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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.

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author
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
SIAM Publications
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
2019-03-19 15:52:13
@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},
  keyword      = {Adaptive SSP multistep methods,Strong stability preserving,TVD schemes,Variable step-sizes},
  language     = {eng},
  number       = {1},
  pages        = {27--43},
  publisher    = {SIAM Publications},
  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},
  volume       = {57},
  year         = {2019},
}