Construction of two-sided bounds for initial-boundary value problems

被引：0

作者：

Grossmann, C ^{[1
]}

Horváth, Z

机构：

[1] Tech Univ Dresden, Inst Numer Math, D-01062 Dresden, Germany

[2] Szechenyi Istvan Coll, Dept Math, H-9007 Gyor, Hungary

来源：

APPLIED NUMERICAL MATHEMATICS | 2002年 / 42卷 / 1-3期

关键词：

D O I：

10.1016/S0168-9274(01)00149-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper extends the bounding operator approach developed for boundary value problems to the case of initial-boundary value problems (IBVPs). Following the general principle of bounding operators enclosing methods for the case of partial differential equations are discussed. In particular, continuous discretization methods with an appropriate error bound controlled shift and monotone extensions of Rothe's method for parabolic problems are investigated. (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.

引用

页码：177 / 187

页数：11

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