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Strong Stability Preserving Runge-Kutta and Multistep Time Discretizations
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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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World Scientific Publishing Company; January 2011
189 pages; ISBN 9789814289276
Read online, or download in secure PDF format
189 pages; ISBN 9789814289276
Read online, or download in secure PDF format
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9789814289269
9789814289276
9814289272