LEADER 03480nam 22006015 450 001 9910483018403321 005 20200713170143.0 010 $a3-662-47448-4 024 7 $a10.1007/978-3-662-47448-8 035 $a(CKB)3710000000732181 035 $a(EBL)4560301 035 $a(OCoLC)952248067 035 $a(DE-He213)978-3-662-47448-8 035 $a(MiAaPQ)EBC4560301 035 $a(PPN)194376168 035 $a(EXLCZ)993710000000732181 100 $a20160617d2016 u| 0 101 0 $ager 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematische Algorithmen und Computer-Performance kompakt /$fvon Wolfgang W. Osterhage 205 $a1st ed. 2016. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer Vieweg,$d2016. 215 $a1 online resource (90 p.) 225 1 $aIT kompakt,$x2195-3651 300 $aDescription based upon print version of record. 311 $a3-662-47447-6 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aEinleitung -- Computer-Performance -- Sprungtransfomationen -- n-Tupel Transformationen -- Willkürliche Trigger -- Anwendungen -- Effizienz und Genauigkeit -- Rechenökonomie.-- Erhaltungszahlen -- Beziehungen -- Verkettungen -- Logik -- Anwendungen -- Appendix: Funktionen. 330 $aIn diesem Buch geht es in Bezug auf Computer-Performance um grundsätzliche Verbesserungen von Voraussetzungen. Neben allgemeinen Überlegungen zur Performance werden zwei neue Ansätze vorgestellt. Der erste Ansatz zielt auf eine veränderte Architektur des Memorys mit dem Ziel einer überlappenden, nicht-interferierenden (virtuellen) Adressierung mit der Möglichkeit, Teile des Adressraumes zu swappen. Dieser Ansatz wird erreicht durch neu entwickelte Sprungfunktionen bzw. Sprungtransformationen zwischen verschiedenen Symbolräumen. Als Nebenprodukte können diese Transformationen eingesetzt werden in der Kryptografie und in der Computergrafik. Der zweite Ansatz beschäftigt sich mit Effizienz (efficiency) und Genauigkeit (accuracy) in technisch-wissenschaftlichen Berechnungen mittels aufwendiger Computerprogramme und zielt auf die Optimierung von Rechenzeiten. . 410 0$aIT kompakt,$x2195-3651 606 $aComputer software?Reusability 606 $aAlgorithms 606 $aComputer science?Mathematics 606 $aComputer mathematics 606 $aPerformance and Reliability$3https://scigraph.springernature.com/ontologies/product-market-codes/I12077 606 $aAlgorithm Analysis and Problem Complexity$3https://scigraph.springernature.com/ontologies/product-market-codes/I16021 606 $aMathematical Applications in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M13110 615 0$aComputer software?Reusability. 615 0$aAlgorithms. 615 0$aComputer science?Mathematics. 615 0$aComputer mathematics. 615 14$aPerformance and Reliability. 615 24$aAlgorithm Analysis and Problem Complexity. 615 24$aMathematical Applications in Computer Science. 676 $a004 700 $aOsterhage$b Wolfgang W$4aut$4http://id.loc.gov/vocabulary/relators/aut$0835227 906 $aBOOK 912 $a9910483018403321 996 $aMathematische Algorithmen und Computer-Performance kompakt$92854392 997 $aUNINA LEADER 04968nam 22007094a 450 001 9910811462103321 005 20200520144314.0 010 $a1107112230 010 $a1280416750 010 $a9786610416752 010 $a0511176929 010 $a0511157800 010 $a0511304692 010 $a0511546793 010 $a0511091974 010 $a0511052847 035 $a(CKB)1000000000003660 035 $a(EBL)201531 035 $a(SSID)ssj0000171055 035 $a(PQKBManifestationID)11153581 035 $a(PQKBTitleCode)TC0000171055 035 $a(PQKBWorkID)10236325 035 $a(PQKB)10352473 035 $a(UkCbUP)CR9780511546792 035 $a(Au-PeEL)EBL201531 035 $a(CaPaEBR)ebr10032139 035 $a(CaONFJC)MIL41675 035 $a(OCoLC)56124178 035 $a(MiAaPQ)EBC201531 035 $a(PPN)261355392 035 $a(EXLCZ)991000000000003660 100 $a20011113d2002 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHigh-order methods for incompressible fluid flow /$fM.O. Deville, P.F. Fischer, E.H. Mund 205 $a1st ed. 210 $aCambridge, UK ;$aNew York $cCambridge University Press$d2002 215 $a1 online resource (xxvii, 499 pages) $cdigital, PDF file(s) 225 1 $aCambridge monographs on applied and computational mathematics ;$v9 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-511-03946-8 311 $a0-521-45309-7 320 $aIncludes bibliographical references (p. 467-487) and index. 