Search Results

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

  C.-Y. Jung & R. Temam

  2008-05-01

  31377 3379 pp. 729-748

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

  Natalia Kopteva, Eugene O'Riordan

  2010-07-01

  33580 2783 pp. 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 pp. 549-566

• 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

• A Block Monotone Domain Decomposition Algorithm for a Nonlinear Singularly Perturbed Parabolic Problem

  Igor Boglaev

  2006-03-01

  30664 2742 pp. 211-231

• An $hp$ Finite Element Method for a Singularly Perturbed Reaction-Convection-Diffusion Boundary Value Problem with Two Small Parameters

  ​Irene Sykopetritou, Christos Xenophontos

  2021-05-25

  40241 2716 pp. 481-499

• 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 pp. 647-667

• Local Analysis of the Local Discontinuous Galerkin Method with the Generalized Alternating Numerical Flux for Two-Dimensional Singularly Perturbed Problem

  Yao Cheng, Qiang Zhang, Haijin Wang

  2018-08-15

  32570 2660 pp. 785-810

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

  Vivek Kumar

  2008-05-01

  31516 2520 pp. 270-285

• 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

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

  Torsten Linss, Niall Madden

  2010-07-01

  33267 2573 pp. 507-519

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

  T. Linss

  2010-07-01

  32907 2560 pp. 491-506

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

  Carlo de Falco, Eugene O'Riordan

  2010-07-01

  33795 2679 pp. 444-461

• 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

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

  V. B. Andreev

  2010-07-01

  33036 2589 pp. 416-427

• 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 pp. 127-140

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

  Chang-Yeol Jung, Roger Temam

  2005-02-01

  29733 2607 pp. 367-408

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

  Weizhang Huang

  2005-04-03

  32438 3819 pp. 57-74

• A Robust Overlapping Schwarz Method for a Singularly Perturbed Semilinear Reaction-Diffusion Problem with Multiple Solutions

  N. Kopteva, M. Pickett & H. Purtill

  2009-06-01

  30590 2536 pp. 680-695

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

  I. Boglaev

  2011-08-01

  31342 2610 pp. 599-614

• A Singularly Perturbed Convection-Diffusion Problem with a Moving Interior Layer

  J. L. Gracia, E. O'Riordan

  2012-09-01

  33285 2601 pp. 823-843

• 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

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

  Owe Axelsson, Evgeny Glushkov, Natalia Clushkova

  2005-02-01

  31143 2656 pp. 127-146

• 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

  DOI:10.4208/ijnam2025-1020

  7265 606 pp. 459-482

• 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 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

  231 96 pp. 603-621