOI: 10.1090/S0025-5718-07-02045-5 |
0.68 |
|
2007 |
Liu J, Qiu J, Feng L, Shu C, Fang L. 21 cm Signals from Early Ionizing Sources The Astrophysical Journal. 663: 1-9. DOI: 10.1086/518208 |
0.473 |
|
2007 |
QIU J, FENG L, SHU C, FANG L. A WENO algorithm of the temperature and ionization profiles around a point source New Astronomy. 12: 398-409. DOI: 10.1016/J.Newast.2006.12.004 |
0.554 |
|
2007 |
Cheng J, Shu C. A high order ENO conservative Lagrangian type scheme for the compressible Euler equations Journal of Computational Physics. 227: 1567-1596. DOI: 10.1016/J.Jcp.2007.09.017 |
0.51 |
|
2007 |
Xia Y, Xu Y, Shu C. Local discontinuous Galerkin methods for the Cahn–Hilliard type equations Journal of Computational Physics. 227: 472-491. DOI: 10.1016/J.Jcp.2007.08.001 |
0.481 |
|
2007 |
Noelle S, Xing Y, Shu C. High-order well-balanced finite volume WENO schemes for shallow water equation with moving water Journal of Computational Physics. 226: 29-58. DOI: 10.1016/J.Jcp.2007.03.031 |
0.632 |
|
2007 |
Chen S, E W, Liu Y, Shu CW. A discontinuous Galerkin implementation of a domain decomposition method for kinetic-hydrodynamic coupling multiscale problems in gas dynamics and device simulations Journal of Computational Physics. 225: 1314-1330. DOI: 10.1016/J.Jcp.2007.01.025 |
0.639 |
|
2007 |
Chou C, Shu C. High order residual distribution conservative finite difference WENO schemes for convection–diffusion steady state problems on non-smooth meshes Journal of Computational Physics. 224: 992-1020. DOI: 10.1016/J.Jcp.2006.11.006 |
0.712 |
|
2007 |
Cheng Y, Shu C. A discontinuous Galerkin finite element method for directly solving the Hamilton–Jacobi equations Journal of Computational Physics. 223: 398-415. DOI: 10.1016/J.Jcp.2006.09.012 |
0.718 |
|
2007 |
Xu Y, Shu C. Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection–diffusion and KdV equations Computer Methods in Applied Mechanics and Engineering. 196: 3805-3822. DOI: 10.1016/J.Cma.2006.10.043 |
0.457 |
|
2007 |
Shen J, Shu C, Zhang M. A High Order WENO Scheme for a Hierarchical Size-Structured Population Model Journal of Scientific Computing. 33: 279-291. DOI: 10.1007/S10915-007-9152-X |
0.462 |
|
2006 |
Li F, Shu CS. A Local-structure-preserving Local Discontinuous Galerkin Method for the Laplace Equation Methods and Applications of Analysis. 13: 215-234. DOI: 10.4310/Maa.2006.V13.N2.A7 |
0.56 |
|
2006 |
Kremeyer K, Sebastian K, Shu C. Computational Study of Shock Mitigation and Drag Reduction by Pulsed Energy Lines Aiaa Journal. 44: 1720-1731. DOI: 10.2514/1.17854 |
0.754 |
|
2006 |
Zhang Q, Shu C. Error Estimates to Smooth Solutions of Runge–Kutta Discontinuous Galerkin Method for Symmetrizable Systems of Conservation Laws Siam Journal On Numerical Analysis. 44: 1703-1720. DOI: 10.1137/040620382 |
0.374 |
|
2006 |
Levy D, Nayak S, Shu C, Zhang Y. Central WENO Schemes for Hamilton–Jacobi Equations on Triangular Meshes Siam Journal On Scientific Computing. 28: 2229-2247. DOI: 10.1137/040612002 |
0.675 |
|
2006 |
Zhang S, Zhang Y, Shu C. Interaction of an oblique shock wave with a pair of parallel vortices: Shock dynamics and mechanism of sound generation Physics of Fluids. 18: 126101. DOI: 10.1063/1.2391806 |
