A polynomial formulation of adaptive strong stability preserving multistep methods

Research output: Contribution to journalArticle

Abstract

A new formulation of explicit multistep methods allows variable step-sizes by construction. This formulation can be used to construct time-adaptive strong stability preserving (SSP) multistep methods of any order for the solution of time-dependent PDEs. The new formulation is implemented in a MATLAB package, and some numerical examples are presented.

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Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics

Keywords

  • Adaptive SSP multistep methods, Strong stability preserving, TVD schemes, Variable step-sizes
Original languageEnglish
Pages (from-to)27-43
Number of pages17
JournalSIAM Journal on Numerical Analysis
Volume57
Issue number1
Publication statusPublished - 2019
Publication categoryResearch
Peer-reviewedYes