Runge-Kutta methods and Banach algebras

DOI10.1016/J.CAM.2012.03.018zbMath1246.65120OpenAlexW2046162812MaRDI QIDQ433933

John C. Butcher

Publication date: 9 July 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.03.018

zbMATH Keywords

initial value problemexplicit Runge-Kutta methodsrooted treesforest spaceformal Taylor expansionsfourth order methodstree space

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• Unnamed Item
• The tree and forest spaces with applications to initial-value problem methods
• On the Butcher group and general multi-value methods
• A new approach to the algebraic structures for integration methods
• The Order of Numerical Methods for Ordinary Differential Equations
• An Algebraic Theory of Integration Methods

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