| Year |
Citation |
Score |
| 2020 |
Hu J, Shen J, Wang Y. A Petrov-Galerkin spectral method for the inelastic Boltzmann equation using mapped Chebyshev functions Kinetic and Related Models. 13: 677-702. DOI: 10.3934/Krm.2020023 |
0.386 |
|
| 2020 |
Li X, Shen J. Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations Siam Journal On Numerical Analysis. 58: 2465-2491. DOI: 10.1137/19M1288267 |
0.368 |
|
| 2020 |
Sheng C, Shen J, Tang T, Wang L, Yuan H. Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains Siam Journal On Numerical Analysis. 58: 2435-2464. DOI: 10.1137/19M128377X |
0.322 |
|
| 2020 |
Chen S, Shen J, Zhang Z, Zhou Z. A Spectrally Accurate Approximation to Subdiffusion Equations Using the Log Orthogonal Functions Siam Journal On Scientific Computing. 42. DOI: 10.1137/19M1281927 |
0.385 |
|
| 2020 |
Shen J, Xu J. Unconditionally Bound Preserving and Energy Dissipative Schemes for a Class of Keller--Segel Equations Siam Journal On Numerical Analysis. 58: 1674-1695. DOI: 10.1137/19M1246705 |
0.38 |
|
| 2020 |
Cheng Q, Liu C, Shen J. A new interface capturing method for Allen-Cahn type equations based on a flow dynamic approach in Lagrangian coordinates, I. One-dimensional case Journal of Computational Physics. 419: 109509. DOI: 10.1016/J.Jcp.2020.109509 |
0.374 |
|
| 2020 |
Gu Y, Shen J. Bound preserving and energy dissipative schemes for porous medium equation Journal of Computational Physics. 410: 109378. DOI: 10.1016/J.Jcp.2020.109378 |
0.375 |
|
| 2020 |
Cai J, Shen J. Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs Journal of Computational Physics. 401: 108975. DOI: 10.1016/J.Jcp.2019.108975 |
0.357 |
|
| 2020 |
Cheng Q, Liu C, Shen J. A new Lagrange multiplier approach for gradient flows Computer Methods in Applied Mechanics and Engineering. 367: 113070. DOI: 10.1016/J.Cma.2020.113070 |
0.332 |
|
| 2020 |
Cheng T, Ma L, Shen J. An efficient numerical scheme for a 3D spherical dynamo equation Journal of Computational and Applied Mathematics. 370: 112628. DOI: 10.1016/J.Cam.2019.112628 |
0.432 |
|
| 2020 |
Chen H, Mao J, Shen J. Error estimate of Gauge–Uzawa methods for incompressible flows with variable density Journal of Computational and Applied Mathematics. 364: 112321. DOI: 10.1016/J.Cam.2019.06.037 |
0.365 |
|
| 2020 |
Gu Y, Shen J. Accurate and Efficient Spectral Methods for Elliptic PDEs in Complex Domains Journal of Scientific Computing. 83: 1-20. DOI: 10.1007/S10915-020-01226-9 |
0.388 |
|
| 2020 |
Chen F, Shen J. Stability and Error Analysis of Operator Splitting Methods for American Options Under the Black-Scholes Model Journal of Scientific Computing. 82: 33. DOI: 10.1007/S10915-020-01137-9 |
0.37 |
|
| 2020 |
Chen S, Shen J. An Efficient and Accurate Numerical Method for the Spectral Fractional Laplacian Equation Journal of Scientific Computing. 82: 17. DOI: 10.1007/S10915-019-01122-X |
0.402 |
|
| 2020 |
Li X, Shen J. Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation Advances in Computational Mathematics. 46: 1-20. DOI: 10.1007/S10444-020-09789-9 |
0.408 |
|
| 2020 |
Chen H, Mao J, Shen J. Optimal error estimates for the scalar auxiliary variable finite-element schemes for gradient flows Numerische Mathematik. 145: 167-196. DOI: 10.1007/S00211-020-01112-4 |
0.323 |
|
| 2019 |
Shen J, Xu J, Yang J. A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows Siam Review. 61: 474-506. DOI: 10.1137/17M1150153 |
0.337 |
|
| 2019 |
Li X, Shen J, Rui H. Energy stability and convergence of SAV block-centered finite difference method for gradient flows Mathematics of Computation. 88: 2047-2068. DOI: 10.1090/Mcom/3428 |
0.319 |
|
| 2019 |
Zhuang Q, Shen J. Efficient SAV approach for imaginary time gradient flows with applications to one- and multi-component Bose-Einstein Condensates Journal of Computational Physics. 396: 72-88. DOI: 10.1016/J.Jcp.2019.06.043 |
0.356 |
|
| 2019 |
Shen J, Sheng C. An Efficient Space–Time Method for Time Fractional Diffusion Equation Journal of Scientific Computing. 81: 1088-1110. DOI: 10.1007/S10915-019-01052-8 |
0.405 |
|
| 2019 |
Cheng Q, Shen J, Yang X. Highly Efficient and Accurate Numerical Schemes for the Epitaxial Thin Film Growth Models by Using the SAV Approach Journal of Scientific Computing. 78: 1467-1487. DOI: 10.1007/S10915-018-0832-5 |
0.359 |
|
| 2019 |
