An explicit method of sixth order with three stages for the Cauchy problem

DOI10.1007/BF02575870zbMath0753.65060OpenAlexW2039231512MaRDI QIDQ1193080

Rosanna Caira, Francesco Aldo Costabile

Publication date: 27 September 1992

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02575870

zbMATH Keywords

stabilitynumerical examplesinitial value problemConvergenceRunge-Kutta methodexplicit methodsixth order formula

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

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Cites Work

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• On pseudo-Runge-Kutta methods with 2 and 3 stages
• Metodi pseudo Runge-Kutta ottimali
• A class of pseudo Runge-Kutta methods