A polynomial formulation of adaptive strong stability preserving multistep methods
Mohammadi, Fatemeh; Arevalo, Carmen; Fuhrer, Claus (2019). A polynomial formulation of adaptive strong stability preserving multistep methods. SIAM Journal on Numerical Analysis, 57, (1), 27 - 43
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Published
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English
Authors:
Mohammadi, Fatemeh
;
Arevalo, Carmen
;
Fuhrer, Claus
Department:
Numerical Analysis
Mathematics (Faculty of Sciences)
eSSENCE: The e-Science Collaboration
Mathematics (Faculty of Engineering)
Research Group:
Numerical Analysis
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.
Keywords:
Adaptive SSP multistep methods ;
Strong stability preserving ;
TVD schemes ;
Variable step-sizes
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