Note on Filon-type integration for higher order exponential time differencing methods in stiff systems

被引：1

作者：

Xiang, SH ^{[1
]}

机构：

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Peoples R China

来源：

JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY | 2005年 / 12卷 / Suppl 1期

关键词：

exponential time differencing method; stiff system; Filon method; Runge-Kutta method;

D O I：

10.1007/s11771-005-0417-y

中图分类号：

TF [冶金工业];

学科分类号：

0806 ;

摘要：

The Filon-type quadrature is efficient for highly oscillatory functions -Fourier transforms. Based on Cox and Matthews' ETD schemes, the higher order single step exponential time differencing schemes are presented based on the Filon-type integration and the A-stability of the two-order Adams-Bashforth exponential time differencing scheme is considered. The effectiveness and accuracy of the schemes is tested.

引用

页码：298 / 303

页数：6

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