Chen F, Shen J. Stability and convergence analysis of rotational velocity correction methods for the Navier–Stokes equations Advances in Computational Mathematics. 45: 3123-3136. DOI: 10.1007/S10444-019-09729-2 |
0.371 |
|
| 2018 |
Alici H, Shen J. Highly Efficient and Accurate Spectral Approximation of the Angular Mathieu Equation for any Parameter Values q The Journal of Men's Studies. 51: 131-149. DOI: 10.4208/Jms.V51N2.18.02 |
0.32 |
|
| 2018 |
Shen J, Xu J. Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows Siam Journal On Numerical Analysis. 56: 2895-2912. DOI: 10.1137/17M1159968 |
0.35 |
|
| 2018 |
Ma L, Shen J, Wang L, Yang Z. Wavenumber explicit analysis for time-harmonic Maxwell equations in a spherical shell and spectral approximations Ima Journal of Numerical Analysis. 38: 810-851. DOI: 10.1093/Imanum/Drx014 |
0.36 |
|
| 2018 |
Chen Y, Lowengrub J, Shen J, Wang C, Wise S. Efficient energy stable schemes for isotropic and strongly anisotropic Cahn–Hilliard systems with the Willmore regularization Journal of Computational Physics. 365: 56-73. DOI: 10.1016/J.Jcp.2018.03.024 |
0.396 |
|
| 2018 |
Shen J, Xu J, Yang J. The scalar auxiliary variable (SAV) approach for gradient flows Journal of Computational Physics. 353: 407-416. DOI: 10.1016/J.Jcp.2017.10.021 |
0.367 |
|
| 2018 |
An J, Shen J, Zhang Z. The spectral-Galerkin approximation of nonlinear eigenvalue problems Applied Numerical Mathematics. 131: 1-15. DOI: 10.1016/J.Apnum.2018.04.012 |
0.346 |
|
| 2018 |
Chen S, Shen J. Enriched Spectral Methods and Applications to Problems with Weakly Singular Solutions Journal of Scientific Computing. 77: 1468-1489. DOI: 10.1007/S10915-018-0862-Z |
0.306 |
|
| 2018 |
Shen J, Xu J, Zhang P. Approximations on SO (3) by Wigner D-matrix and Applications Journal of Scientific Computing. 74: 1706-1724. DOI: 10.1007/S10915-017-0515-7 |
0.321 |
|
| 2018 |
Chen S, Shen J, Wang L. Laguerre Functions and Their Applications to Tempered Fractional Differential Equations on Infinite Intervals Journal of Scientific Computing. 74: 1286-1313. DOI: 10.1007/S10915-017-0495-7 |
0.356 |
|
| 2018 |
Mao Z, Shen J. Spectral element method with geometric mesh for two-sided fractional differential equations Advances in Computational Mathematics. 44: 745-771. DOI: 10.1007/S10444-017-9561-9 |
0.416 |
|
| 2017 |
Colbert-Kelly S, McFadden GB, Phillips D, Shen J. Numerical Analysis and Simulation for a Generalized Planar Ginzburg-Landau Equation in a Circular Geometry. Communications in Mathematical Sciences. 15. PMID 33093815 DOI: 10.4310/Cms.2017.V15.N2.A3 |
0.38 |
|
| 2017 |
Yang X, Zhao J, Wang Q, Shen J. Numerical Approximations for a three components Cahn-Hilliard phase-field Model based on the Invariant Energy Quadratization method Mathematical Models and Methods in Applied Sciences. 27: 1993-2030. DOI: 10.1142/S0218202517500373 |
0.372 |
|
| 2017 |
Mao Z, Shen J. Hermite Spectral Methods for Fractional PDEs in Unbounded Domains Siam Journal On Scientific Computing. 39. DOI: 10.1137/16M1097109 |
0.385 |
|
| 2017 |
Cai Y, Shen J. Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows Ieee Communications Magazine. 87: 2057-2090. DOI: 10.1090/Mcom/3280 |
0.321 |
|
| 2017 |
Wu J, Shen J, Feng X. Unconditionally stable Gauge-Uzawa finite element schemes for incompressible natural convection problems with variable density Journal of Computational Physics. 348: 776-789. DOI: 10.1016/J.Jcp.2017.07.045 |
0.369 |
|
| 2017 |
Cheng Q, Yang X, Shen J. Efficient and accurate numerical schemes for a hydro-dynamically coupled phase field diblock copolymer model Journal of Computational Physics. 341: 44-60. DOI: 10.1016/J.Jcp.2017.04.010 |
0.387 |
|
| 2017 |
Alıcı H, Shen J. Highly Accurate Pseudospectral Approximations of the Prolate Spheroidal Wave Equation for Any Bandwidth Parameter and Zonal Wavenumber Journal of Scientific Computing. 71: 804-821. DOI: 10.1007/S10915-016-0321-7 |
0.325 |
|
| 2017 |
Cai Y, Choi H, Shen J. Error estimates for time discretizations of Cahn–Hilliard and Allen–Cahn phase-field models for two-phase incompressible flows Numerische Mathematik. 137: 417-449. DOI: 10.1007/S00211-017-0875-9 |
0.32 |
|
| 2016 |
Shen J, Tang T, Yang J. On the maximum principle preserving schemes for the generalized Allen–Cahn equation Communications in Mathematical Sciences. 14: 1517-1534. DOI: 10.4310/Cms.2016.V14.N6.A3 |
0.416 |
|
| 2016 |