0.562 |
|
2006 |
Zhang Y, Shu C, Zhou Y. Effects of shock waves on Rayleigh-Taylor instability Physics of Plasmas. 13: 062705. DOI: 10.1063/1.2201063 |
0.574 |
|
2006 |
QIU J, SHU C, FENG L, FANG L. A WENO algorithm for the radiative transfer and ionized sphere at reionization New Astronomy. 12: 1-10. DOI: 10.1016/J.Newast.2006.04.007 |
0.586 |
|
2006 |
Yuan L, Shu C. Discontinuous Galerkin method based on non-polynomial approximation spaces Journal of Computational Physics. 218: 295-323. DOI: 10.1016/J.Jcp.2006.02.013 |
0.583 |
|
2006 |
Chou C, Shu C. High order residual distribution conservative finite difference WENO schemes for steady state problems on non-smooth meshes Journal of Computational Physics. 214: 698-724. DOI: 10.1016/J.Jcp.2005.10.007 |
0.703 |
|
2006 |
Xing Y, Shu C. High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms Journal of Computational Physics. 214: 567-598. DOI: 10.1016/J.Jcp.2005.10.005 |
0.659 |
|
2006 |
Ding H, Shu C. A stencil adaptive algorithm for finite difference solution of incompressible viscous flows Journal of Computational Physics. 214: 397-420. DOI: 10.1016/j.jcp.2005.09.021 |
0.331 |
|
2006 |
Carrillo JA, Gamba IM, Majorana A, Shu C. 2D semiconductor device simulations by WENO-Boltzmann schemes: Efficiency, boundary conditions and comparison to Monte Carlo methods Journal of Computational Physics. 214: 55-80. DOI: 10.1016/J.Jcp.2005.09.005 |
0.445 |
|
2006 |
Zhang P, Wong S, Shu C. A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway Journal of Computational Physics. 212: 739-756. DOI: 10.1016/J.Jcp.2005.07.019 |
0.453 |
|
2006 |
Qiu J, Khoo BC, Shu C. A numerical study for the performance of the Runge–Kutta discontinuous Galerkin method based on different numerical fluxes Journal of Computational Physics. 212: 540-565. DOI: 10.1016/J.Jcp.2005.07.011 |
0.508 |
|
2006 |
Xu Y, Shu C. Local discontinuous Galerkin methods for the Kuramoto–Sivashinsky equations and the Ito-type coupled KdV equations Computer Methods in Applied Mechanics and Engineering. 195: 3430-3447. DOI: 10.1016/J.Cma.2005.06.021 |
0.505 |
|
2006 |
Zhang S, Shu C. A New Smoothness Indicator for the WENO Schemes and Its Effect on the Convergence to Steady State Solutions Journal of Scientific Computing. 31: 273-305. DOI: 10.1007/S10915-006-9111-Y |
0.484 |
|
2006 |
Gottlieb S, Gottlieb D, Shu C. Recovering High-Order Accuracy in WENO Computations of Steady-State Hyperbolic Systems Journal of Scientific Computing. 28: 307-318. DOI: 10.1007/S10915-006-9078-8 |
0.47 |
|
2006 |
Cáceres MJ, Carrillo JA, Gamba I, Majorana A, Shu C. DSMC versus WENO-BTE: A double gate MOSFET example Journal of Computational Electronics. 5: 471-474. DOI: 10.1007/S10825-006-0035-4 |
0.466 |
|
2005 |
Shu C, Xu Z. Anti-diffusive High Order WENO Schemes for Hamilton-Jacobi Equations Methods and Applications of Analysis. 12: 169-190. DOI: 10.4310/Maa.2005.V12.N2.A6 |
0.67 |
|
2005 |
Ryan J, Shu C, Atkins H. Extension of a Post Processing Technique for the Discontinuous Galerkin Method for Hyperbolic Equations with Application to an Aeroacoustic Problem Siam Journal On Scientific Computing. 26: 821-843. DOI: 10.1137/S1064827503423998 |
0.469 |
|
2005 |
