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• A Leap Frog Finite Difference Scheme for a Class of Nonlinear Schrödinger Equations of High Order

  Wen-Ping Zeng

  1999-04-02

  32427 3331 Pages:133-138

• A Compact Fourth-Order Finite Difference Scheme for the Improved Boussinesq Equation with Damping Terms

  Fuqiang Lu, Zhiyao Song, Zhuo Zhang

  2018-08-22

  35386 2765 Pages:462-478

• A Finite Difference Method for Two Dimensional Elliptic Interface Problems with Imperfect Contact

  Fujun Cao, Dongfang Yuan, Dongxu Jia, Guangwei Yuan

  2024-07-18

  23892 1668 Pages:1328-1355

• A Two-Grid Finite Element Approximation for Nonlinear Time Fractional Two-Term Mixed Sub-Diffusion and Diffusion Wave Equations

  Yanping Chen, Qiling Gu, Qingfeng Li, Yunqing Huang

  2022-11-08

  302278 3757 Pages:936-954

• Iterative Methods for the Forward-Backward Heat Equation

  Xiao-Liang Cheng & Jie Sun

  2005-08-02

  32432 3364 Pages:419-424

• Invariants-Preserving Du Fort-Frankel Schemes and Their Analyses for Nonlinear Schrödinger Equations with Wave Operator

  Dingwen Deng, Zhijun Li

  2024-04-08

  19089 1898 Pages:814-850

• Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime

  Gengen Zhang, Chunmei Su

  2023-12-01

  28003 2444 Pages:289-312

• Long-Time Behavior of Finite Difference Solutions of Three-Dimensional Nonlinear Schrödinger Equation with Weakly Damped

  Fayong Zhang

  2004-08-02

  32790 3303 Pages:593-604

• Stability Analysis for Maximum Principle Preserving Explicit Isotropic Schemes of the Allen-Cahn Equation

  Jyoti, Seokjun Ham, Soobin Kwak, Youngjin Hwang, Seungyoon Kang, Junseok Kim

  2025-06-06

  140 45

• A Fast High Order Method for Electromagnetic Scattering by Large Open Cavities

  Meiling Zhao, Zhonghua Qiao & Tao Tang

  2018-08-22

  35759 4365 Pages:287-304 Open-access

• On a Moving Mesh Method for Solving Partial Integro-Differential Equations

  Jingtang Ma, Yingjun Jiang & Kaili Xiang

  2021-07-01

  36342 3493 Pages:713-728

• A Finite Difference Scheme for Solving the Nonlinear Poisson-Boltzmann Equation Modeling Charged Spheres

  Zhong-Hua Qiao, Zhi-Lin Li & Tao Tang

  2006-06-02

  34354 4520 Pages:252-264 Open-access

• Dependence of Qualitative Behavior of the Numerical Solutions on the Ignition Temperature for a Combustion Model

  Xin-Ting Zhang & Lung-An Ying

  2005-08-02

  32542 3289 Pages:337-350

• Robustness of an Upwind Finite Difference Scheme for Semilinear Convection-Diffusion Problems with Boundary Turning Points

  Torsten Linß

  2003-08-02

  33233 3592 Pages:401-410

• The Global Dufort-Frankel Difference Approximation for Nonlinear Reaction-Diffusion Equations

  Bainian Lu, Guohua Wan, Bolin Guo

  1998-06-02

  32281 3450 Pages:275-288

• Discrete Approximations for Singularly Perturbed Boundary Value Problems with Parabolic Layers, III

  P. A. Farrell, P. W. Hemker & G. I. Shishkin

  1996-06-02

  32936 3380 Pages:273-290

• Discrete Approximations for Singularly Perturbed Boundary Value Problems with Parabolic Layers, II

  P. A. Farrell, P. W. Hemker & G. I. Shishkin

  1996-04-02

  33437 3329 Pages:183-194

• Discrete Approximations for Singularly Perturbed Boundary Value Problems with Parabolic Layers, I

  P. A. Farrell, P. W. Hemker & G. I. Shishkin

  1996-02-02

  35162 3992 Pages:71-97

• An Improved Two-Grid Technique for the Nonlinear Time-Fractional Parabolic Equation Based on the Block-Centered Finite Difference Method

  Xiaoli Li, Yanping Chen, Chuanjun Chen

  2022-10-06

  46377 3092 Pages:453-471

• A New Stabilized Finite Element Method for Solving Transient Navier-Stokes Equations with High Reynolds Number

  Chunmei Xie, Minfu Feng

  2020-03-24

  39841 2953 Pages:395-416

• A New Approach to Solve Systems of Linear Equations

  Luis Vázquez, José L. Vázquez-Poletti

  2001-08-02

  33080 3499 Pages:445-448

• Fourier Pseudospectral-Finite Difference Method for Incompressible Flow

  Benyu Guo, Yueshan Xiong

  2021-07-01

  33861 3353 Pages:312-329

• A Fourth Order Finite Difference Approximation to the Eigenvalues Approximation to the Eigenvalues of a Clamped Plate

  Lü Tao, Chin Bo Liem, Tis Min Shih

  2018-05-19

  32890 3596 Pages:267-271

• A Linear Implicit L1-Legendre Galerkin Chebyshev Collocation Method for Generalized Time- and Space-Fractional Burgers Equation

  Yubo Yang, Heping Ma

  2019-04-29

  42380 3053 Pages:629-644

• Finite Difference Solution of a Nonlinear Elliptic Equation

  Ben-Yu Guo

  1984-02-01

  35847 3313 Pages:272-278

• Rothe Method and Numerical Analysis for a Sub-Diffusion Equation with Clarke Subdifferential

  Yujie Li, Chuanju Xu

  2025-06-18

  120 42

• Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle

  Tao Tang, Jiang Yang

  2018-08-22

  42468 2984 Pages:451-461