Optimal approximability of solutions of singularly perturbed two-point boundary value problems

被引：10

作者：

Kellogg, RB ^{[1
]}

Stynes, M ^{[1
]}

机构：

[1] UNIV COLL CORK,DEPT MATH,CORK,IRELAND

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1997年 / 34卷 / 05期

关键词：

n-width; singularly perturbed; differential equation; convection-diffusion; reaction-diffusion;

D O I：

10.1137/S0036142995290269

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the theory of n-widths, the approximability of solutions of singularly perturbed reaction-diffusion and convection-diffusion problems in one dimension is quantified.

引用

页码：1808 / 1816

页数：9

共 4 条

[1] NECESSARY CONDITIONS TO AVOID NUMERICAL LOCKING IN SINGULAR PERTURBATIONS - APPLICATION TO ARCH EQUATIONS
CHENAIS, D
ZERNER, M
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1994, 115 (1-2) : 145 - 163
[2] Lorentz G.G., 1986, Approximation of functions
[3] PINKUS A, 1985, N WIDTHS APPROX THEO
[4] FINITE-ELEMENT METHODS FOR SINGULARLY PERTURBED HIGH-ORDER ELLIPTIC 2-POINT BOUNDARY-VALUE-PROBLEMS .1. REACTION-DIFFUSION-TYPE PROBLEMS
SUN, GF
STYNES, M
[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 1995, 15 (01) : 117 - 139

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