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On the existence of solution of stage equations in implicit Runge–Kutta methods

✍ Scribed by M. Calvo; J.I. Montijano; S. Gonzalez-Pinto


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
110 KB
Volume
111
Category
Article
ISSN
0377-0427

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On the generation of mono-implicit Runge
✍ H De Meyer; G Vanden Berghe; T Van Hecke; M Van Daele 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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)