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On the existence of solutions to the algebraic equations in implicit runge-kutta methods

✍ Scribed by M. Crouzeix; W. H. Hundsdorfer; M. N. Spijker


Publisher
Springer Netherlands
Year
1983
Tongue
English
Weight
338 KB
Volume
23
Category
Article
ISSN
0006-3835

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On the generation of mono-implicit Runge
✍ H De Meyer; G Vanden Berghe; T Van Hecke; M Van Daele πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 1017 KB

Mono-implicit Runge-Kutta methods can be used to generate implicit Runge-Kutta-Nystr6m (IRKN) methods for the numerical solution of systems of second-order differential equations. The paper is concerned with the investigation of the conditions to be fulfilled by the mono-implicit Runge-Kutta (MIRK)