Construction of a multirate RODAS method for stiff ODEs

DOI10.1016/j.cam.2008.07.041zbMath1159.65072OpenAlexW1991275414MaRDI QIDQ1005994

Valeriu Savcenco

Publication date: 17 March 2009

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.2008.07.041

zbMATH Keywords

numerical examplesmultirate time steppinglocal time steppinghigh-order Rosenbrock methodsRODAS methodstiff, linear systems

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

Related Items (9)

A linearly fourth order multirate Runge-Kutta method with error control ⋮ Mixed-mode state-time discretization in ODE numerical integration ⋮ Multirate Numerical Integration for Stiff ODEs ⋮ Implicit multirate GARK methods ⋮ Comparison of the asymptotic stability for multirate Rosenbrock methods ⋮ A posteriori analysis of a multirate numerical method for ordinary differential equations ⋮ Multirate generalized additive Runge Kutta methods ⋮ Efficient simulation of a slow-fast dynamical system using multirate finite difference schemes ⋮ Rosenbrock-Wanner Methods: Construction and Mission

Uses Software

• RODAS

Cites Work

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• A multirate time stepping strategy for stiff ordinary differential equations
• Continuous extensions of Rosenbrock-type methods
• Comparison of the asymptotic stability properties for two multirate strategies
• Analysis of a multirate theta-method for stiff ODEs
• Spectral/Rosenbrock discretizations without order reduction for linear parabolic problems
• A multirate W-method for electrical networks in state-space formulation
• Stability Properties of Interpolants for Runge–Kutta Methods
• Rosenbrock Methods for Partial Differential Equations and Fractional Orders of Convergence
• Monotonicity Conditions for Multirate and Partitioned Explicit Runge-Kutta Schemes
• Multirate partitioned Runge-Kutta methods

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