Shen J, Wang Y. Müntz--Galerkin Methods and Applications to Mixed Dirichlet--Neumann Boundary Value Problems Siam Journal On Scientific Computing. 38. DOI: 10.1137/15M1052391 |
0.374 |
|
| 2016 |
Shen J, Wang Y, Xia J. Fast structured direct spectral methods for differential equations with variable coefficients, I. The one-dimensional case Siam Journal On Scientific Computing. 38: A28-A54. DOI: 10.1137/140986815 |
0.356 |
|
| 2016 |
Chen Y, Shen J. Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models Journal of Computational Physics. 308: 40-56. DOI: 10.1016/J.Jcp.2015.12.006 |
0.403 |
|
| 2016 |
Mao Z, Shen J. Efficient spectral-Galerkin methods for fractional partial differential equations with variable coefficients Journal of Computational Physics. 307: 243-261. DOI: 10.1016/J.Jcp.2015.11.047 |
0.374 |
|
| 2016 |
Zhao J, Yang X, Shen J, Wang Q. A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids Journal of Computational Physics. 305: 539-556. DOI: 10.1016/J.Jcp.2015.09.044 |
0.343 |
|
| 2016 |
Mao Z, Chen S, Shen J. Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations Applied Numerical Mathematics. 106: 165-181. DOI: 10.1016/J.Apnum.2016.04.002 |
0.404 |
|
| 2016 |
Choi H, Shen J. Efficient splitting schemes for magneto-hydrodynamic equations Science China-Mathematics. 59: 1495-1510. DOI: 10.1007/S11425-016-0280-5 |
0.395 |
|
| 2015 |
Shen J. Generalized Jacobi Spectral-Galerkin Method for Nonlinear Volterra Integral Equations with Weakly Singular Kernels The Journal of Men's Studies. 48: 315-329. DOI: 10.4208/Jms.V48N4.15.01 |
0.358 |
|
| 2015 |
Hu L, Brauner C, Shen J, Sivashinsky GI. Modeling and simulation of fingering pattern formation in a combustion model Mathematical Models and Methods in Applied Sciences. 25: 685-720. DOI: 10.1142/S0218202515500165 |
0.345 |
|
| 2015 |
Dijkstra H, Sengul T, Shen J, Wang S. Dynamic Transitions of Quasi-geostrophic Channel Flow Siam Journal On Applied Mathematics. 75: 2361-2378. DOI: 10.1137/15M1008166 |
0.302 |
|
| 2015 |
Shen J, Yang X. Decoupled, Energy Stable Schemes For Phase-Field Models Of Two-Phase Incompressible Flows ∗ Siam Journal On Numerical Analysis. 53: 279-296. DOI: 10.1137/140971154 |
0.379 |
|
| 2015 |
Chen S, Shen J, Wang L. Generalized Jacobi functions and their applications to fractional differential equations Ieee Communications Magazine. 85: 1603-1638. DOI: 10.1090/Mcom3035 |
0.394 |
|
| 2015 |
Dong S, Shen J. A pressure correction scheme for generalized form of energy-stable open boundary conditions for incompressible flows Journal of Computational Physics. 291: 254-278. DOI: 10.1016/J.Jcp.2015.03.012 |
0.334 |
|
| 2015 |
Shen J, Yang X, Yu H. Efficient energy stable numerical schemes for a phase field moving contact line model Journal of Computational Physics. 284: 617-630. DOI: 10.1016/J.Jcp.2014.12.046 |
0.397 |
|
| 2015 |
Li W, Luo L, Shen J. Accurate solution and approximations of the linearized BGK equation for steady Couette flow Computers & Fluids. 111: 18-32. DOI: 10.1016/J.Compfluid.2014.12.018 |
0.351 |
|
| 2015 |
An J, Shen J. Spectral approximation to a transmission eigenvalue problem and its applications to an inverse problem Computers & Mathematics With Applications. 69: 1132-1143. DOI: 10.1016/J.Camwa.2015.03.002 |
0.353 |
|
| 2015 |
Hu L, Ma L, Shen J. Efficient Spectral-Galerkin Method and Analysis for Elliptic PDEs with Non-local Boundary Conditions Journal of Scientific Computing. 1-21. DOI: 10.1007/S10915-015-0145-X |
0.356 |
|
| 2015 |
Liu C, Shen J, Yang X. Decoupled Energy Stable Schemes for a Phase-Field Model of Two-Phase Incompressible Flows with Variable Density Journal of Scientific Computing. 62: 601-622. DOI: 10.1007/S10915-014-9867-4 |
0.343 |
|
| 2015 |
Liu F, Shen J. Stabilized semi-implicit spectral deferred correction methods for Allen-Cahn and Cahn-Hilliard equations Mathematical Methods in the Applied Sciences. 38: 4564-4575. DOI: 10.1002/Mma.2869 |
0.408 |
|
| 2014 |
An J, Shen J. Efficient Spectral Methods for Transmission Eigenvalues and Estimation of the Index of Refraction The Journal of Men's Studies. DOI: 10.4208/Jms.V47N1.14.01 |
0.318 |
|
| 2014 |
Shen J, Yang X. Decoupled Energy Stable Schemes for Phase-Field Models of Two-Phase Complex Fluids Siam Journal On Scientific Computing. 36. DOI: 10.1137/130921593 |
0.388 |
|
| 2014 |
