On RD-rational Krylov approximations to the core-functions of exponential integrators

被引：16
|
作者：
Moret, I. [1 ]
机构：
[1] Dipartimento Matemat & Informat, I-34127 Trieste, Italy
来源：
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS | 2007年 / 14卷 / 05期
关键词：
Krylov subspace methods; matrix functions; exponential integrators;
D O I：
10.1002/nla.532
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper deals with the application of the restricted-denominator rational Krylov method, recently discussed in (BIT 2004; 44(3):595-615; SIAM J. Sci. Comput. 2005; 27:1438-1457), to the computation of the action of the so-called (phi-functions, which play a fundamental role in several modem exponential integrators. The analysis here presented is devoted in particular to the construction of error estimates of easy practical use. Copyright (c) 2007 John Wiley & Sons, Ltd.
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页码：445 / 457
页数：13
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