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A Polynomial Formulation of Adaptive Strong Stability Preserving Multistep Methods
SIAM Journal on Numerical Analysis, 2019The task of this paper is to develop a methodology that allows to formulate a given strong stability preserving multistep method as a variable step-size method. In particular, this is here done for time-dependent partial differential equations. The method is flexible to various step-size selection criteria and may be combined with traditional error ...
Mohammadi, Fatemeh +2 more
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Strong stability preserving general linear methods
AIP Conference Proceedings, 2023Giovanna Califano +2 more
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Representations of Runge--Kutta Methods and Strong Stability Preserving Methods
SIAM Journal on Numerical Analysis, 2005The Shu-Osher representation is a useful tool for the investigation of monotone high-order explicit Runge-Kutta methods. In the paper under review, this idea is extended to arbitrary Runge-Kutta methods. Particular attention is paid to the question of finding the optimal step size restriction.
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Strong Stability Preserving Hermite-Birkhoff Time Discretization Methods
2012The main goal of the thesis is to construct explicit, s-stage, strong-stability-preserving (SSP) Hermite–Birkhoff (HB) time discretization methods of order p with nonnegative coefficients for the integration of hyperbolic conservation laws. The Shu–Osher form and the canonical Shu–Osher form by means of the vector formulation for SSP Runge–Kutta (RK ...
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Strong Stability Preserving Runge-Kutta and Multistep Time Discretizations
2011This book captures the state-of-the-art in the field of Strong Stability Preserving (SSP) time stepping methods, which have significant advantages for the time evolution of partial differential equations describing a wide range of physical phenomena. This comprehensive book describes the development of SSP methods, explains the types of problems which ...
Sigal Gottlieb +2 more
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Strong stability preserving integrating factor Runge-Kutta methods
Strong stability preserving (SSP) Runge-Kutta methods are often desirable when evolving in time problems with components that have very different time scales. Where the SSP property is needed, it has been shown that implicit and implicit-explicit Runge-Kutta methods have very restrictive time steps and are therefore not efficient.openaire +1 more source
Strong Stability Preserving Transformed General Linear Methods
2019Giovanna Califano +2 more
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