Multistep natural continuous extensions of Runge-Kutta methods: The potential for stable interpolation

DOI10.1016/0168-9274(93)90068-3zbMath0787.65049OpenAlexW2051961810MaRDI QIDQ686537

Rossana Vermiglio, Marino Zennaro

Publication date: 10 October 1993

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

Full work available at URL: https://doi.org/10.1016/0168-9274(93)90068-3

zbMATH Keywords

stabilitydelay differential equationscontinuous Runge-Kutta methodswaveform relaxationmultistep interpolantsnon-negative coefficientsorder barrierstepsize change strategies

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)

Related Items (5)

Local time-stepping for adaptive multiresolution using natural extension of Runge-Kutta methods ⋮ Metodi waveform relaxation per la risoluzione numerica di grandi sistemi di equazioni differenziali ordinarie ⋮ Some applications of continuous Runge-Kutta methods ⋮ On the stability of adaptations of Runge-Kutta methods to systems of delay differential equations ⋮ Runge-Kutta methods of dynamic iteration for index-2 differential-algebraic equations

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