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On a class of P-stable mono-implicit Runge-Kutta-Nyström methods

✍ Scribed by M Van Daele; H De Meyer; T Van Hecke; G Vanden Berghe


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
672 KB
Volume
27
Category
Article
ISSN
0168-9274

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📜 SIMILAR VOLUMES


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✍ 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)

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New Runge-Kutta-Nyström methods especially designed for the numerical integration of periodic initial value problems are presented in this paper. They are able to integrate exactly the harmonic oscillator. Here we analyze the construction of an embedded 5(3) RKN pair with four stages. Numerical expe