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• Formulas of Numerical Differentiation on a Uniform Mesh for Functions with the Exponential Boundary Layer

  Alexander Zadorin, Svetlana Tikhovskaya

  2019-02-21

  34554 2751 Pages:590-608

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

  C.-Y. Jung & R. Temam

  2008-05-01

  31287 3349 Pages:729-748

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

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

  2007-04-01

  150 69 Pages:127-140

• Linear Moment Models to Approximate Knudsen Layers

  Ruo Li, Yichen Yang

  2023-01-14

  29118 2705 Pages:153-175

• An Enriched Subspace Finite Element Method for Convection-Diffusion Problems

  R. B. Kellogg & C. Xenophontos

  2010-07-01

  33200 2531 Pages:477-490

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

  Simon Becher

  2018-11-22

  33612 2709 Pages:499-518

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

  J. L.Gracia & E. O'Riordan

  2012-09-01

  33183 2568 Pages:823-843

• Analysis of a Cartesian PML Approximation to the Three Dimensional Electromagnetic Wave Scattering Problem

  J. H. Bramble, J. E. Pasciak

  2012-08-06

  35786 2578 Pages:543-561

• DNS of Forced Mixing Layer

  M. J. Maghrebi, A. Zarghami

  2018-08-15

  31618 3849 Pages:173-193

• New Shock Detector and Improved Control Function for Shock-Boundary Layer Interaction

  C. Liu, H. Fu & P. Lu

  2012-09-01

  32730 2497 Pages:276-288

• 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

  32911 2501 Pages:580-592

• Finite Volume Approximation of Two-Dimensional Stiff Problems

  C.-Y. Jung, R. Temam

  2010-07-01

  32903 2457 Pages:462-476

• 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

  30485 2505 Pages:680-695

• A Diffuse Domain Approximation with Transmission-Type Boundary Conditions I: Asymptotic Analysis and Numerics

  Toai Luong, Tadele Mengesha, Steven M. Wise, Ming Hei Wong

  2025-05-26

  7906 490 Pages:694-727

• Numerical Characterization of the Regularity Loss in Minimal Surfaces

  M. Hamouda & H. V. J. Le Meur

  2008-05-01

  31445 3597 Pages:152-166

• Convergence of the Time-Domain Perfectly Matched Layer Method for Acoustic Scattering Problems

  Z. Chen

  2009-06-01

  32719 3835 Pages:124-146

• On the Comparison of Properties of Rayleigh Waves in Elastic and Viscoelastic Media

  Yangyang He, Jinghuai Gao & Zhangxin Chen

  2015-12-01

  35101 2687 Pages:254-267

• 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

  33838 2693 Pages:795-814

• Dimension Splitting Method for 3D Rotating Compressible Navier-Stokes Equations in the Turbomachinery

  K. Li & D. Liu

  2009-08-07

  30695 2459 Pages:420-439

• 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

  32471 2619 Pages:785-810

• A Diffuse Domain Approximation with Transmission-Type Boundary Conditions II: Gamma-Convergence

  Toai Luong, Tadele Mengesha, Steven M. Wise, Ming Hei Wong

  2025-05-26

  7805 488 Pages:728-744

• 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

  40141 2681 Pages:481-499

• Linear Advection with Ill-Posed Boundary Conditions via $L^1$-Minimization

  Jean-Luc Guermond, Bojan Popov

  2007-04-01

  32434 3829 Pages:39-47

• The Singularity-Separated Method for the Singular Perturbation Problems in 1-D

  Chuanmiao Chen, Jing Yang

  2018-08-14

  33373 3855 Pages:102-110

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

  H. Zhu & Z. Zhang

  2013-10-01

  32255 2666 Pages:350-373

• Well-Posedness and the Multiscale Algorithm for Heterogeneous Scattering of Maxwell's Equations in Dispersive Media

  Yongwei Zhang, Liqun Cao, Dongyang Shi

  2021-03-24

  32338 2634 Pages:235-264

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

  Igor Boglaev, Sophie Pack

  2008-05-01

  32510 3599 Pages:24-39