Chen S, E W, Shu C. The Heterogeneous Multiscale Method Based on the Discontinuous Galerkin Method for Hyperbolic and Parabolic Problems Multiscale Modeling & Simulation. 3: 871-894. DOI: 10.1137/040612622 |
0.66 |
|
2005 |
Filbet F, Shu C. Approximation of Hyperbolic Models for Chemosensitive Movement Siam Journal On Scientific Computing. 27: 850-872. DOI: 10.1137/040604054 |
0.478 |
|
2005 |
Zhang S, Zhang Y, Shu C. Multistage interaction of a shock wave and a strong vortex Physics of Fluids. 17: 116101. DOI: 10.1063/1.2084233 |
0.531 |
|
2005 |
Xu Y, Shu C. Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations Physica D: Nonlinear Phenomena. 208: 21-58. DOI: 10.1016/J.Physd.2005.06.007 |
0.484 |
|
2005 |
Xing Y, Shu C. High order finite difference WENO schemes with the exact conservation property for the shallow water equations Journal of Computational Physics. 208: 206-227. DOI: 10.1016/J.Jcp.2005.02.006 |
0.642 |
|
2005 |
Xu Z, Shu C. Anti-diffusive flux corrections for high order finite difference WENO schemes Journal of Computational Physics. 205: 458-485. DOI: 10.1016/J.Jcp.2004.11.014 |
0.701 |
|
2005 |
Xu Y, Shu C. Local discontinuous Galerkin methods for nonlinear Schrödinger equations Journal of Computational Physics. 205: 72-97. DOI: 10.1016/J.Jcp.2004.11.001 |
0.45 |
|
2005 |
Qiu J, Shu C. Hermite WENO schemes for Hamilton–Jacobi equations Journal of Computational Physics. 204: 82-99. DOI: 10.1016/J.Jcp.2004.10.003 |
0.465 |
|
2005 |
Qiu J, Shu C. Hermite WENO schemes and their application as limiters for Runge–Kutta discontinuous Galerkin method II: Two dimensional case Computers & Fluids. 34: 642-663. DOI: 10.1016/J.Compfluid.2004.05.005 |
0.529 |
|
2005 |
Zhang M, Shu C. An analysis of and a comparison between the discontinuous Galerkin and the spectral finite volume methods Computers & Fluids. 34: 581-592. DOI: 10.1016/J.Compfluid.2003.05.006 |
0.436 |
|
2005 |
Qiu J, Dumbser M, Shu C. The discontinuous Galerkin method with Lax–Wendroff type time discretizations Computer Methods in Applied Mechanics and Engineering. 194: 4528-4543. DOI: 10.1016/J.Cma.2004.11.007 |
0.449 |
|
2005 |
Li F, Shu C. Reinterpretation and simplified implementation of a discontinuous Galerkin method for Hamilton–Jacobi equations Applied Mathematics Letters. 18: 1204-1209. DOI: 10.1016/J.Aml.2004.10.009 |
0.59 |
|
2005 |
Xing Y, Shu C. High-Order Well-Balanced Finite Difference WENO Schemes for a Class of Hyperbolic Systems with Source Terms Journal of Scientific Computing. 27: 477-494. DOI: 10.1007/S10915-005-9027-Y |
0.645 |
|
2005 |
Shu C, Don W, Gottlieb D, Schilling O, Jameson L. Numerical Convergence Study of Nearly Incompressible, Inviscid Taylor–Green Vortex Flow Journal of Scientific Computing. 24: 1-27. DOI: 10.1007/S10915-004-5407-Y |
0.45 |
|
2005 |
Ha Y, Gardner CL, Gelb A, Shu CW. Numerical simulation of high mach number astrophysical jets with radiative cooling Journal of Scientific Computing. 24: 597-612. DOI: 10.1007/S10915-004-4786-4 |
0.311 |
|
2005 |
Li F, Shu C. Locally divergence-free discontinuous Galerkin methods for MHD equations Journal of Scientific Computing. 22: 413-442. DOI: 10.1007/S10915-004-4146-4 |
0.64 |
|
2004 |
