Construction and implementation of general linear methods for ordinary differential equations: a review

DOI10.1007/BF02728981zbMath1203.65103OpenAlexW4247565548MaRDI QIDQ617060

Zdzisław Jackiewicz

Publication date: 20 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02728981

zbMATH Keywords

Runge-Kutta stabilitygeneral linear methodslocal error estimation\texttt{Matlab}implementation aspectsorder and stage order

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Related Items (6)

A new approach to the construction of DIMSIMs of high order and stage order ⋮ Order reduction phenomenon for general linear methods ⋮ Order conditions for second derivative general linear methods ⋮ Error propagation of general linear methods for ordinary differential equations ⋮ A new class of efficient general linear methods for ordinary differential equations ⋮ Accurate implicit-explicit general linear methods with inherent Runge-Kutta stability

Uses Software

• Matlab
• DIMSIM
• RODAS
• PITCON
• NL2SOL
• ALCON
• HOMPACK
• MATLAB ODE suite

Cites Work

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