Strong stability preserving Runge–Kutta and multistep time discretizations

Sigal Gottlieb, David Isaac Ketcheson, Chi Wang Shu

Research output: Book/ReportBookpeer-review

195 Scopus citations

Abstract

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.

Original languageEnglish (US)
PublisherWorld Scientific Publishing Co.
Number of pages176
ISBN (Electronic)9789814289276
ISBN (Print)9789814289269
DOIs
StatePublished - Jan 1 2011

ASJC Scopus subject areas

  • Computer Science(all)
  • Mathematics(all)

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