A polynomial formulation of adaptive strong stability preserving multistep methods
(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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https://lup.lub.lu.se/record/cc6cfde0-240b-4ba5-96c0-d1c23250cbe5
- author
- Mohammadi, Fatemeh LU ; Arevalo, Carmen LU and Fuhrer, Claus LU
- organization
- publishing date
- 2019
- 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
- 2022-03-10 01:30:14
@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}}, }