Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

A polynomial formulation of adaptive strong stability preserving multistep methods

Mohammadi, Fatemeh LU ; Arevalo, Carmen LU and Fuhrer, Claus LU (2019) In SIAM Journal on Numerical Analysis 57(1). p.27-43
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.

Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Adaptive SSP multistep methods, Strong stability preserving, TVD schemes, Variable step-sizes
in
SIAM Journal on Numerical Analysis
volume
57
issue
1
pages
17 pages
publisher
Society for Industrial and Applied Mathematics
external identifiers
  • scopus:85062683583
ISSN
0036-1429
DOI
10.1137/17M1158811
language
English
LU publication?
yes
id
cc6cfde0-240b-4ba5-96c0-d1c23250cbe5
date added to LUP
2019-03-19 15:52:13
date last changed
2025-10-14 11:18:18
@article{cc6cfde0-240b-4ba5-96c0-d1c23250cbe5,
  abstract     = {{<p>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.</p>}},
  author       = {{Mohammadi, Fatemeh and Arevalo, Carmen and Fuhrer, Claus}},
  issn         = {{0036-1429}},
  keywords     = {{Adaptive SSP multistep methods; Strong stability preserving; TVD schemes; Variable step-sizes}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{27--43}},
  publisher    = {{Society for Industrial and Applied Mathematics}},
  series       = {{SIAM Journal on Numerical Analysis}},
  title        = {{A polynomial formulation of adaptive strong stability preserving multistep methods}},
  url          = {{http://dx.doi.org/10.1137/17M1158811}},
  doi          = {{10.1137/17M1158811}},
  volume       = {{57}},
  year         = {{2019}},
}