An error analysis of Runge鈥揔utta convolution quadrature
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- 作者：Lehel Banjai (1) banjai@mis.mpg.de
Christian Lubich (2) lubich@na.uni-tuebingen.de - 关键词：Convolution quadrature – ; Runge– ; Kutta methods – ; Time ; domain boundary integral operators
- 刊名：BIT Numerical Mathematics
- 出版时间：September 2011
- 出版年：2011
- 期刊代码：30_0006-3835
- 类别：mat
- 卷：51
- 期：3
- 页码：483-496
- 数据来源：sp
摘要
An error analysis is given for convolution quadratures based on strongly A-stable Runge–Kutta methods, for the non-sectorial case of a convolution kernel with a Laplace transform that is polynomially bounded in a half-plane. The order of approximation depends on the classical order and stage order of the Runge–Kutta method and on the growth exponent of the Laplace transform. Numerical experiments with convolution quadratures based on the Radau IIA methods are given on an example of a time-domain boundary integral operator.