Unconditional stability of explicit exponential Runge-Kutta methods for semi-linear ordinary differential equations
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- by S. Maset and M. Zennaro PDF
- Math. Comp. 78 (2009), 957-967 Request permission
Abstract:
In this paper we define unconditional stability properties of exponential Runge-Kutta methods when they are applied to semi-linear systems of ordinary differential equations characterized by a stiff linear part and a non-stiff non-linear part. These properties are related to a class of systems and to a specific norm. We give sufficient conditions in order that an explicit method satisfies such properties. On the basis of such conditions we analyze some of the popular methods.References
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Additional Information
- S. Maset
- Affiliation: Dipartimento di Matematica e Informatica, Università di Trieste, Trieste, Italy
- MR Author ID: 658579
- M. Zennaro
- Affiliation: Dipartimento di Matematica e Informatica, Università di Trieste, Trieste, Italy
- Received by editor(s): October 25, 2006
- Received by editor(s) in revised form: April 14, 2008
- Published electronically: August 18, 2008
- Additional Notes: This work was supported by the Italian MIUR and INdAM-GNCS.
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 78 (2009), 957-967
- MSC (2000): Primary 65L20
- DOI: https://doi.org/10.1090/S0025-5718-08-02171-6
- MathSciNet review: 2476566