03117nam 2200637 a 450 991046132240332120200520144314.01-283-14832-39786613148322981-4289-27-2(CKB)2670000000095527(EBL)737615(OCoLC)733048132(SSID)ssj0000525922(PQKBManifestationID)12186793(PQKBTitleCode)TC0000525922(PQKBWorkID)10508701(PQKB)10697983(MiAaPQ)EBC737615(WSP)00007498(Au-PeEL)EBL737615(CaPaEBR)ebr10479900(CaONFJC)MIL314832(EXLCZ)99267000000009552720101215d2011 uy 0engur|n|---|||||txtccrStrong stability preserving Runge-Kutta and multistep time discretizations[electronic resource] /Sigal Gottlieb, David Ketcheson, Chi-Wang ShuHackensack, N.J. World Scientificc20111 online resource (189 p.)Description based upon print version of record.981-4289-26-4 Includes bibliographical references and index.Preface; Contents; 1. Overview: The Development of SSP Methods; 2. Strong Stability Preserving Explicit Runge-Kutta Methods; 3. The SSP Coe cient for Runge-Kutta Methods; 4. SSP Runge-Kutta Methods for Linear Constant Coefficient Problems; 5. Bounds and Barriers for SSP Runge-Kutta Methods; 6. Low Storage Optimal Explicit SSP Runge-Kutta Methods; 7. Optimal Implicit SSP Runge-Kutta Methods; 8. SSP Properties of Linear Multistep Methods; 9. SSP Properties of Multistep Multi-Stage Methods; 10. Downwinding; 11. Applications; Bibliography; IndexThis 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 presenRunge-Kutta formulasDifferential equationsNumerical solutionsStabilityElectronic books.Runge-Kutta formulas.Differential equationsNumerical solutions.Stability.518/.6Gottlieb Sigal870544Ketcheson David I870545Shu Chi-Wang21813MiAaPQMiAaPQMiAaPQBOOK9910461322403321Strong stability preserving Runge-Kutta and multistep time discretizations1943402UNINA