A class of explicit multistep exponential integrators for semilinear problems

被引：71

作者：

Calvo, MP ^{[1
]}

Palencia, C ^{[1
]}

机构：

[1] Univ Valladolid, Dept Matemat Aplicada, E-47002 Valladolid, Spain

来源：

NUMERISCHE MATHEMATIK | 2006年 / 102卷 / 03期

关键词：

D O I：

10.1007/s00211-005-0627-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of explicit multistep exponential methods for abstract semilinear equations is introduced and analyzed. It is shown that the k-step method achieves order k, for appropriate starting values, which can be computed by auxiliary routines or by one strategy proposed in the paper. Together with some implementation issues, numerical illustrations are also provided.

引用

收藏

页码：367 / 381

页数：15

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