[BOOK][B] Robust numerical methods for singularly perturbed differential equations

HG Roos - 2008 - Springer
The analysis of singular perturbed differential equations began early in the twentieth
century, when approximate solutions were constructed from asymptotic expansions …

A brief survey on numerical methods for solving singularly perturbed problems

MK Kadalbajoo, V Gupta - Applied mathematics and computation, 2010 - Elsevier
In the present paper, a brief survey on computational techniques for the different classes of
singularly perturbed problems is given. This survey is a continuation of work performed …

Layer-adapted meshes for convection–diffusion problems

T Linß - Computer Methods in Applied Mechanics and …, 2003 - Elsevier
In the present paper, a classification and a survey are given of layer-adapted meshes for
stationary convection-dominated convection–diffusion problems. For a number of standard …

[BOOK][B] Layer-adapted meshes for reaction-convection-diffusion problems

T Linß - 2009 - books.google.com
This is a book on numerical methods for singular perturbation problems–in part-ular,
stationary reaction-convection-diffusion problems exhibiting layer behaviour. More precisely …

A robust adaptive method for a quasi-linear one-dimensional convection-diffusion problem

N Kopteva, M Stynes - SIAM Journal on Numerical Analysis, 2001 - SIAM
A quasi-linear conservative convection-diffusion two-point boundary value problem is
considered. To solve it numerically, an upwind finite difference scheme is applied. The mesh …

Shishkin meshes in the numerical solution of singularly perturbed differential equations

N Kopteva, E O'Riordan - 2010 - researchrepository.ul.ie
This article reviews some of the salient features of the piecewise-uniform Shishkin mesh.
The central analytical techniques involved in the associated numerical analysis are …

[HTML][HTML] A singularly perturbed problem with two parameters on a Bakhvalov-type mesh

M Brdar, H Zarin - Journal of Computational and Applied Mathematics, 2016 - Elsevier
A singularly perturbed problem with two small parameters is considered. On a Bakhvalov-
type mesh we prove uniform convergence of a Galerkin finite element method with …

[PDF][PDF] Robust numerical methods for singularly perturbed differential equations

HG Roos - 2008 - dspace.kottakkalfarookcollege.edu …
The analysis of singular perturbed differential equations began early in the twentieth
century, when approximate solutions were constructed from asymptotic expansions …

A parameter robust numerical method for a system of two singularly perturbed convection–diffusion equations

S Bellew, E O'Riordan - Applied Numerical Mathematics, 2004 - Elsevier
In this paper a coupled system of two singularly perturbed convection–diffusion ordinary
differential equations is examined. A numerical method is constructed for this system which …

Error estimates for linear finite elements on Bakhvalov-type meshes

HG Roos - Applications of Mathematics, 2006 - Springer
Error Estimates for Linear Finite Elements on Bakhvalov-Type Meshes Page 1 51 (2006)
APPLICATIONS OF MATHEMATICS No. 1, 63–72 ERROR ESTIMATES FOR LINEAR FINITE …