Variable-Stepsize Explicit Two-Step Runge-Kutta Methods

DOI10.2307/2153065zbMath0769.65052OpenAlexW4244999877MaRDI QIDQ4031572

Marino Zennaro, Zdzisław Jackiewicz

Publication date: 1 April 1993

Full work available at URL: https://doi.org/10.2307/2153065

zbMATH Keywords

error estimatesmultivalue methodsvariable step, explicit two-step 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) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items

Explicit two-step Runge-Kutta methods, On the derivation of explicit two-step peer methods, Explicit two-step peer methods, Order conditions for general linear methods, Two-step Runge-Kutta methods for stochastic differential equations, Local error estimation for singly-implicit formulas by two-step Runge- Kutta methods, Derivation and implementation of two-step Runge-Kutta pairs, Nordsieck representation of two-step Runge-Kutta methods for ordinary differential equations, Variable stepsize continuous two-step Runge-Kutta methods for ordinary differential equations, Diagonally implicit general linear methods for ordinary differential equations, Stability analysis of two-step Runge-Kutta methods for delay differential equations

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