A new class of exponential propagation iterative methods of Runge–Kutta type (EPIRK)
✍ Scribed by M. Tokman
- Book ID
- 113695188
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 691 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0021-9991
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The main di culty in the implementation of most standard implicit Runge-Kutta (IRK) methods applied to (sti ) ordinary di erential equations (ODEs) is to e ciently solve the nonlinear system of equations. In this article we propose the use of a preconditioner whose decomposition cost for a parallel
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