Numerical stability analysis of an acceleration scheme for step size constrained time integrators

DOI10.1016/j.cam.2006.01.029zbMath1108.37054OpenAlexW2132113005MaRDI QIDQ869512

Christophe Vandekerckhove, Dirk Roose, Kurt Lust

Publication date: 8 March 2007

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.2006.01.029

zbMATH Keywords

stability analysistime integrationextrapolationconvection-diffusion partial differential equationprojective integration methodtime-stepper

Mathematics Subject Classification ID

Related Items (8)

A High-Order Asymptotic-Preserving Scheme for Kinetic Equations Using Projective Integration ⋮ A Note on Implementations of the Boosting Algorithm and Heterogeneous Multiscale Methods ⋮ Telescopic projective integration for linear kinetic equations with multiple relaxation times ⋮ A high-order relaxation method with projective integration for solving nonlinear systems of hyperbolic conservation laws ⋮ An efficient Newton-Krylov implementation of the constrained runs scheme for initializing on a slow manifold ⋮ Acceleration of lattice Boltzmann models through state extrapolation: a reaction-diffusion example ⋮ Accuracy analysis of acceleration schemes for stiff multiscale problems ⋮ On convergence of higher order schemes for the projective integration method for stiff ordinary differential equations

Cites Work

• Coarse projective kMC integration: Forward/reverse initial and boundary value problems
• Increasing the real stability boundary of explicit methods
• Telescopic projective methods for parabolic differential equations
• Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis
• Projective Methods for Stiff Differential Equations: Problems with Gaps in Their Eigenvalue Spectrum
• Super-time-stepping acceleration of explicit schemes for parabolic problems
• Explicit Runge-Kutta methods for parabolic partial differential equations

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