Cao Y, Shen J, Randall C, Chen LQ. Effect of ferroelectric polarization on ionic transport and resistance degradation in BaTiO3by phase-field approach Journal of the American Ceramic Society. 97: 3568-3575. DOI: 10.1111/Jace.13162 |
0.301 |
|
| 2014 |
Chen L, Shen J, Xu C, Luo L. Parallel spectral-element direction splitting method for incompressible Navier-Stokes equations Applied Numerical Mathematics. 84: 66-79. DOI: 10.1016/J.Apnum.2014.05.010 |
0.412 |
|
| 2013 |
Shen J, Yang X, Wang Q. Mass and Volume Conservation in Phase Field Models for Binary Fluids Communications in Computational Physics. 13: 1045-1065. DOI: 10.4208/Cicp.300711.160212A |
0.319 |
|
| 2013 |
Collins C, Shen J, Wise SM. An efficient, energy stable scheme for the Cahn-Hilliard-Brinkman system Communications in Computational Physics. 13: 929-957. DOI: 10.4208/Cicp.171211.130412A |
0.418 |
|
| 2013 |
Chen F, Shen J. Efficient Energy Stable Schemes with Spectral Discretization in Space for Anisotropic Cahn-Hilliard Systems Communications in Computational Physics. 13: 1189-1208. DOI: 10.4208/Cicp.101111.110512A |
0.397 |
|
| 2013 |
Chen F, Shen J. A GPU parallelized spectral method for elliptic equations in rectangular domains Journal of Computational Physics. 250: 555-564. DOI: 10.1016/J.Jcp.2013.05.031 |
0.356 |
|
| 2013 |
An J, Shen J. A spectral-element method for transmission eigenvalue problems Journal of Scientific Computing. 57: 670-688. DOI: 10.1007/S10915-013-9720-1 |
0.354 |
|
| 2013 |
Shen J, Wang Z. Error Analysis of the Strang Time-Splitting Laguerre-Hermite/Hermite Collocation Methods for the Gross-Pitaevskii Equation Foundations of Computational Mathematics. 13: 99-137. DOI: 10.1007/S10208-012-9124-X |
0.38 |
|
| 2012 |
Chen L, Shen J, Xu C. A Unstructured Nodal Spectral-Element Method for the Navier-Stokes Equations Communications in Computational Physics. 12: 315-336. DOI: 10.4208/Cicp.070111.140711A |
0.396 |
|
| 2012 |
Shen J, Yu H. Efficient Spectral Sparse Grid Methods and Applications to High-Dimensional Elliptic Equations II. Unbounded Domains Siam Journal On Scientific Computing. 34: 1141-1164. DOI: 10.1137/110834950 |
0.398 |
|
| 2012 |
Shen J, Wang C, Wang X, Wise SM. Second-order convex splitting schemes for gradient flows with Ehrlich-Schwoebel type energy: Application to thin film epitaxy Siam Journal On Numerical Analysis. 50: 105-125. DOI: 10.1137/110822839 |
0.359 |
|
| 2012 |
Shen J, Yu H. On the Approximation of the Fokker–Planck Equation of the Finitely Extensible Nonlinear Elastic Dumbbell Model I: A New Weighted Formulation and an Optimal Spectral-Galerkin Algorithm in Two Dimensions Siam Journal On Numerical Analysis. 50: 1136-1161. DOI: 10.1137/100795929 |
0.382 |
|
| 2012 |
Dong S, Shen J. A time-stepping scheme involving constant coefficient matrices for phase-field simulations of two-phase incompressible flows with large density ratios Journal of Computational Physics. 231: 5788-5804. DOI: 10.1016/J.Jcp.2012.04.041 |
0.382 |
|
| 2012 |
Chen F, Shen J. Efficient spectral-Galerkin methods for systems of coupled second-order equations and their applications Journal of Computational Physics. 231: 5016-5028. DOI: 10.1016/J.Jcp.2012.03.001 |
0.366 |
|
| 2012 |
He Y, Nicholls DP, Shen J. An efficient and stable spectral method for electromagnetic scattering from a layered periodic structure Journal of Computational Physics. 231: 3007-3022. DOI: 10.1016/J.Jcp.2011.10.033 |
0.334 |
|
| 2012 |
Chen F, Shen J, Yu H. A New Spectral Element Method for Pricing European Options Under the Black–Scholes and Merton Jump Diffusion Models Journal of Scientific Computing. 52: 499-518. DOI: 10.1007/S10915-011-9556-5 |
0.376 |
|
| 2011 |
Shen J, Thibos LN. Peripheral aberrations and image quality for contact lens correction. Optometry and Vision Science : Official Publication of the American Academy of Optometry. 88: 1196-205. PMID 21873925 DOI: 10.1097/Opx.0B013E3182279Fd5 |
0.529 |
|
| 2011 |
Chen L, Shen J, Xu C, 许传炬. A Triangular Spectral Method for the Stokes Equations Numerical Mathematics-Theory Methods and Applications. 4: 158-179. DOI: 10.4208/Nmtma.2011.42S.3 |
0.401 |
|
| 2011 |
Chen L, Shen J, Xu C. Spectral Direction Splitting Schemes for the Incompressible Navier-Stokes Equations East Asian Journal On Applied Mathematics. 1: 215-234. DOI: 10.4208/Eajam.190411.240511A |
0.394 |
|
| 2011 |
