``Rescale and modify implementation of IRKS methods

DOI10.1007/s11075-008-9181-zzbMath1142.65057OpenAlexW2068232182MaRDI QIDQ925247

Mohammed Hosseini Ali Abadi, Payam Mokhtary

Publication date: 3 June 2008

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-008-9181-z

zbMATH Keywords

numerical experimentsstiff systemsvariable step sizevariable orderinherent Runge-Kutta stability (IRKS)rescale and modify

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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Cites Work

• A new approach to error estimation for general linear methods
• On the asymptotic properties of a family of matrices
• Explicit general linear methods with inherent Runge--Kutta stability
• Error propagation of general linear methods for ordinary differential equations
• On error estimation in general linear methods for stiff ODEs
• Solving Ordinary Differential Equations I
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