TY - JOUR
T1 - Strong Stability Preserving Multistage Integration Methods
AU - Izzo, Giuseppe
AU - Jackiewicz, Zdzislaw
N1 - Publisher Copyright:
© 2015 Vilnius Gediminas Technical University.
PY - 2015/9/3
Y1 - 2015/9/3
N2 - In this paper we systematically investigate explicit strong stability preserving (SSP) multistage integration methods, a subclass of general linear methods (GLMs), of order p and stage order q≤p. Characterization of this class of SSP GLMs is given and examples of SSP methods of order p≤4 and stage order q=1, 2,.. , p are provided. Numerical tests are reported which confirm that the constructed methods achieve the expected order of accuracy and preserve monotonicity.
AB - In this paper we systematically investigate explicit strong stability preserving (SSP) multistage integration methods, a subclass of general linear methods (GLMs), of order p and stage order q≤p. Characterization of this class of SSP GLMs is given and examples of SSP methods of order p≤4 and stage order q=1, 2,.. , p are provided. Numerical tests are reported which confirm that the constructed methods achieve the expected order of accuracy and preserve monotonicity.
KW - general linear methods
KW - monotonicity
KW - multistage integration methods
KW - strong stability preserving
KW - two-step Runge–Kutta methods
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U2 - 10.3846/13926292.2015.1085921
DO - 10.3846/13926292.2015.1085921
M3 - Article
AN - SCOPUS:84942899396
SN - 1392-6292
VL - 20
SP - 552
EP - 577
JO - Mathematical Modelling and Analysis
JF - Mathematical Modelling and Analysis
IS - 5
ER -