Accuracy analysis of acceleration schemes for stiff multiscale problems

DOI10.1016/j.cam.2006.11.010zbMath1134.65044OpenAlexW1989721283MaRDI QIDQ2475388

Dirk Roose, Christophe Vandekerckhove

Publication date: 11 March 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.2006.11.010

zbMATH Keywords

stabilityheat equationnumerical experimentsaccuracyerror boundsstiff systemsEuler methodmultistep methodpendulum equationmultiscale computing

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear ordinary differential equations and systems (34A34) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

A Note on Implementations of the Boosting Algorithm and Heterogeneous Multiscale Methods, Analysis of a micro-macro acceleration method with minimum relative entropy moment matching, An efficient Newton-Krylov implementation of the constrained runs scheme for initializing on a slow manifold, A Micro-Macro Acceleration Method for the Monte Carlo Simulation of Stochastic Differential Equations, Acceleration of lattice Boltzmann models through state extrapolation: a reaction-diffusion example, On convergence of higher order schemes for the projective integration method for stiff ordinary differential equations

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