Some schemes for the implementation of implicit Runge-Kutta methods
β Scribed by G.J. Cooper; R. Vignesvaran
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 896 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
The partial differential equation part of the bidomain equations is discretized in time with fully implicit Runge-Kutta methods, and the resulting block systems are preconditioned with a block diagonal preconditioner. By studying the time-stepping operator in the proper Sobolev spaces, we show that
Neumann equation in a form with a vanishing stiffness ratio. Based on this form we have designed modified explicit Runge-Kutta methods, which are stable and accurate in the fast motion regime. The results have shown that the Runge-Kutta methods improve the computational efficiency for small systems