Strong stability preserving properties of composition Runge-Kutta schemes
Date
2019
Director
Publisher
Springer
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión aceptada / Onetsi den bertsioa
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Abstract
In this paper Strong Stability Preserving (SSP) properties of Runge Kutta methods obtained by com- posing k different schemes with different step sizes are studied. The SSP coefficient of the composition method is obtained and an upper bound on this coefficient is given. Some examples are shown. In par- ticular, it is proven that the optimal n2-stage third order explicit Runge-Kutta methods obtained by D.I. Ketcheson [SIAM J. Sci. Comput. 30(4), 2008] are composition of first order SSP schemes.
Description
Keywords
Initial value problem, Runge-Kutta composition method, Strong stability preserving, SSP, Monotonicity, Radius of absolute monotonicity
Department
Estadística, Informática y Matemáticas / Estatistika, Informatika eta Matematika
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