The generalized Euler process for exponentially dominant systems

DOI10.1016/S0898-1221(04)90014-4zbMath1068.65095OpenAlexW2083355341MaRDI QIDQ1433097

Dong Won Yu

Publication date: 15 June 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(04)90014-4

zbMATH Keywords

logarithmic normcontractivityRunge-Kutta algorithmsreal canonical form\(s\)-matrix\(s\)-transformed systemexponentially dominant systemgeneralized Euler process

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) 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)

Related Items (2)

The G-Euler process for nonlinear autonomous systems ⋮ Unnamed Item

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Cites Work

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• Numerical integration of ordinary differential equations on manifolds
• Lie-Butcher theory for Runge-Kutta methods
• Exponential Integrators for Large Systems of Differential Equations
• The automatic integration of ordinary differential equations
• Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants

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