Zhang Q, Shu C. Error Estimates to Smooth Solutions of Runge--Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws Siam Journal On Numerical Analysis. 42: 641-666. DOI: 10.1137/S0036142902404182 |
0.362 |
|
2004 |
Feng L, Shu C, Zhang M. A Hybrid Cosmological Hydrodynamic/N-Body Code Based on a Weighted Essentially Nonoscillatory Scheme The Astrophysical Journal. 612: 1-13. DOI: 10.1086/422513 |
0.448 |
|
2004 |
Zhang Q, Zhang M, Jin G, Liu D, Shu C. Modeling, numerical methods, and simulation for particle-fluid two-phase flow problems Computers & Mathematics With Applications. 47: 1437-1462. DOI: 10.1016/S0898-1221(04)90136-8 |
0.358 |
|
2004 |
Levy D, Shu C, Yan J. Local discontinuous Galerkin methods for nonlinear dispersive equations Journal of Computational Physics. 196: 751-772. DOI: 10.1016/J.Jcp.2003.11.013 |
0.702 |
|
2004 |
Cockburn B, Li F, Shu CW. Locally divergence-free discontinuous Galerkin methods for the Maxwell equations Journal of Computational Physics. 194: 588-610. DOI: 10.1016/J.Jcp.2003.09.007 |
0.623 |
|
2004 |
Qiu J, Shu C. Hermite WENO schemes and their application as limiters for Runge–Kutta discontinuous Galerkin method: one-dimensional case Journal of Computational Physics. 193: 115-135. DOI: 10.1016/J.Jcp.2003.07.026 |
0.475 |
|
2003 |
Zhang YT, Shi J, Shu CW, Zhou Y. Numerical viscosity and resolution of high-order weighted essentially nonoscillatory schemes for compressible flows with high Reynolds numbers. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 68: 046709. PMID 14683081 DOI: 10.1103/Physreve.68.046709 |
0.69 |
|
2003 |
Ryan J, Shu C. On a One-Sided Post-Processing Technique for the Discontinuous Galerkin Methods Methods and Applications of Analysis. 10: 295-308. DOI: 10.4310/Maa.2003.V10.N2.A8 |
0.45 |
|
2003 |
ZHANG M, SHU C. AN ANALYSIS OF THREE DIFFERENT FORMULATIONS OF THE DISCONTINUOUS GALERKIN METHOD FOR DIFFUSION EQUATIONS Mathematical Models and Methods in Applied Sciences. 13: 395-413. DOI: 10.1142/S0218202503002568 |
0.498 |
|
2003 |
Qiu J, Shu C. Finite Difference WENO Schemes with Lax--Wendroff-Type Time Discretizations Siam Journal On Scientific Computing. 24: 2185-2198. DOI: 10.1137/S1064827502412504 |
0.455 |
|
2003 |
Zhang Y, Shu C. High-Order WENO Schemes for Hamilton--Jacobi Equations on Triangular Meshes Siam Journal On Scientific Computing. 24: 1005-1030. DOI: 10.1137/S1064827501396798 |
0.614 |
|
2003 |
Shu CW. High-order finite difference and finite volume WENO schemes and discontinuous galerkin methods for CFD International Journal of Computational Fluid Dynamics. 17: 107-118. DOI: 10.1080/1061856031000104851 |
0.371 |
|
2003 |
Carrillo JA, Gamba IM, Majorana A, Shu C. A Direct Solver for 2D Non-Stationary Boltzmann-Poisson Systems for Semiconductor Devices: A MESFET Simulation by WENO-Boltzmann Schemes Journal of Computational Electronics. 2: 375-380. DOI: 10.1023/B:Jcel.0000011455.74817.35 |
0.425 |
|
2003 |
Sebastian K, Shu C. Journal of Scientific Computing. 19: 405-438. DOI: 10.1023/A:1025372429380 |
0.804 |
|
2003 |
Carpenter MH, Gottlieb D, Shu CW. On the Conservation and Convergence to Weak Solutions of Global Schemes Journal of Scientific Computing. 18: 111-132. DOI: 10.1023/A:1020390212806 |
0.317 |
|
2003 |
