Multirate Numerical Integration for Stiff ODEs

DOI10.1007/978-3-642-12110-4_50zbMath1220.65094OpenAlexW2127096889MaRDI QIDQ3006962

Robert M. M. Mattheij, Valeriu Savcenco

Publication date: 21 June 2011

Published in: Progress in Industrial Mathematics at ECMI 2008 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-12110-4_50

zbMATH Keywords

numerical examplesstiff systemsRosenbrock methodsself-adjusting multirate method

Mathematics Subject Classification ID

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) Numerical methods for stiff equations (65L04)

Related Items (1)

Explicit stabilized multirate method for stiff differential equations

Cites Work

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• Multirate extrapolation methods for differential equations with different time scales
• Multirate linear multistep methods
• A multirate time stepping strategy for stiff ordinary differential equations
• Comparison of the asymptotic stability properties for two multirate strategies
• Construction of a multirate RODAS method for stiff ODEs
• Analysis of a multirate theta-method for stiff ODEs
• Stability of backward Euler multirate methods and convergence of waveform relaxation
• 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 timestepping methods for hyperbolic conservation laws
• Multirate partitioned Runge-Kutta methods

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