Search Results

• Uniform Convergence of a Coupled Method for Convection-Diffusion Problems in 2-D Shishkin Mesh

  Ziqing Xie, Peng Zhu, Shuzi Zhou

  2013-10-01

  32860 2595 pp. 845-859

• Error Analysis of a Finite Difference Scheme for the Epitaxial Thin Film Model with Slope Selection with an Improved Convergence Constant

  Zhonghua Qiao, Cheng Wang, Steven M. Wise, Zhengru Zhang

  2016-05-08

  32240 2733 pp. 283-305

• Optimal Uniform Convergence Analysis for a Two-Dimensional Parabolic Problem with Two Small Parameters

  Jichun Li

  2005-04-03

  32665 3841 pp. 107-126

• Cell Centered Finite Volume Methods Using Taylor Series Expansion Scheme Without Fictitious Domains

  G.-M. Gie, R. Temam

  2018-08-15

  32165 3821 pp. 1-29

• Convergence Analysis of a Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Logarithmic Potential

  Amanda E. Diegel, Cheng Wang, Steven M. Wise

  2025-04-29

  DOI:10.4208/ijnam2025-1021

  7284 581 pp. 483-509

• Numerical Solutions of Nonlinear Parabolic Problems by Monotone Jacobi and Gauss-Seidel Methods

  I. Boglaev

  2011-08-01

  31342 2610 pp. 599-614

• A Uniformly Convergent Method on Arbitrary Meshes for a Semilinear Convection-Diffusion Problem with Discontinuous Data

  Igor Boglaev, Sophie Pack

  2008-05-01

  32612 3674 pp. 24-39

• Second Order Parameter-Uniform Convergence for a Finite Difference Method for a Singularly Perturbed Linear Parabolic System

  V. Franklin, M. Paramasivam, J. J. H. Miller, S. Valarmathi

  2018-08-15

  35781 4186 pp. 178-202

• Parameter-Uniform Convergence for a Finite Difference Method for a Singularly Perturbed Linear Reaction-Diffusion System with Discontinuous Source Terms

  M. paramasivam, J. J. H. Miller, S. Valarmathi

  2021-10-20

  34245 2581 pp. 385-399

• On a Numerical Technique to Study Difference Schemes for Singularly Perturbed Parabolic Reaction-Diffusion Equations

  G. Shishkin, L. Shishkina, J. L. Gracia, C. Clavero

  2021-10-20

  34528 2541 pp. 412-426

• Second Order Uniform Approximations for the Solution of Time Dependent Singularly Perturbed Reaction-Diffusion Systems

  Carmelo Clavero, Jose Luis Gracia, Francisco Lisbona

  2010-07-01

  32981 2571 pp. 428-443

• Grid Approximation of a Singularly Perturbed Parabolic Equation with Degenerating Convective Term and Discontinuous Right-Hand Side

  C. Clavero, J. L. Gracia, G. I. Shishkin, L. P. Shishkina

  2013-10-01

  33927 2719 pp. 795-814

• An Anisotropic Nonconforming Element for Fourth Order Elliptic Singular Perturbation Problem

  S. Chen, M. Liu & Z. Qiao

  2010-07-01

  31408 2617 pp. 766-784

• Comparative Studies on Mesh-Free Deep Neural Network Approach Versus Finite Element Method for Solving Coupled Nonlinear Hyperbolic/Wave Equations

  Xingwen Zhu, Mingyan He, Pengtao Sun

  2022-08-22

  297415 2852 pp. 603-629

• On the Singularly Perturbed Semilinear Reaction-Diffusion Problem and its Numerical Solution

  Relja Vulanovic, Ljiljana Teofanov

  2018-08-15

  33447 4139 pp. 41-57

• A Parameter-Uniform Finite Difference Method for Singularly Perturbed Linear Dynamical Systems

  S. Valarmathi, John J. H. Miller

  2010-07-01

  32748 2591 pp. 535-548

• A Uniform Numerical Method for a Boundary-Shock Problem

  R. Vulanović

  2010-07-01

  32954 2592 pp. 567-579

• Modeling, Analysis and Discretization of Stochastic Logistic Equations

  Henri Schurz

  2007-04-01

  30026 2735 pp. 178-197

• Two Decoupled and Linearized Block-Centered Finite Difference Methods for the Nonlinear Symmetric Regularized Long Wave Equation

  Jie Xu, Shusen Xie, Hongfei Fu

  2024-04-07

  DOI:10.4208/ijnam2024-1010

  21001 1753 pp. 244-267

• The Weighted and Shifted Two-Step BDF Method for Allen-Cahn Equation on Variable Grids

  Minghua Chen, Fan Yu, Qingdong Zhang

  2025-05-26

  DOI:10.4208/ijnam2025-1029

  7969 669 pp. 671-693

• A Uniformly Optimal-Order Estimate for Bilinear Finite Element Method for Transient Advection-Diffusion Equations

  Qun Lin, Kaixin Wang, Hong Wang, Xiabo Yin

  2012-09-01

  33516 3855 pp. 73-85

• FEM-Analysis on Graded Meshes for Turning Point Problems Exhibiting an Interior Layer

  Simon Becher

  2018-11-22

  33707 2745 pp. 499-518

• An Asymptotic Expansion-Based Deep Neural Network for Solving Singularly Perturbed Problems with Exponential Boundary Layers

  Shuiqian Xu, Jiangxing Wang, Yiduo Zhang, Xiaofeng Yang

  2025-12-28

  DOI:10.4208/ijnam2026-1008

  1223 225 pp. 163-183

• The Immersed Finite Volume Element Method for Some Interface Problems with Nonhomogeneous Jump Conditions

  Ling Zhu, Zhiyue Zhang, Zhilin Li

  2016-05-03

  31843 2658 pp. 368-382

• Numerical Inversion Schemes for Magnetization Using Aeromagnetic Data

  Yile Zhang, Yau Shu Wong, Jian Deng, Sha Lei, Julien Lambert

  2015-12-01

  33669 2726 pp. 684-703

• Local Error Estimates of the LDG Method for 1-D Singularly Perturbed Problems

  Huiqing Zhu, Zhimin Zhang

  2013-10-01

  32347 2690 pp. 350-373

• An Error Estimate for MMOC-MFEM Based on Convolution for Porous Media Flow

  Aijie Cheng, Yongqiang Ren, Kaihua Xi

  2012-09-01

  33070 3934 pp. 149-168