Explicit Runge-Kutta formulas with increased stability boundaries

Author:

van der Houwen P. J.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference18 articles.

1. Calahan, D. A.: A stable, accurate method of numerical integration for non-linear systems. Proc. IEEE56, 744?746 (1968).

2. Fehlberg, E.: Klassische Runge-Kutta-Formeln vierter und niedrigerer Ordnung mit Schrittweiten-Kontrolle und ihre Anwendung auf Wärmeleitungsprobleme. Computing6, 61?71 (1970).

3. Franklin, J. N.: Numerical stability in digital and analogue computation for diffusion problems. J. Math. Phys.37, 305?315 (1959).

4. Houwen, P. J. van der: Finite difference methods for solving partial differential equations. MC Tract 20. Mathematisch Centrum, Amsterdam (1968).

5. Houwen, P. J. van der: Difference schemes with complex time steps. Report MR 105, Mathematisch Centrum, Amsterdam (1969), 16 pp.

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