Regular Runge-Kutta pairs

DOI10.1016/S0168-9274(97)00062-7zbMath0890.65076MaRDI QIDQ1372704

Desmond J. Higham

Publication date: 23 June 1998

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

zbMATH Keywords

variable stepsizelocal error controlspurious fixed pointsregular Runge-Kutta methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (3)

Regularity properties of one-leg methods for delay differential equations ⋮ Spurios fixed points of a variable step size, variable order, predictor corrector algorithm ⋮ Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations

Cites Work

• Equilibria of Runge-Kutta methods
• Regularity properties of Runge-Kutta methods for delay differential equations
• Klassische Runge-Kutta-Formeln vierter und niedrigerer Ordnung mit Schrittweiten-Kontrolle und ihre Anwendung auf Wärmeleitungsprobleme
• Equilibrium states of Runge Kutta schemes
• Spurious solutions of numerical methods for initial value problems
• Stability and Dynamics of Numerical Methods for Nonlinear Ordinary Differential Equations
• Does Error Control Suppress Spuriosity?
• Regularity properties of Runge-Kutta methods for ordinary differential equations

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