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100   $a20121227d2000      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aLattice-Gas Cellular Automata and Lattice Boltzmann Models $eAn Introduction /$fby Dieter A. Wolf-Gladrow
205   $a1st ed. 2000.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2000.
215   $a1 online resource (X, 314 p.)
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1725
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-66973-6 
320   $aIncludes bibliographical references (pages [275]-308) and index.
327   $aFrom the contents: Introduction: Preface; Overview -- The basic idea of lattice-gas cellular automata and lattice Boltzmann models. Cellular Automata: What are cellular automata?- A short history of cellular automata -- One-dimensional cellular automata -- Two-dimensional cellular automata -- Lattice-gas cellular automata: The HPP lattice-gas cellular automata -- The FHP lattice-gas cellular automata -- Lattice tensors and isotropy in the macroscopic limit -- Desperately seeking a lattice for simulations in three dimensions -- 5 FCHC -- The pair interaction (PI) lattice-gas cellular automata -- Multi-speed and thermal lattice-gas cellular automata -- Zanetti (staggered) invariants -- Lattice-gas cellular automata: What else? Some statistical mechanics: The Boltzmann equation -- Chapman-Enskog: From Boltzmann to Navier-Stokes -- The maximum entropy principle. Lattice Boltzmann Models: .... Appendix.
330   $aLattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new and promising methods for the numerical solution of nonlinear partial differential equations. The book provides an introduction for graduate students and researchers. Working knowledge of calculus is required and experience in PDEs and fluid dynamics is recommended. Some peculiarities of cellular automata are outlined in Chapter 2. The properties of various LGCA and special coding techniques are discussed in Chapter 3. Concepts from statistical mechanics (Chapter 4) provide the necessary theoretical background for LGCA and LBM. The properties of lattice Boltzmann models and a method for their construction are presented in Chapter 5.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1725
606   $aMathematical analysis
606   $aAnalysis (Mathematics)
606   $aLogic, Symbolic and mathematical
606   $aGlobal analysis (Mathematics)
606   $aManifolds (Mathematics)
606   $aNumerical analysis
606   $aApplied mathematics
606   $aEngineering mathematics
606   $aMechanics
606   $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007
606   $aMathematical Logic and Foundations$3https://scigraph.springernature.com/ontologies/product-market-codes/M24005
606   $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
606   $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006
606   $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018
615  0$aMathematical analysis.
615  0$aAnalysis (Mathematics).
615  0$aLogic, Symbolic and mathematical.
615  0$aGlobal analysis (Mathematics)
615  0$aManifolds (Mathematics)
615  0$aNumerical analysis.
615  0$aApplied mathematics.
615  0$aEngineering mathematics.
615  0$aMechanics.
615 14$aAnalysis.
615 24$aMathematical Logic and Foundations.
615 24$aGlobal Analysis and Analysis on Manifolds.
615 24$aNumerical Analysis.
615 24$aMathematical and Computational Engineering.
615 24$aClassical Mechanics.
676   $a510
686   $a65M99$2msc
686   $a35C35$2msc
686   $a35Q30$2msc
700   $aWolf-Gladrow$b Dieter A$4aut$4http://id.loc.gov/vocabulary/relators/aut$065509
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910144900003321
996   $aLattice-gas cellular automata and lattice Boltzmann models$978808
997   $aUNINA