Rational Runge-Kutta methods for solving systems of ordinary differential equations

DOI10.1007/BF02252381zbMath0395.65036OpenAlexW168966221MaRDI QIDQ1253091

Publication date: 1978

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02252381

zbMATH Keywords

Stability Initial Value Problems Convergence Order Explicit Methods Generalization of Runge-Kutta Methods Ordinary Differential Equation Stiff Systems Systems of Equations

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

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Cites Work

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Nonlinear methods in solving ordinary differential equations
Acceleration Techniques for Iterated Vector and Matrix Problems
Estimation of the truncation error in Runge-Kutta and allied processes
[https://portal.mardi4nfdi.de/wiki/Publication:5339699 On the Numerical Solution of y � = f(x, y) by a Class of Formulae Based on Rational Approximation]
On the Attainable Order of Runge-Kutta Methods
The Degree of Approximation by Linear Operators
Coefficients for the study of Runge-Kutta integration processes
The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis
Implicit Runge-Kutta Processes

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