Search Results

• Optimal Point-Wise Error Estimate of Two Second-Order Accurate Finite Difference Schemes for the Heat Equation with Concentrated Capacity

  Leilei Shi, Tingchun Wang, Xuanxuan Zhou

  2026-02-15

  DOI:10.4208/jcm.2409-m2024-0044

  2549 199 pp. 61-83

• The Unconditional Convergent Difference Methods with Intrinsic Parallelism for Quasilinear Parabolic Systems with Two Dimensions

  LJ Shen, GW Yuan

  2003-02-02

  33565 3875 pp. 41-52

• High Order Compact Finite Difference Schemes for the Helmholtz Equation with Discontinuous Coefficients

  Xiufang Feng, Zhilin Li, Zhonghua Qiao

  2018-08-22

  DOI:10.4208/jcm.1010-m3204

  36508 4431 pp. 324-340 Open Access

• Finite Difference Method with Nonuniform Meshes for Quasilinear Parabolic Systems

  Yulin Zhou

  2021-07-01

  32448 3635 pp. 289-310

• On the Stability of Finite-Difference Schemes of Higher-Order Approximate One-Way Wave Equations

  Yingxing Wang, Guan-Quan Zhang

  1988-06-01

  33577 3580 pp. 97-110

• Convergence Rate for Difference Schemes for Polyhedral Nonlinear Parabolic Equations

  Adam M. Oberman

  2018-08-22

  DOI:10.4208/jcm.1003-m0013

  34211 3724 pp. 474-488

• First-Order and Second-Order, Chaos-Free, Finite Difference Schemes for Fisher Equation

  Geng Sun, Hua-Mo Wu, Li-Er Wang

  2001-10-02

  34364 3673 pp. 519-530

• How to Prove the Discrete Reliability for Nonconforming Finite Element Methods

  Carsten Carstensen, Sophie Puttkammer

  2020-02-06

  DOI:10.4208/jcm.1908-m2018-0174

  44453 4579 pp. 142-175

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

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

  1996-06-02

  33211 3447 pp. 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

  33640 3372 pp. 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

  35386 4112 pp. 71-97

• Block-Centered Finite Difference Methods for Non-Fickian Flow in Porous Media

  Xiaoli Li, Hongxing Rui

  2018-09-17

  DOI:10.4208/jcm.1701-m2016-0628

  40845 2963 pp. 492-516

• 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

  DOI:10.4208/jcm.2504-m2024-0106

  649 56 pp. 700–721

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

  Dingwen Deng, Zhijun Li

  2024-04-08

  DOI:10.4208/jcm.2211-m2021-0293

  19392 1967 pp. 814-850

• One-Parameter Finite Difference Methods and Their Accelerated Schemes for Space-Fractional Sine-Gordon Equations with Distributed Delay

  Tao Sun, Chengjian Zhang, Haiwei Sun

  2024-04-08

  DOI:10.4208/jcm.2206-m2021-0240

  19116 1933 pp. 705-734

• A New Boundary Condition for Rate-Type Non-Newtonian Diffusive Models and the Stable MAC Scheme

  Kun Li, Youngju Lee, Christina Starkey

  2018-09-17

  DOI:10.4208/jcm.1703-m2015-0359

  39736 2911 pp. 605-626

• Compact Finite Difference Scheme for Some Sobolev Type Equations with Dirichlet Boundary Condition

  Lavanya V Salian, Rathan Samala, Rakesh Kumar

  2025-11-19

  DOI:10.4208/jcm.2509-m2024-0296

  215 155

• Fourth-Order Compact Schemes for Helmholtz Equations with Piecewise Wave Numbers in the Polar Coordinates

  Xiaolu Su, Xiufang Feng, Zhilin Li

  2018-08-22

  DOI:10.4208/jcm.1604-m2015-0290

  36328 2859 pp. 499-510

• 3D Hybrid Depth Migration and Four-Way Splitting Schemes

  Wen-sheng Zhang, Guan-quan Zhang

  2006-08-02

  31148 3468 pp. 463-474

• Symplectic Schemes for Quasilinear Wave Equations of Klein-Gordon and Sine-Gordon Type

  Xiao-Wu Lu

  2001-10-02

  34308 3675 pp. 475-488

• A New Kind of Schemes for the Operator Equations

  Qing-Min Yang

  1992-10-01

  33252 3964 pp. 21-28

• Discrete Maximum Principle and Convergence of Poisson Problem for the Finite Point Method

  Guixia Lv, Shunkai Sun, Longjun Shen

  2018-08-22

  DOI:10.4208/jcm.1605-m2015-0397

  36492 2983 pp. 245-264

• High Order Finite Difference/Spectral Methods to a Water Wave Model with Nonlocal Viscosity

  Mohammad Tanzil Hasan, Chuanju Xu

  2020-05-19

  DOI:10.4208/jcm.1902-m2017-0280

  39591 3074 pp. 580-605

• Anti-Diffusive Finite Difference WENO Methods for Shallow Water with Transport of Pollutant

  ZF Xu, CW Shu

  2006-06-02

  33673 3615 pp. 239-251

• Stability Analysis of Finite Element Methods for the Acoustic Wave Equation with Absorbing Boundary Conditions (Part I)

  Xiu-Min Shao, Zhi-Ling Lan

  1999-06-02

  32811 3556 pp. 293-306

• Mixed Finite Element Methods for Fractional Navier-Stokes Equations

  Xiaocui Li, Xu You

  2021-06-10

  DOI:10.4208/jcm.1911-m2018-0153

  42497 4421 pp. 130-146

• Convergence Rates of Moving Mesh Rannacher Methods for PDEs of Asian Options Pricing

  Jingtang Ma, Zhiqiang Zhou

  2018-08-22

  DOI:10.4208/jcm.1601-m2014-0217

  37949 2818 pp. 240-261