On the stability of functionally fitted Runge–Kutta methods
✍ Scribed by Nguyen S. Hoang; Roger B. Sidje
- Publisher
- Springer Netherlands
- Year
- 2008
- Tongue
- English
- Weight
- 637 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0006-3835
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📜 SIMILAR VOLUMES
The preservation of some structure properties of the flow of differential systems by numerical exponentially fitted Runge-Kutta (EFRK) methods is considered. A complete characterisation of EFRK methods that preserve linear or quadratic invariants is given and, following the approach of Bochev and Sc
Two new embedded pairs of exponentially fitted explicit Runge-Kutta methods with four and five stages for the numerical integration of initial value problems with oscillatory or periodic solutions are developed. In these methods, for a given fixed ω the coefficients of the formulae of the pair are s