Zhang M, Shu C, Wong GC, Wong S. A weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill–Whitham–Richards traffic flow model Journal of Computational Physics. 191: 639-659. DOI: 10.1016/S0021-9991(03)00344-9 |
0.478 |
|
2003 |
Shi J, Zhang Y, Shu C. Resolution of high order WENO schemes for complicated flow structures Journal of Computational Physics. 186: 690-696. DOI: 10.1016/S0021-9991(03)00094-9 |
0.68 |
|
2003 |
Carrillo JA, Gamba IM, Majorana A, Shu C. A WENO-solver for the transients of Boltzmann–Poisson system for semiconductor devices: performance and comparisons with Monte Carlo methods Journal of Computational Physics. 184: 498-525. DOI: 10.1016/S0021-9991(02)00032-3 |
0.398 |
|
2003 |
Fedkiw RP, Sapiro G, Shu CW. Shock capturing, level sets, and PDE based methods in computer vision and image processing: A review of Osher's contributions Journal of Computational Physics. 185: 309-341. DOI: 10.1016/S0021-9991(02)00016-5 |
0.405 |
|
2003 |
Cockburn B, Li F, Shu CW. Discontinuous Galerkin methods for equations with divergence-free solutions: Preliminary results Computational Fluid and Solid Mechanics 2003. 1900-1902. DOI: 10.1016/B978-008044046-0.50465-6 |
0.324 |
|
2002 |
Yan J, Shu C. A Local Discontinuous Galerkin Method for KdV Type Equations Siam Journal On Numerical Analysis. 40: 769-791. DOI: 10.1137/S0036142901390378 |
0.57 |
|
2002 |
Cockburn B, Luskin M, Shu C, Süli E. Enhanced accuracy by post-processing for finite element methods for hyperbolic equations Mathematics of Computation. 72: 577-607. DOI: 10.1090/S0025-5718-02-01464-3 |
0.453 |
|
2002 |
Yan J, Shu C. Journal of Scientific Computing. 17: 27-47. DOI: 10.1023/A:1015132126817 |
0.478 |
|
2002 |
Lin P, Shu C. Numerical solution of a virtual internal bond model for material fracture Physica D: Nonlinear Phenomena. 167: 101-121. DOI: 10.1016/S0167-2789(02)00458-X |
0.468 |
|
2002 |
Qiu J, Shu C. On the Construction, Comparison, and Local Characteristic Decomposition for High-Order Central WENO Schemes Journal of Computational Physics. 183: 187-209. DOI: 10.1006/Jcph.2002.7191 |
0.497 |
|
2001 |
Banoo K, Rhew J, Lundstrom M, Shu C, Jerome JW. Simulating Quasi-ballistic Transport
in Si Nanotransistors Vlsi Design. 13: 5-13. DOI: 10.1155/2001/16023 |
0.302 |
|
2001 |
Gottlieb S, Shu CW, Tadmor E. Strong stability-preserving high-order time discretization methods Siam Review. 43: 89-112. DOI: 10.1137/S003614450036757X |
0.484 |
|
2001 |
Zhou T, Li Y, Shu C. Journal of Scientific Computing. 16: 145-171. DOI: 10.1023/A:1012282706985 |
0.499 |
|
2001 |
Zhou T, Guo Y, Shu C. Numerical study on Landau damping Physica D: Nonlinear Phenomena. 157: 322-333. DOI: 10.1016/S0167-2789(01)00289-5 |
0.439 |
|
2001 |
Shu C, Fan LF. A new discretization method and its application to solve incompressible Navier-Stokes equations Computational Mechanics. 27: 292-301. DOI: 10.1007/s004660100240 |
0.4 |
|
2000 |
Shu C. Analysis of elliptical waveguides by differential quadrature method Ieee Transactions On Microwave Theory and Techniques. 48: 319-322. DOI: 10.1109/22.821786 |
0.349 |
|
2000 |
Lepsky O, Hu C, Shu CW. Analysis of the discontinuous Galerkin method for Hamilton-Jacobi equations Applied Numerical Mathematics. 33: 423-434. DOI: 10.1016/S0168-9274(99)00109-9 |