327 $tFluid Mechanics and Computation: An Introduction --$tViscous Fluid Flows --$tMass Conservation --$tMomentum Equations --$tLinear Momentum --$tAngular Momentum --$tEnergy Conservation --$tThermodynamics and Constitutive Equations --$tFluid Flow Equations and Boundary Conditions --$tIsothermal Incompressible Flow --$tThermal Convection: The Boussinesq Approximation --$tBoundary and Initial Conditions --$tDimensional Analysis and Reduced Equations --$tVorticity Equation --$tSimplified Models --$tTurbulence and Challenges --$tNumerical Simulation --$tHardware Issues --$tSoftware Issues --$tAlgorithms --$tAdvantages of High-Order Methods --$tApproximation Methods for Elliptic Problems --$tVariational Form of Boundary-Value Problems --$tVariational Functionals --$tBoundary Conditions --$tSobolev Spaces and the Lax-Milgram Theorem --$tAn Approximation Framework --$tGalerkin Approximations --$tCollocation Approximation --$tFinite-Element Methods --$tThe h-Version of Finite Elements --$tThe p-Version of Finite Elements --$tSpectral-Element Methods --$tOrthogonal Collocation --$tOrthogonal Collocation in a Monodomain --$tOrthogonal Collocation in a Multidomain --$tError Estimation --$tSolution Techniques --$tThe Conditioning of a Matrix --$tBasic Iterative Methods --$tPreconditioning Schemes of High-Order Methods --$tIterative Methods Based on Projection --$tA Numerical Example --$tParabolic and Hyperbolic Problems --$tTime Discretization Schemes --$tLinear Multistep Methods --$tPredictor-Corrector Methods --$tRunge-Kutta Methods --$tSplitting Methods. 330 $aHigh-order numerical methods provide an efficient approach to simulating many physical problems. This book considers the range of mathematical, engineering, and computer science topics that form the foundation of high-order numerical methods for the simulation of incompressible fluid flows in complex domains. Introductory chapters present high-order spatial and temporal discretizations for one-dimensional problems. These are extended to multiple space dimensions with a detailed discussion of tensor-product forms, multi-domain methods, and preconditioners for iterative solution techniques. Numerous discretizations of the steady and unsteady Stokes and Navier-Stokes equations are presented, with particular attention given to enforcement of incompressibility. Advanced discretizations, implementation issues, and parallel and vector performance are considered in the closing sections. Numerous examples are provided throughout to illustrate the capabilities of high-order methods in actual applications. Computer scientists, engineers and applied mathematicians interested in developing software for solving flow problems will find this book a valuable reference. 410 0$aCambridge monographs on applied and computational mathematics ;$v9. 606 $aFluid dynamics 615 0$aFluid dynamics. 676 $a532/.051 700 $aDeville$b M. O$g(Michel O.)$01598614 701 $aFischer$b P. F$g(Paul F.)$0288147 701 $aMund$b E. H$g(Ernest H.)$0288149 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910811462103321 996 $aHigh-order methods for incompressible fluid flow$94185735 997 $aUNINA