☰

Chi-Wang Shu - Publications

Affiliations: 
Brown University, Providence, RI 
Area:
Mathematics
Tree Info Similar researchers PubMed Report error

358 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

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
Show low-probability matches.