Pseudo Runge-Kutta processes

DOI10.2977/PRIMS/1195176249zbMath0638.65059OpenAlexW1974479078MaRDI QIDQ1099592

Masaharu Nakashima

Publication date: 1987

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195176249

zbMATH Keywords

A-stabilityhybrid methodsexplicit methodsimplicit methodstwo-step methods\(A\)-stable methodsGaussian type Runge-Kutta methodsno error estimationno step size controlpseudo Runge-Kutta method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (1)

Rooted tree analysis of Runge--Kutta methods with exact treatment of linear terms

Cites Work

• Runge-Kutta type integration formulas including the evaluation of the second derivative. I
• The non-existence of ten stage eighth order explicit Runge-Kutta methods
• On pseudo-Runge-Kutta methods with 2 and 3 stages
• On a pseudo-Runge-Kutta method of order 6
• Metodi pseudo Runge-Kutta di seconda specie
• Order stars and stability theorems
• On the Attainable Order of Runge-Kutta Methods
• Pseudo-Runge-Kutta Methods Involving Two Points
• Pseudo-Runge-Kutta Methods of the Fifth Order
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