0.818 |
|
2000 |
Carrillo JA, Gamba IM, Shu C. Computational macroscopic approximations to the one-dimensional relaxation-time kinetic system for semiconductors Physica D: Nonlinear Phenomena. 146: 289-306. DOI: 10.1016/S0167-2789(00)00139-1 |
0.385 |
|
2000 |
Liu J, Shu C. A High-Order Discontinuous Galerkin Method for 2D Incompressible Flows Journal of Computational Physics. 160: 577-596. DOI: 10.1006/Jcph.2000.6475 |
0.472 |
|
2000 |
Balsara DS, Shu CW. Monotonicity Preserving Weighted Essentially Non-oscillatory Schemes with Increasingly High Order of Accuracy Journal of Computational Physics. 160: 405-452. DOI: 10.1006/Jcph.2000.6443 |
0.462 |
|
1999 |
Hu C, Shu C. A Discontinuous Galerkin Finite Element Method for Hamilton--Jacobi Equations Siam Journal On Scientific Computing. 21: 666-690. DOI: 10.1137/S1064827598337282 |
0.518 |
|
1999 |
Shu C, Xue H. Solution of Helmholtz equation by differential quadrature method Computer Methods in Applied Mechanics and Engineering. 175: 203-212. DOI: 10.1016/S0045-7825(98)00370-3 |
0.352 |
|
1999 |
Hu C, Shu C. Weighted Essentially Non-oscillatory Schemes on Triangular Meshes Journal of Computational Physics. 150: 97-127. DOI: 10.1006/Jcph.1998.6165 |
0.483 |
|
1999 |
Montarnal P, Shu C. Real Gas Computation Using an Energy Relaxation Method and High-Order WENO Schemes Journal of Computational Physics. 148: 59-80. DOI: 10.1006/Jcph.1998.6105 |
0.456 |
|
1999 |
Shu C. Application of differential quadrature method to simulate natural convection in a concentric annulus International Journal For Numerical Methods in Fluids. 30: 977-993. DOI: 10.1002/(SICI)1097-0363(19990830)30:8<977::AID-FLD873>3.0.CO;2-J |
0.315 |
|
1998 |
Cockburn B, Shu C. The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems Siam Journal On Numerical Analysis. 35: 2440-2463. DOI: 10.1137/S0036142997316712 |
0.452 |
|
1998 |
Gottlieb S, Shu C. Total variation diminishing Runge-Kutta schemes Mathematics of Computation of the American Mathematical Society. 67: 73-85. DOI: 10.1090/S0025-5718-98-00913-2 |
0.492 |
|
1998 |
Cockburn B, Shu CW. The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V: Multidimensional Systems Journal of Computational Physics. 141: 199-224. DOI: 10.1006/Jcph.1998.5892 |
0.469 |
|
1998 |
Shu C, Chew YT. On the equivalence of generalized differential quadrature and highest order finite difference scheme Computer Methods in Applied Mechanics and Engineering. 155: 249-260. |
0.422 |
|
1997 |
Gottlieb D, Shu C. On the Gibbs Phenomenon and Its Resolution Siam Review. 39: 644-668. DOI: 10.1137/S0036144596301390 |
0.36 |
|
1997 |
Shu C, Zeng Y. High-order essentially non-oscillatory scheme for viscoelasticity with fading memory Quarterly of Applied Mathematics. 55: 459-484. DOI: 10.1090/Qam/1466143 |
0.341 |
|
1997 |
Shu C. Preface to the Republication of “Uniformly High Order Essentially Non-oscillatory Schemes, III,” by Harten, Engquist, Osher, and Chakravarthy Journal of Computational Physics. 131: 1-2. DOI: 10.1006/Jcph.1996.5630 |
0.522 |
|
1997 |
Shu C, Du H. Free vibration analysis of laminated composite cylindrical shells by DQM Composites Part B: Engineering. 28: 267-273. |
