02580nam 2200577 450 99646653020331620220909120322.03-540-38842-710.1007/BFb0082094(CKB)1000000000437504(SSID)ssj0000325601(PQKBManifestationID)12072408(PQKBTitleCode)TC0000325601(PQKBWorkID)10325252(PQKB)11226618(DE-He213)978-3-540-38842-5(MiAaPQ)EBC5595756(Au-PeEL)EBL5595756(OCoLC)1076233438(MiAaPQ)EBC6842441(Au-PeEL)EBL6842441(PPN)155163876(EXLCZ)99100000000043750420220909d1988 uy 0engurnn|008mamaatxtccrPeriods of Hecke characters /Norbert Schappacher1st ed. 1988.Berlin, Germany :Springer,[1988]©19881 online resource (XVIII, 162 p.) Lecture Notes in Mathematics,0075-8434 ;1301Bibliographic Level Mode of Issuance: Monograph3-540-18915-7 Algebraic hecke characters -- Motives for algebraic hecke characters -- The periods of algebraic hecke characters -- Elliptic integrals and the gamma function -- Abelian integrals with complex multiplication -- Motives of CM modular forms.The starting point of this Lecture Notes volume is Deligne's theorem about absolute Hodge cycles on abelian varieties. Its applications to the theory of motives with complex multiplication are systematically reviewed. In particular, algebraic relations between values of the gamma function, the so-called formula of Chowla and Selberg and its generalization and Shimura's monomial relations among periods of CM abelian varieties are all presented in a unified way, namely as the analytic reflections of arithmetic identities beetween Hecke characters, with gamma values corresponding to Jacobi sums. The last chapter contains a special case in which Deligne's theorem does not apply.Lecture Notes in Mathematics,0075-8434 ;1301Multiplication, ComplexMultiplication, Complex.512.7Schappacher Norbert58449MiAaPQMiAaPQMiAaPQBOOK996466530203316Periods of Hecke characters78602UNISA05076nam 22009015 450 991014490000332120211206214221.03-540-46586-310.1007/b72010(CKB)1000000000234882(SSID)ssj0000324337(PQKBManifestationID)11912680(PQKBTitleCode)TC0000324337(PQKBWorkID)10313412(PQKB)11516106(DE-He213)978-3-540-46586-7(MiAaPQ)EBC5595819(PPN)155176706(EXLCZ)99100000000023488220121227d2000 u| 0engurnn#008mamaatxtccrLattice-Gas Cellular Automata and Lattice Boltzmann Models An Introduction /by Dieter A. Wolf-Gladrow1st ed. 2000.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2000.1 online resource (X, 314 p.)Lecture Notes in Mathematics,0075-8434 ;1725Bibliographic Level Mode of Issuance: Monograph3-540-66973-6 Includes bibliographical references (pages [275]-308) and index.From 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.Lattice-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.Lecture Notes in Mathematics,0075-8434 ;1725Mathematical analysisAnalysis (Mathematics)Logic, Symbolic and mathematicalGlobal analysis (Mathematics)Manifolds (Mathematics)Numerical analysisApplied mathematicsEngineering mathematicsMechanicsAnalysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12007Mathematical Logic and Foundationshttps://scigraph.springernature.com/ontologies/product-market-codes/M24005Global Analysis and Analysis on Manifoldshttps://scigraph.springernature.com/ontologies/product-market-codes/M12082Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Mathematical and Computational Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T11006Classical Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21018Mathematical analysis.Analysis (Mathematics).Logic, Symbolic and mathematical.Global analysis (Mathematics)Manifolds (Mathematics)Numerical analysis.Applied mathematics.Engineering mathematics.Mechanics.Analysis.Mathematical Logic and Foundations.Global Analysis and Analysis on Manifolds.Numerical Analysis.Mathematical and Computational Engineering.Classical Mechanics.51065M99msc35C35msc35Q30mscWolf-Gladrow Dieter Aauthttp://id.loc.gov/vocabulary/relators/aut65509MiAaPQMiAaPQMiAaPQBOOK9910144900003321Lattice-gas cellular automata and lattice Boltzmann models78808UNINA