Shetty DA, Shen J, Chandy AJ, Frankel SH. A pressure-correction scheme for rotational Navier-Stokes equations and its application to rotating turbulent flows Communications in Computational Physics. 9: 740-755. DOI: 10.4208/Cicp.301109.040310S |
0.354 |
|
| 2010 |
Shen J, Clark CA, Soni PS, Thibos LN. Peripheral refraction with and without contact lens correction. Optometry and Vision Science : Official Publication of the American Academy of Optometry. 87: 642-55. PMID 20601913 DOI: 10.1097/Opx.0B013E3181Ea16Ea |
0.506 |
|
| 2010 |
Kwan Y, Park J, Shen J. A Mathematical And Numerical Study Of Incompressible Flows With A Surfactant Monolayer Discrete and Continuous Dynamical Systems. 28: 181-197. DOI: 10.3934/Dcds.2010.28.181 |
0.341 |
|
| 2010 |
Shen J, Yang X. Numerical approximations of Allen-Cahn and Cahn-Hilliard equations Discrete and Continuous Dynamical Systems. 28: 1669-1691. DOI: 10.3934/Dcds.2010.28.1669 |
0.404 |
|
| 2010 |
Shen J, Yu H. Efficient Spectral Sparse Grid Methods and Applications to High-Dimensional Elliptic Problems Siam Journal On Scientific Computing. 32: 3228-3250. DOI: 10.1137/100787842 |
0.378 |
|
| 2010 |
Shen J, Wang L. Sparse Spectral Approximations of High-Dimensional Problems Based on Hyperbolic Cross Siam Journal On Numerical Analysis. 48: 1087-1109. DOI: 10.1137/090765547 |
0.332 |
|
| 2010 |
Shen J, Yang X. A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities Siam Journal On Scientific Computing. 32: 1159-1179. DOI: 10.1137/09075860X |
0.35 |
|
| 2010 |
Dong S, Shen J. An unconditionally stable rotational velocity-correction scheme for incompressible flows Journal of Computational Physics. 229: 7013-7029. DOI: 10.1016/J.Jcp.2010.05.037 |
0.39 |
|
| 2010 |
Shen J, Yang X. Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows Chinese Annals of Mathematics, Series B. 31: 743-758. DOI: 10.1007/S11401-010-0599-Y |
0.328 |
|
| 2010 |
Zhuang Q, Shen J, Xu C. A coupled legendre-laguerre spectral-element method for the navier-stokes equations in unbounded domains Journal of Scientific Computing. 42: 1-22. DOI: 10.1007/S10915-009-9313-1 |
0.39 |
|
| 2009 |
Shen J, Thibos LN. Measuring ocular aberrations and image quality in peripheral vision with a clinical wavefront aberrometer. Clinical & Experimental Optometry : Journal of the Australian Optometrical Association. 92: 212-22. PMID 19462503 DOI: 10.1111/J.1444-0938.2009.00376.X |
0.515 |
|
| 2009 |
Nicholls DP, Shen J. A Rigorous Numerical Analysis of the Transformed Field Expansion Method Siam Journal On Numerical Analysis. 47: 2708-2734. DOI: 10.1137/080741914 |
0.409 |
|
| 2009 |
Bao W, Li H, Shen J. A Generalized-Laguerre-Fourier-Hermite Pseudospectral Method for Computing the Dynamics of Rotating Bose-Einstein Condensates Siam Journal On Scientific Computing. 31: 3685-3711. DOI: 10.1137/080739811 |
0.353 |
|
| 2009 |
Shen J, Wang L, Li H. A Triangular Spectral Element Method Using Fully Tensorial Rational Basis Functions Siam Journal On Numerical Analysis. 47: 1619-1650. DOI: 10.1137/070702023 |
0.34 |
|
| 2009 |
Li H, Shen J. Optimal Error Estimates In Jacobi-Weighted Sobolev Spaces For Polynomial Approximations On The Triangle Mathematics of Computation. 79: 1621-1646. DOI: 10.1090/S0025-5718-09-02308-4 |
0.35 |
|
| 2009 |
Shen J, Yang X. An efficient moving mesh spectral method for the phase-field model of two-phase flows Journal of Computational Physics. 228: 2978-2992. DOI: 10.1016/J.Jcp.2009.01.009 |
0.344 |
|
| 2009 |
Xiu D, Shen J. Efficient stochastic Galerkin methods for random diffusion equations Journal of Computational Physics. 228: 266-281. DOI: 10.1016/J.Jcp.2008.09.008 |
0.394 |
|
| 2009 |
Guo B, Shen J, Wang L. Generalized Jacobi polynomials/functions and their applications Applied Numerical Mathematics. 59: 1011-1028. DOI: 10.1016/J.Apnum.2008.04.003 |
0.337 |
|
| 2008 |
Azaiez M, Shen J, Xu C, Zhuang Q. A Laguerre-Legendre Spectral Method for the Stokes Problem in a Semi-Infinite Channel Siam Journal On Numerical Analysis. 47: 271-292. DOI: 10.1137/070698269 |
0.343 |
|
| 2008 |
Ma J, Shen J, Zhao Y. On Numerical Approximations of Forward-Backward Stochastic Differential Equations Siam Journal On Numerical Analysis. 46: 2636-2661. DOI: 10.1137/06067393X |
0.402 |
|
| 2008 |
Shen J, Wang L. On spectral approximations in elliptical geometries using Mathieu functions Mathematics of Computation. 78: 815-844. DOI: 10.1090/S0025-5718-08-02197-2 |