0.315 |
|
1997 |
Shu C, Chew YT. Fourier expansion-based differential quadrature and its application to Helmholtz eigenvalue problems Communications in Numerical Methods in Engineering. 13: 643-653. |
0.307 |
|
1996 |
Gottlieb D, Shu C. On the Gibbs Phenomenon III: Recovering Exponential Accuracy in a Sub-Interval From a Spectral Partial Sum of a Pecewise Analytic Function Siam Journal On Numerical Analysis. 33: 280-290. DOI: 10.1137/0733015 |
0.317 |
|
1996 |
Perthame B, Shu C. On positivity preserving finite volume schemes for Euler equations Numerische Mathematik. 73: 119-130. DOI: 10.1007/S002110050187 |
0.463 |
|
1996 |
Harabetian E, Osher S, Shu C. An Eulerian Approach for Vortex Motion Using a Level Set Regularization Procedure Journal of Computational Physics. 127: 15-26. DOI: 10.1006/Jcph.1996.0155 |
0.391 |
|
1996 |
Jiang G, Shu C. Efficient Implementation of Weighted ENO Schemes Journal of Computational Physics. 126: 202-228. DOI: 10.1006/Jcph.1996.0130 |
0.465 |
|
1995 |
Gottlieb D, Shu C. On the Gibbs Phenomenon IV: Recovering Exponential Accuracy in a Subinterval from a Gegenbauer Partial Sum of a Piecewise Analytic Function Mathematics of Computation. 64: 1081. DOI: 10.2307/2153484 |
0.319 |
|
1995 |
Chen Z, Cockburn B, Jerome JW, Shu CW. Mixed-RKDG Finite Element Methods for the 2-D Hydrodynamic Model for Semiconductor Device Simulation Vlsi Design. 3: 145-158. DOI: 10.1155/1995/47065 |
0.378 |
|
1995 |
Jerome JW, Shu CW. Transport Effects and Characteristic Modes in the Modeling and Simulation of Submicron Devices Ieee Transactions On Computer-Aided Design of Integrated Circuits and Systems. 14: 917-923. DOI: 10.1109/43.402490 |
0.346 |
|
1995 |
Gottlieb D, Shu CW. On the Gibbs phenomenon V:recovering exponential accuracy fromcollocation point values of a piecewise analyticfunction Numerische Mathematik. 71: 511-526. DOI: 10.1007/S002110050155 |
0.369 |
|
1995 |
Shu C, Wong PS. A note on the accuracy of spectral method applied to nonlinear conservation laws Journal of Scientific Computing. 10: 357-369. DOI: 10.1007/Bf02091780 |
0.474 |
|
1995 |
Siddiqi K, Kimia BB, Shu CW. Geometric shock-capturing ENO schemes for subpixel interpolation, computation, and curve evolution Proceedings of the Ieee International Conference On Computer Vision. 437-442. DOI: 10.1006/Gmip.1997.0438 |
0.392 |
|
1994 |
Shu C, Chew YT. Application of GDQ scheme to solve incompressible navier-stokes equations in the curvilinear coordinate system Sae Technical Papers. DOI: 10.4271/940029 |
0.388 |
|
1994 |
Casper J, Shu C, Atkins HL. A comparison of two formulations for high-order accurate essentially non-oscillatory schemes Aiaa Journal. 32: 1970-1977. DOI: 10.2514/3.12240 |
0.467 |
|
1994 |
Jiang G, Shu C. On a cell entropy inequality for discontinuous Galerkin methods Mathematics of Computation. 62: 531-538. DOI: 10.2307/2153521 |
0.421 |
|
1994 |
Cockburn B, Shu C. Nonlinearly Stable Compact Schemes for Shock Calculations Siam Journal On Numerical Analysis. 31: 607-627. DOI: 10.1137/0731033 |
0.494 |
|
1994 |
Gottlieb D, Shu C. Resolution properties of the Fourier method for discontinuous waves Computer Methods in Applied Mechanics and Engineering. 116: 27-37. DOI: 10.1016/S0045-7825(94)80005-7 |
