TY - BOOK
T1 - Strong stability preserving Runge–Kutta and multistep time discretizations
AU - Gottlieb, Sigal
AU - Ketcheson, David
AU - Shu, Chi Wang
N1 - Publisher Copyright:
© 2011 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.
PY - 2011/1/1
Y1 - 2011/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84995414785&partnerID=8YFLogxK
U2 - 10.1142/7498
DO - 10.1142/7498
M3 - Book
AN - SCOPUS:84995414785
SN - 9789814289269
BT - Strong stability preserving Runge–Kutta and multistep time discretizations
PB - World Scientific Publishing Co.
ER -