Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776487 | Journal of Computational and Applied Mathematics | 2017 | 21 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Fatemeh Mohammadi, Carmen Arévalo, Claus Führer,