Unconditional Stability for Multistep ImEx Schemes: Theory

DOI10.1137/16M1094324zbMath1375.65106arXiv1609.04130OpenAlexW2519149964MaRDI QIDQ5363385

Rodolfo Ruben Rosales, Benjamin Seibold, Dong Zhou, David Shirokoff

Publication date: 6 October 2017

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04130

zbMATH Keywords

numerical exampleunconditional stabilityincompressible Navier-Stokes equationhigh-order time steppinglinear implicit-explicit multistep schemes

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) 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)

Related Items (10)

A stiff-cut splitting technique for stiff semi-linear systems of differential equations ⋮ Stable IMEX schemes for a Nitsche-based approximation of elastodynamic contact problems. Selective mass scaling interpretation ⋮ Implicit-Explicit Multistep Methods for Hyperbolic Systems With Multiscale Relaxation ⋮ Local discontinuous Galerkin methods with implicit-explicit multistep time-marching for solving the nonlinear Cahn-Hilliard equation ⋮ A study of the numerical stability of an ImEx scheme with application to the Poisson-Nernst-Planck equations ⋮ High-order finite element methods for a pressure Poisson equation reformulation of the Navier-Stokes equations with electric boundary conditions ⋮ Linearly stabilized schemes for the time integration of stiff nonlinear PDEs ⋮ An analogue to the A$(\vartheta)$-stability concept for implicit-explicit BDF methods ⋮ Unconditional stability for multistep ImEx schemes: practice ⋮ High order semi-implicit multistep methods for time-dependent partial differential equations

Uses Software

• Matlab
• RODAS
• Chebfun

Cites Work

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