Solution of the equations associated with rational Runge-Kutta methods of orders up to four

DOI10.1016/0771-050X(80)90037-6zbMath0444.65042MaRDI QIDQ1144909

A. Wambecq

Publication date: 1980

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

zbMATH Keywords

rational Runge-Kutta methodsA- and L-stable explicit methodsorders up to four

Mathematics Subject Classification ID

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

Related Items

Coefficients for studying one-step rational schemes for IVPs in ODEs: II, On the stability of rational Runge Kutta methods, Coefficients for studying one-step rational schemes for IVPs in ODEs. III: Extrapolation methods

Uses Software

• ALTRAN

Cites Work

• Rational Runge-Kutta methods for solving systems of ordinary differential equations
• Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations
• Coefficients for the study of Runge-Kutta integration processes
• Implicit Runge-Kutta Processes
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