TY - JOUR
T1 - Strong stability preserving transformed DIMSIMs
AU - Izzo, Giuseppe
AU - Jackiewicz, Zdzislaw
N1 - Funding Information:
The authors would like to express their gratitude to anonymous referees whose comments helped to improve the presentation of this paper. The work of first author was partially supported by GNCS-INdAM .
Publisher Copyright:
© 2018 Elsevier B.V.
PY - 2018/12/1
Y1 - 2018/12/1
N2 - In this paper we investigate the strong stability preserving (SSP) property of transformed diagonally implicit multistage integration methods (DIMSIMs). Within this class, examples of SSP methods of order p=1,2,3 and 4 and stage order q=p have been determined, and also suitable starting and finishing procedure have been constructed. The numerical experiments performed on a set of test problems have shown that SSP transformed DIMSIMs can be more accurate and competitive with SSP Runge–Kutta methods of the same order.
AB - In this paper we investigate the strong stability preserving (SSP) property of transformed diagonally implicit multistage integration methods (DIMSIMs). Within this class, examples of SSP methods of order p=1,2,3 and 4 and stage order q=p have been determined, and also suitable starting and finishing procedure have been constructed. The numerical experiments performed on a set of test problems have shown that SSP transformed DIMSIMs can be more accurate and competitive with SSP Runge–Kutta methods of the same order.
KW - Construction of methods
KW - DIMSIMs
KW - General linear methods
KW - Monotonicity
KW - Strong stability preserving
KW - Transformed methods
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U2 - 10.1016/j.cam.2018.03.018
DO - 10.1016/j.cam.2018.03.018
M3 - Article
AN - SCOPUS:85047256907
SN - 0377-0427
VL - 343
SP - 174
EP - 188
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
ER -