Strong Stability Preserving Explicit Linear Multistep Methods with Variable Step Size

DOI10.1137/15M101717XzbMath1348.65126arXiv1504.04107MaRDI QIDQ2821792

Lajos Lóczi, Adrián Németh, Yiannis Hadjimichael, David I. Ketcheson

Publication date: 23 September 2016

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

Full work available at URL: https://arxiv.org/abs/1504.04107

zbMATH Keywords

monotonicityconvergencenumerical exampletime integrationsemidiscretizationlinear multistep methodsvariable step sizenonlinear hyperbolic equationsstrong stability preservation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Second-order nonlinear hyperbolic equations (35L70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (4)

Efficient GPU parallelization of adaptive mesh refinement technique for high-order compressible solver with immersed boundary ⋮ General relaxation methods for initial-value problems with application to multistep schemes ⋮ Strong stability of an optimal control hybrid system in fed-batch fermentation ⋮ A Polynomial Formulation of Adaptive Strong Stability Preserving Multistep Methods

Uses Software

• Pyclaw
• SharpClaw
• PyWENO

Cites Work

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