LEADER 03082nam 2200637 a 450 001 9910819606103321 005 20240516085344.0 010 $a1-283-14832-3 010 $a9786613148322 010 $a981-4289-27-2 035 $a(CKB)2670000000095527 035 $a(EBL)737615 035 $a(OCoLC)733048132 035 $a(SSID)ssj0000525922 035 $a(PQKBManifestationID)12186793 035 $a(PQKBTitleCode)TC0000525922 035 $a(PQKBWorkID)10508701 035 $a(PQKB)10697983 035 $a(MiAaPQ)EBC737615 035 $a(WSP)00007498 035 $a(Au-PeEL)EBL737615 035 $a(CaPaEBR)ebr10479900 035 $a(CaONFJC)MIL314832 035 $a(EXLCZ)992670000000095527 100 $a20101215d2011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aStrong stability preserving Runge-Kutta and multistep time discretizations /$fSigal Gottlieb, David Ketcheson, Chi-Wang Shu 205 $a1st ed. 210 $aHackensack, N.J. $cWorld Scientific$dc2011 215 $a1 online resource (189 p.) 300 $aDescription based upon print version of record. 311 $a981-4289-26-4 320 $aIncludes bibliographical references and index. 327 $aPreface; 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; Index 330 $aThis 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 presen 606 $aRunge-Kutta formulas 606 $aDifferential equations$xNumerical solutions 606 $aStability 615 0$aRunge-Kutta formulas. 615 0$aDifferential equations$xNumerical solutions. 615 0$aStability. 676 $a518/.6 700 $aGottlieb$b Sigal$01596011 701 $aKetcheson$b David I$01596012 701 $aShu$b Chi-Wang$021813 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910819606103321 996 $aStrong stability preserving Runge-Kutta and multistep time discretizations$93917176 997 $aUNINA