On pseudo-Runge-Kutta methods with 2 and 3 stages

DOI10.2977/prims/1195183286zbMath0507.65031OpenAlexW2033011062MaRDI QIDQ1837523

Masaharu Nakashima

Publication date: 1982

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/1195183286

zbMATH Keywords

numerical resultslocal truncation errorpseudo-Runge-Kutta methodsmulti-stage methods

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (8)

Some implicit fourth and fifth order methods with optimum processes for numerical initial value problems ⋮ Pseudo Runge-Kutta processes ⋮ A class of pseudo Runge-Kutta methods ⋮ Higher‐order explicit schemes based on the method of characteristics for hyperbolic equations with crossing straight‐line characteristics ⋮ An explicit method of sixth order with three stages for the Cauchy problem ⋮ Some new two-step integration methods ⋮ On a pseudo-Runge-Kutta method of order 6 ⋮ Implicit pseudo-Runge-Kutta processes

Cites Work

• Unnamed Item
• On errors in the numerical solution of ordinary differential equations by step-by-step methods
• On a pseudo-Runge-Kutta method of order 6
• Metodi pseudo Runge-Kutta ottimali
• Metodi pseudo Runge-Kutta di seconda specie
• Runge-Kutta Methods with Minimum Error Bounds
• On the Attainable Order of Runge-Kutta Methods
• Pseudo-Runge-Kutta Methods Involving Two Points
• Parameters for pseudo Runge-Kutta methods
• Pseudo-Runge-Kutta Methods of the Fifth Order
• Comparing Error Estimators for Runge-Kutta Methods
• On the Accuracy of Runge-Kutta's Method

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