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Strong Stability Preserving Integrating Factor Runge--Kutta Methods [PDF]
Strong stability preserving (SSP) Runge-Kutta methods are often desired when evolving in time problems that have two components that have very different time scales. Where the SSP property is needed, it has been shown that implicit and implicit-explicit methods have very restrictive time-steps and are therefore not efficient.
Leah Isherwood +2 more
exaly +4 more sources
Strong Stability Preserving Two-step Runge–Kutta Methods [PDF]
We investigate the strong stability preserving (SSP) property of two-step Runge-Kutta (TSRK) methods. We prove that all SSP TSRK methods belong to a particularly simple subclass of TSRK methods, in which stages from the previous step are not used. We derive simple order conditions for this subclass.
David I Ketcheson +2 more
exaly +6 more sources
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Strong stability preserving transformed DIMSIMs
Journal of Computational and Applied Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zdzislaw Jackiewicz, Giuseppe Izzo
exaly +3 more sources
Strong Stability Preserving General Linear Methods
Journal of Scientific Computing, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giuseppe Izzo, Zdzislaw Jackiewicz
+7 more sources
Strong Stability Preserving Runge–Kutta and Linear Multistep Methods
AbstractThis paper reviews strong stability preserving discrete variable methods for differential systems. The strong stability preserving Runge–Kutta methods have been usually investigated in the literature on the subject, using the so-called Shu–Osher representation of these methods, as a convex combination of first-order steps by forward Euler ...
Zdzislaw Jackiewicz +2 more
exaly +3 more sources
High Order Strong Stability Preserving Time Discretizations
Journal of Scientific Computing, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chi-Wang Shu +2 more
exaly +3 more sources

