A 3(2) pair of Runge-Kutta formulas

DOI10.1016/0893-9659(89)90079-7zbMath0705.65055OpenAlexW1976314836MaRDI QIDQ918152

Przemyslaw Bogacki, Lawrence F. Shampine

Publication date: 1989

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(89)90079-7

zbMATH Keywords

monotonicitystabilityinstabilityconvexitysystemsemi-discretizationautomatic control of step sizeLow order explicit Runge-Kutta formulaspairs of explicit Runge-Kutta formulasthree stage, third 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Cites Work

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• Klassische Runge-Kutta-Formeln vierter und niedrigerer Ordnung mit Schrittweiten-Kontrolle und ihre Anwendung auf Wärmeleitungsprobleme
• Practical Aspects of Interpolation in Runge-Kutta Codes

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