0.371 |
|
| 2008 |
Guermond JL, Shen J, Yang X. Error analysis of fully discrete velocity-correction methods for incompressible flows Mathematics of Computation. 77: 1387-1405. DOI: 10.1090/S0025-5718-08-02109-1 |
0.372 |
|
| 2008 |
Bao W, Shen J. A generalized-Laguerre-Hermite pseudospectral method for computing symmetric and central vortex states in Bose-Einstein condensates Journal of Computational Physics. 227: 9778-9793. DOI: 10.1016/J.Jcp.2008.07.017 |
0.321 |
|
| 2008 |
Yuan J, Shen J, Wu J. A Dual-Petrov-Galerkin Method for the Kawahara-Type Equations Journal of Scientific Computing. 34: 48-63. DOI: 10.1007/S10915-007-9158-4 |
0.414 |
|
| 2008 |
Guo B, Shen J. Irrational approximations and their applications to partial differential equations in exterior domains Advances in Computational Mathematics. 28: 237-267. DOI: 10.1007/S10444-006-9020-5 |
0.366 |
|
| 2007 |
Shen J, Yang X. Error estimates for finite element approximations of consistent splitting schemes for incompressible flows Discrete and Continuous Dynamical Systems-Series B. 8: 663-676. DOI: 10.3934/Dcdsb.2007.8.663 |
0.39 |
|
| 2007 |
Shen J, Wang L. Analysis of a Spectral-Galerkin Approximation to the Helmholtz Equation in Exterior Domains Siam Journal On Numerical Analysis. 45: 1954-1978. DOI: 10.1137/060665737 |
0.375 |
|
| 2007 |
Shen J, Wu J, Yuan J. Eventual periodicity for the KdV equation on a half-line Physica D: Nonlinear Phenomena. 227: 105-119. DOI: 10.1016/J.Physd.2007.02.003 |
0.335 |
|
| 2007 |
Kwan Y, Shen J. An efficient direct parallel spectral-element solver for separable elliptic problems Journal of Computational Physics. 225: 1721-1735. DOI: 10.1016/J.Jcp.2007.02.013 |
0.332 |
|
| 2007 |
Fang Q, Nicholls DP, Shen J. A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering Journal of Computational Physics. 224: 1145-1169. DOI: 10.1016/J.Jcp.2006.11.018 |
0.343 |
|
| 2007 |
Pyo J, Shen J. Gauge-Uzawa methods for incompressible flows with variable density Journal of Computational Physics. 221: 181-197. DOI: 10.1016/J.Jcp.2006.06.013 |
0.342 |
|
| 2007 |
Shen J, Wang L. Legendre and Chebyshev dual-Petrov–Galerkin methods for Hyperbolic equations Computer Methods in Applied Mechanics and Engineering. 196: 3785-3797. DOI: 10.1016/J.Cma.2006.10.031 |
0.387 |
|
| 2006 |
Shen J, Wang L. Laguerre And Composite Legendre-Laguerre Dual-Petrov-Galerkin Methods For Third-Order Equations Discrete and Continuous Dynamical Systems-Series B. 6: 1381-1402. DOI: 10.3934/Dcdsb.2006.6.1381 |
0.41 |
|
| 2006 |
Nicholls DP, Shen J. A Stable High-Order Method for Two-Dimensional Bounded-Obstacle Scattering Siam Journal On Scientific Computing. 28: 1398-1419. DOI: 10.1137/050632920 |
0.408 |
|
| 2006 |
Yang X, Feng JJ, Liu C, Shen J. Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method Journal of Computational Physics. 218: 417-428. DOI: 10.1016/J.Jcp.2006.02.021 |
0.364 |
|
| 2006 |
Guermond JL, Minev P, Shen J. An overview of projection methods for incompressible flows Computer Methods in Applied Mechanics and Engineering. 195: 6011-6045. DOI: 10.1016/J.Cma.2005.10.010 |
0.354 |
|
| 2006 |
Demkowicz L, Shen J. A few new (?) facts about infinite elements Computer Methods in Applied Mechanics and Engineering. 195: 3572-3590. DOI: 10.1016/J.Cma.2005.04.013 |
0.321 |
|
| 2006 |
Guo B, Shen J, Wang L. Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials Journal of Scientific Computing. 27: 305-322. DOI: 10.1007/S10915-005-9055-7 |
0.363 |
|
| 2006 |
Sani RL, Shen J, Pironneau O, Gresho PM. Pressure boundary condition for the time‐dependent incompressible Navier–Stokes equations International Journal For Numerical Methods in Fluids. 50: 673-682. DOI: 10.1002/Fld.1062 |
0.389 |
|
| 2005 |
Pyo J, Shen J. Normal Mode Analysis Of Second-Order Projection Methods For Incompressible Flows Discrete and Continuous Dynamical Systems-Series B. 1: 179-181. DOI: 10.3934/Dcdsb.2005.5.817 |
0.332 |
|
| 2005 |
Shen J, Wang L. Spectral Approximation of the Helmholtz Equation with High Wave Numbers Siam Journal On Numerical Analysis. 43: 623-644. DOI: 10.1137/040607332 |
0.383 |
|
| 2005 |
Guermond JL, Minev P, Shen J. Error analysis of pressure-correction schemes for the time-dependent stokes equations with open boundary conditions Siam Journal On Numerical Analysis. 43: 239-258. DOI: 10.1137/040604418 |
