Comparison of the asymptotic stability properties for two multirate strategies

DOI10.1016/j.cam.2007.09.005zbMath1146.65060OpenAlexW2089970152MaRDI QIDQ939554

Valeriu Savcenco

Publication date: 22 August 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.09.005

zbMATH Keywords

numerical examplesasymptotic stabilityordinary differential equationsmultirate time steppinglocal time stepping

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

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Cites Work

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• A multirate time stepping strategy for stiff ordinary differential equations
• Analysis of a multirate theta-method for stiff ODEs
• Stability properties of backward differentiation multirate formulas
• A charge oriented mixed multirate method for a special class of index-1 network equations in chip design
• A multirate W-method for electrical networks in state-space formulation
• Multirate partitioned Runge-Kutta methods