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• Solving Singularly Perturbed Reaction Diffusion Problems Using Wavelet Optimized Finite Difference and Cubic Spline Adaptive Wavelet Scheme

  Vivek Kumar

  2008-05-01

  31515 2520 Pages:270-285

• 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

  1221 225 Pages:163-183

• Orthogonal Spline Collocation for Singularly Perturbed Reaction Diffusion Problems in One Dimension

  Pankaj Mishra, Kapil K. Sharma, Amiya K. Pani, Graeme Fairweather

  2019-02-21

  35364 2811 Pages:647-667

• Construction of Boundary Layer Elements for Singularly Perturbed Convection-Diffusion Equations and $L^2$-Stability Analysis

  C.-Y. Jung & R. Temam

  2008-05-01

  31376 3379 Pages:729-748

• Shishkin Meshes in the Numerical Solution of Singularly Perturbed Differential Equations

  Natalia Kopteva, Eugene O'Riordan

  2010-07-01

  33580 2783 Pages:393-415

• A Robust Finite Difference Method for a Singularly Perturbed Degenerate Parabolic Problems, Part I

  M. Viscor & M. Stynes

  2010-07-01

  33005 2602 Pages:549-566

• Analysis of an Alternating Direction Method Applied to Singularly Perturbed Reaction-Diffusion Problems

  Torsten Linss, Niall Madden

  2010-07-01

  33267 2573 Pages:507-519

• An $\varepsilon$-Uniform Finite Element Method for Singularly Perturbed Two-Point Boundary Value Problems

  Q. S. Song, G. Yin & Z. Zhang

  2007-04-01

  250 129 Pages:127-140

• Petrov-Galerkin Method with Local Green's Functions in Singularly Perturbed Convection-Diffusion Problems

  Owe Axelsson, Evgeny Glushkov, Natalia Clushkova

  2005-02-01

  31142 2656 Pages:127-146

• Finite Volume Approximation of Two-Dimensional Stiff Problems

  C.-Y. Jung, R. Temam

  2010-07-01

  32989 2480 Pages:462-476

• Error Estimates in Balanced Norms of Finite Element Methods for Higher Order Reaction-Diffusion Problems

  Sebastian Franz, Hans-G. Roos

  2020-08-04

  39402 2729 Pages:532-542

• Interior Layers in a Reaction-Diffusion Equation with a Discontinuous Diffusion Coefficient

  Carlo de Falco, Eugene O'Riordan

  2010-07-01

  33795 2678 Pages:444-461

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

  I. Boglaev

  2011-08-01

  31342 2610 Pages:599-614

• 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

  35779 4185 Pages:178-202

• Analysis of an Efficient Parameter Uniform Domain Decomposition Approach for Singularly Perturbed Gierer-Meinhardt Type Nonlinear Coupled Systems of Parabolic Problems

  Aakansha, Sunil Kumar, Pratibhamoy Das

  2025-04-29

  7262 605 Pages:459-482

• An Almost Fourth Order Parameter-Robust Numerical Method for a Linear System of ($M\geq2$) Coupled Singularly Perturbed Reaction-Diffusion Problems

  S. C. S. Rao, M. Kumar

  2013-10-01

  230 96 Pages:603-621

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

  Simon Becher

  2018-11-22

  33707 2745 Pages:499-518

• A Posteriori Error Estimation for a Singularly Perturbed Problem with Two Small Parameters

  T. Linss

  2010-07-01

  32907 2560 Pages:491-506

• 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 Pages:428-443

• Pointwise Approximation of Corner Singularities for Singularly Perturbed Elliptic Problems with Characteristic Layers

  V. B. Andreev

  2010-07-01

  33036 2589 Pages:416-427

• Numerical Approximation of Two-Dimensional Convection-Diffusion Equations with Multiple Boundary Layers

  Chang-Yeol Jung, Roger Temam

  2005-02-01

  29733 2606 Pages:367-408

• Convergence Analysis of Finite Element Solution of One-Dimensional Singularly Perturbed Differential Equations on Equidistributing Meshes

  Weizhang Huang

  2005-04-03

  32437 3819 Pages:57-74

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

  Huiqing Zhu, Zhimin Zhang

  2013-10-01

  32345 2689 Pages:350-373

• 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 Pages:385-399

• A Posteriori Error Estimation for a Defect-Correction Method Applied to Convection-Diffusion Problems

  Torsten Linss, Natalia Kopteva

  2010-07-01

  31427 2680 Pages:718-733

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

  Ziqing Xie, Peng Zhu, Shuzi Zhou

  2013-10-01

  32859 2594 Pages:845-859

• Parabolic Singularly Perturbed Problems with Exponential Layers: Robust Discretizations Using Finite Elements in Space on Shishkin Meshes

  Lena Kaland, Hans-Goerg Roos

  2010-07-01

  32885 2575 Pages:593-606