Strong stability preserving Runge-Kutta and multistep time discretizations

This 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...

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Hlavní autori: Gottlieb, Sigal, Ketcheson, David, Shu, Chi-Wang
Médium: E-kniha Kniha
Jazyk:English
Vydavateľské údaje: Singapore World Scientific Publishing Co. Pte. Ltd 2011
World Scientific
World Scientific Publishing Company
WORLD SCIENTIFIC
WSPC
Vydanie:1
Predmet:
Differential equations
Differential equations > Numerical solutions
Numerical & Computational Mathematics
Runge-Kutta formulas
Stability
Strong Stability Preserving
SSP Time Stepping Methods
Time Discretizations
Runge-Kutta Methods
Implicit Explicit Methods
Multi-Step Multi-Stage Methods
Hyperbolic PDEs
Multi-Step Methods
General Linear Methods
Downwinding
ISBN:9814289264, 9789814289269
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Popis
Shrnutí:This 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 require the use of these methods and demonstrates the efficiency of these methods using a variety of numerical examples. Another valuable feature of this book is that it collects the most useful SSP methods, both explicit and implicit, and presents the other properties of these methods which make them desirable (such as low storage, small error coefficients, large linear stability domains). This book is valuable for both researchers studying the field of time-discretizations for PDEs, and the users of such methods.
Bibliografia:Includes bibliographical references (p. 167-173) and index
ISBN:9814289264
9789814289269
DOI:10.1142/7498