Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509537 | Journal of Computational and Applied Mathematics | 2005 | 26 Pages |
Abstract
In this paper, we study the order reduction which turns up when explicit Runge-Kutta-Nyström methods are used to discretize linear second order hyperbolic equations by means of the method of lines. The order observed in practice, including its fractional part, is obtained. It is also proved that the order reduction can be completely avoided taking the boundary values of the intermediate stages of the time semidiscretization. The numerical experiments confirm that the optimal order can be reached.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
I. Alonso-Mallo, B. Cano, M.J. Moreta,