Search Results

• 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

• 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

• 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

• 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

• 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

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

  T. Linss

  2010-07-01

  32907 2560 pp. 491-506

• 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

• Two-Grid Algorithms for an Ordinary Second Order Equation with an Exponential Boundary Layer in the Solution

  L. G. Vulkov, A. I. Zadorin

  2010-07-01

  33004 2543 pp. 580-592

• Interior Layers in a Singularly Perturbed Time Dependent Convection-Diffusion Problem

  J. L.Gracia & E. O’Riordan

  2021-10-20

  34582 2684 pp. 358-371

• Analysis of a Galerkin Finite Element Method Applied to a Singularly Perturbed Reaction-Diffusion Problem in Three Dimensions

  Stephen Russell, Niall Madden

  2020-05-20

  35119 2738 pp. 297-315

• A Uniform Numerical Method for a Boundary-Shock Problem

  R. Vulanović

  2010-07-01

  32954 2592 pp. 567-579

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

  V. B. Andreev

  2010-07-01

  33036 2589 pp. 416-427

• 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

• 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

• 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

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

  Torsten Linss, Natalia Kopteva

  2010-07-01

  31427 2680 pp. 718-733

• 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

• 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

• 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

• 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

• 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

• 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