Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639567 | Journal of Computational and Applied Mathematics | 2012 | 10 Pages |
Abstract
We investigate the properties of stability functions of exponentially-fitted Runge–Kutta methods, and we show that it is possible (to some extent) to determine the stability function of a method without actually constructing the method itself. To focus attention, examples are given for the case of one-stage methods. We also make the connection with so-called integrating factor methods and exponential collocation methods. Various approaches are given to construct these methods.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
D. Hollevoet, M. Van Daele,