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.
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