0.37 |
|
| 2005 |
Bao W, Shen J. A fourth-order time-splitting laguerre-hermite pseudospectral method for bose-einstein condensates Siam Journal On Scientific Computing. 26: 2010-2028. DOI: 10.1137/030601211 |
0.353 |
|
| 2004 |
Yue P, Feng JJ, Liu C, Shen J. A diffuse-interface method for simulating two-phase flows of complex fluids Journal of Fluid Mechanics. 515: 293-317. DOI: 10.1017/S0022112004000370 |
0.336 |
|
| 2003 |
Shen J. A New Dual-Petrov-Galerkin Method for Third and Higher Odd-Order Differential Equations: Application to the KDV Equation Siam Journal On Numerical Analysis. 41: 1595-1619. DOI: 10.1137/S0036142902410271 |
0.41 |
|
| 2003 |
Guermond JL, Shen J. Velocity-correction projection methods for incompressible flows Siam Journal On Numerical Analysis. 41: 112-134. DOI: 10.1137/S0036142901395400 |
0.364 |
|
| 2003 |
Guo B, Shen J, Xu C. Spectral and Pseudospectral Approximations Using Hermite Functions: Application to the Dirac Equation Advances in Computational Mathematics. 19: 35-55. DOI: 10.1023/A:1022892132249 |
0.4 |
|
| 2003 |
Liu C, Shen J. A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method Physica D: Nonlinear Phenomena. 179: 211-228. DOI: 10.1016/S0167-2789(03)00030-7 |
0.376 |
|
| 2003 |
Guermond JL, Shen J. A new class of truly consistent splitting schemes for incompressible flows Journal of Computational Physics. 192: 262-276. DOI: 10.1016/J.Jcp.2003.07.009 |
0.358 |
|
| 2002 |
Lopez JM, Marques F, Shen J. An Efficient Spectral-Projection Method for the Navier-Stokes Equations in Cylindrical Geometries Journal of Computational Physics. 176: 384-401. DOI: 10.1006/Jcph.2002.6993 |
0.394 |
|
| 2002 |
Guo B, Shen J, Wang Z. Chebyshev rational spectral and pseudospectral methods on a semi‐infinite interval International Journal For Numerical Methods in Engineering. 53: 65-84. DOI: 10.1002/Nme.392 |
0.363 |
|
| 2001 |
Guo B, Shen J. On spectral approximations using modified Legendre rational functions: Application to the Korteweg-de Vries equation on the half line Indiana University Mathematics Journal. 50: 181-204. DOI: 10.1512/Iumj.2001.50.2090 |
0.325 |
|
| 2001 |
Du Q, Guo B, Shen J. Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals Siam Journal On Numerical Analysis. 39: 735-762. DOI: 10.1137/S0036142900373737 |
0.378 |
|
| 2001 |
Zhu J, Chen L, Shen J. Morphological evolution during phase separation and coarsening with strong inhomogeneous elasticity Modelling and Simulation in Materials Science and Engineering. 9: 499-511. DOI: 10.1088/0965-0393/9/6/303 |
0.315 |
|
| 2001 |
Zhu J, Chen L, Shen J, Tikare V. Microstructure dependence of diffusional transport Computational Materials Science. 20: 37-47. DOI: 10.1016/S0927-0256(00)00123-3 |
0.329 |
|
| 2001 |
Zhu J, Chen L, Shen J, Tikare V. Computing the effective diffusivity using a spectral method Materials Science and Engineering: A. 311: 135-141. DOI: 10.1016/S0921-5093(01)00961-3 |
0.336 |
|
| 2001 |
Guermond JL, Shen J. New results on several projection methods Comptes Rendus De L'Academie Des Sciences - Series I: Mathematics. 333: 1111-1116. DOI: 10.1016/S0764-4442(01)02157-7 |
0.331 |
|
| 2000 |
Shen J. Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions Siam Journal On Numerical Analysis. 38: 1113-1133. DOI: 10.1137/S0036142999362936 |
0.36 |
|
| 2000 |
Guo B, Shen J, Wang Z. A Rational Approximation and Its Applications to Differential Equations on the Half Line Journal of Scientific Computing. 15: 117-147. DOI: 10.1023/A:1007698525506 |
0.403 |
|
| 2000 |
Lopez J, Marques F, Shen J. Endwall effects in a periodically forced centrifugally unstable flow Fluid Dynamics Research. 27: 91-108. DOI: 10.1016/S0169-5983(99)00043-X |
0.308 |
|
| 2000 |
Shen J, Wang F, Xu J. A finite element multigrid preconditioner for Chebyshev—collocation Applied Numerical Mathematics. 33: 471-477. DOI: 10.1016/S0168-9274(99)00114-2 |
0.347 |
|
| 2000 |
Guo B, Shen J. Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval Numerische Mathematik. 86: 635-654. DOI: 10.1007/Pl00005413 |
0.394 |
|
| 1999 |
Zhu J, Chen LQ, Shen J, Tikare V. Coarsening kinetics from a variable-mobility Cahn-Hilliard equation: application of a semi-implicit Fourier spectral method. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 60: 3564-72. PMID 11970189 DOI: 10.1103/Physreve.60.3564 |
