Runge-Kutta restarters for multistep methods in presence of frequent discontinuities
详细信息 查看全文
- 作者：Fatemeh Mohammadi ; fatemeh@maths.lth.se ; Carmen Aré ; valo ; Claus Fü ; hrer
- 关键词：Multistep methods ; Runge&ndash ; Kutta methods ; Discontinuities ; Error estimation
- 刊名：Journal of Computational and Applied Mathematics
- 出版年：2017
- 出版时间：15 May 2017
- 年：2017
- 卷：316
- 期：Complete
- 页码：287-297
- 全文大小：788 K
- 卷排序：316
文摘
Differential equations with discontinuities or differential equations coupled to discrete systems require frequent re-initializations of the numerical solution process. The classical starting process of multistep methods, based on increasing the order in the initialization phase, is computationally expensive when frequent discontinuities occur. Instead we propose to use the stage values or weight vectors of these specially constructed explicit Runge–Kutta methods for starting processes. Two practical examples demonstrate these methods.