Block embedded explicit Runge-Kutta methods

DOI10.1016/0898-1221(85)90061-6zbMath0579.65067OpenAlexW1982261323MaRDI QIDQ1067368

Jeff R. Cash

Publication date: 1985

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(85)90061-6

zbMATH Keywords

comparison of methodserror estimationblock explicit Runge-Kutta methodsRKF45

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

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• Multistep methods for the numerical solution of ordinary differential equations made self-starting
• Block Runge-Kutta Methods for the Numerical Integration of Initial Value Problems in Ordinary Differential Equations Part I. The Nonstiff Case
• Global Error Estimation in Adams PC-Codes
• Test Results on Initial Value Methods for Non-Stiff Ordinary Differential Equations
• An Order Five Runge-Kutta Process with Extended Region of Stability
• Error estimates for Runge-Kutta type solutions to systems of ordinary differential equations
• Cyclic Composite Multistep Predictor-Corrector Methods
• Comparing Numerical Methods for Ordinary Differential Equations
• Comparing Error Estimators for Runge-Kutta Methods
• Coefficients for the study of Runge-Kutta integration processes
• A Runge-Kutta for all Seasons

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