0.386 |
|
| 1999 |
Shen J. Efficient Spectral-Galerkin Methods IV. Spherical Geometries Siam Journal On Scientific Computing. 20: 1438-1455. DOI: 10.1137/S1064827597317028 |
0.356 |
|
| 1999 |
Shen J, Wang S. A Fast and Accurate Numerical Scheme for the Primitive Equations of the Atmosphere Siam Journal On Numerical Analysis. 36: 719-737. DOI: 10.1137/S0036142997324770 |
0.406 |
|
| 1998 |
Chen L, Shen J. Applications of semi-implicit Fourier-spectral method to phase field equations Computer Physics Communications. 108: 147-158. DOI: 10.1016/S0010-4655(97)00115-X |
0.438 |
|
| 1998 |
Lopez JM, Shen J. An Efficient Spectral-Projection Method for the Navier–Stokes Equations in Cylindrical Geometries: I. Axisymmetric Cases Journal of Computational Physics. 139: 308-326. DOI: 10.1006/Jcph.1997.5872 |
0.39 |
|
| 1997 |
Shen J. Efficient Spectral-Galerkin Methods III: Polar and Cylindrical Geometries Siam Journal On Scientific Computing. 18: 1583-1604. DOI: 10.1137/S1064827595295301 |
0.374 |
|
| 1996 |
Shen J. On error estimates of the projection methods for the Navier-Stokes equations: second-order schemes Mathematics of Computation. 65: 1039-1065. DOI: 10.1090/S0025-5718-96-00750-8 |
0.393 |
|
| 1996 |
Shen J. On a new pseudocompressibility method for the incompressible Navier-Stokes equations Applied Numerical Mathematics. 21: 71-90. DOI: 10.1016/0168-9274(95)00132-8 |
0.408 |
|
| 1996 |
Liu WB, Shen J. A new efficient spectral Galerkin method for singular perturbation problems Journal of Scientific Computing. 11: 411-437. DOI: 10.1007/Bf02088955 |
0.384 |
|
| 1995 |
Shen J. Efficient spectral-Galerkin method II.: direct solvers of second- and fourth-order equations using Chebyshev polynomials Siam Journal On Scientific Computing. 16: 74-87. DOI: 10.1137/0916006 |
0.401 |
|
| 1995 |
Shen J. On error estimates of the penalty method for unsteady Navier-Stokes equations Siam Journal On Numerical Analysis. 32: 386-403. DOI: 10.1137/0732016 |
0.369 |
|
| 1995 |
Shen J, Temam R. Nonlinear Galerkin method using Chebyshev and Legendre polynomials I.: the one-dimensional case Siam Journal On Numerical Analysis. 32: 215-234. DOI: 10.1137/0732007 |
0.361 |
|
| 1994 |
Shen J. Efficient spectral-Galerkin method I: direct solvers of second-and fourth-order equations using Legendre polynomials Siam Journal On Scientific Computing. 15: 1489-1505. DOI: 10.1137/0915089 |
0.319 |
|
| 1993 |
Shen J. A remark on the projection‐3 method International Journal For Numerical Methods in Fluids. 16: 249-253. DOI: 10.1002/Fld.1650160308 |
0.399 |
|
| 1992 |
Shen J. On error estimates of projection methods for Navier-Stokes equations: first-order schemes Siam Journal On Numerical Analysis. 29: 57-77. DOI: 10.1137/0729004 |
0.383 |
|
| 1992 |
Shen J. Projection methods for time-dependent Navier-Stokes equations Applied Mathematics Letters. 5: 35-37. DOI: 10.1016/0893-9659(92)90131-R |
0.384 |
|
| 1992 |
Shen J. On error estimates of some higher order projection and penalty-projection methods for Navier-Stokes equations Numerische Mathematik. 62: 49-73. DOI: 10.1007/Bf01396220 |
0.365 |
|
| 1991 |
Shen J. Hopf bifurcation of the unsteady regularized driven cavity flow Journal of Computational Physics. 95: 228-245. DOI: 10.1016/0021-9991(91)90261-I |
0.308 |
|
| 1990 |
Shen J. Long Time Stability and Convergence for Fully Discrete Nonlinear Galerkin Methods Applicable Analysis. 38: 201-229. DOI: 10.1080/00036819008839963 |
0.337 |
|
| 1990 |
Shen J. Numerical simulation of the regularized driven cavity flows at high Reynolds numbers Computer Methods in Applied Mechanics and Engineering. 80: 273-280. DOI: 10.1016/0045-7825(90)90030-P |
0.358 |
|
| 1989 |
Shen J. Convergence of approximate attractors for a fully discrete system for Reaction-Diffusion Equations Numerical Functional Analysis and Optimization. 10: 1213-1234. DOI: 10.1080/01630568908816354 |
0.368 |
|
| 1989 |
Shen J. Dynamics of regularized cavity flow at high Reynolds numbers Applied Mathematics Letters. 2: 381-384. DOI: 10.1016/0893-9659(89)90093-1 |
0.319 |
|
| 1988 |
Michaux B, Rakotoson JM, Shen J. On the existence and regularity of solutions of a quasilinear mixed equation of Leray-Lions type Acta Applicandae Mathematicae. 12: 287-316. DOI: 10.1007/Bf00046884 |
0.344 |
|
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