0.308 |
|
1994 |
E W, Shu C. A Numerical Resolution Study of High Order Essentially Non-oscillatory Schemes Applied to Incompressible Flow Journal of Computational Physics. 110: 39-46. DOI: 10.1006/Jcph.1994.1004 |
0.427 |
|
1993 |
Cai W, Shu CW. Uniform High-Order Spectral Methods for One- and Two-Dimensional Euler Equations Journal of Computational Physics. 104: 427-443. DOI: 10.1006/Jcph.1993.1041 |
0.505 |
|
1992 |
Shu C, Richard BE. Parallel simulation of incompressible viscous flows by generalized differential quadrature Computing Systems in Engineering. 3: 271-281. DOI: 10.1016/0956-0521(92)90112-V |
0.341 |
|
1992 |
Gottlieb D, Shu C, Solomonoff A, Vandeven H. On the Gibbs phenomenon I: recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function Journal of Computational and Applied Mathematics. 43: 81-98. DOI: 10.1016/0377-0427(92)90260-5 |
0.309 |
|
1992 |
Shu CW, Zang TA, Erlebacher G, Whitaker D, Osher S. High-order ENO schemes applied to two- and three-dimensional compressible flow Applied Numerical Mathematics. 9: 45-71. DOI: 10.1016/0168-9274(92)90066-M |
0.513 |
|
1992 |
Cai W, Shu C. Uniform high order spectral methods for one- and two-dimensional Euler equations Journal of Computational Physics. 102: 425. DOI: 10.1016/0021-9991(92)90392-C |
0.356 |
|
1992 |
Shu C, Richards BE. Application of the highest order finite difference scheme to solve incompressible Navier-Stokes equations . |
0.444 |
|
1991 |
Osher S, Shu C. High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations Siam Journal On Numerical Analysis. 28: 907-922. DOI: 10.1137/0728049 |
0.526 |
|
1990 |
Shu CW. Numerical experiments on the accuracy of ENO and modified ENO schemes Journal of Scientific Computing. 5: 127-149. DOI: 10.1007/Bf01065581 |
0.438 |
|
1989 |
Cockburn B, Shu CW. Tvb runge-kutta local projection discontinuous galerkin finite element method for conservation laws ii: General framework Mathematics of Computation. 52: 411-435. DOI: 10.1090/S0025-5718-1989-0983311-4 |
0.369 |
|
1989 |
Shu C, Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes, II Journal of Computational Physics. 83: 32-78. DOI: 10.1016/0021-9991(89)90222-2 |
0.467 |
|
1989 |
Cockburn B, Lin SY, Shu CW. TVB runge-kutta local projection discontinuous galerkin finite element method for conservation laws III: One-dimensional systems Journal of Computational Physics. 84: 90-113. DOI: 10.1016/0021-9991(89)90183-6 |
0.335 |
|
1989 |
Cai W, Gottlieb D, Shu C. Essentially Nonoscillatory Spectral Fourier Method for Shocks Wave Calculations Mathematics of Computation. 52: 389. DOI: 10.1007/978-3-642-60543-7_15 |
0.462 |
|
1988 |
Shu C. Total-Variation-Diminishing Time Discretizations Siam Journal On Scientific and Statistical Computing. 9: 1073-1084. DOI: 10.1137/0909073 |
0.432 |
|
1987 |
Shu CW. Tvb boundary treatment for numerical solutions of conservation laws Mathematics of Computation. 49: 123-134. DOI: 10.1090/S0025-5718-1987-0890257-7 |
0.397 |
|
1987 |
Shu CW. Tvb uniformly high-order schemes for conservation laws Mathematics of Computation. 49: 105-121. DOI: 10.1090/S0025-5718-1987-0890256-5 |
0.452 |
|
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