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200 10$aHamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications $eCetraro, Italy 2011, Editors: Paola Loreti, Nicoletta Anna Tchou /$fby Yves Achdou, Guy Barles, Hitoshi Ishii, Grigory L. Litvinov
205   $a1st ed. 2013.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2013.
215   $a1 online resource (XV, 301 p. 11 illus., 2 illus. in color.) 
225 1 $aC.I.M.E. Foundation Subseries ;$v2074
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-642-36432-2 
327   $aFinite Difference Methods For Mean Field Games -- An Introduction to the Theory of Viscosity Solutions for First-Order Hamilton-Jacobi Equations and Applications -- A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton-Jacobi Equations -- Idempotent/Tropical Analysis, the Hamilton-Jacobi and Bellman Equations.
330   $aThese Lecture Notes contain the material relative to the courses given at the CIME summer school held in Cetraro, Italy from August 29 to September 3, 2011. The topic was "Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications". The courses dealt mostly with the following subjects: first order and second order Hamilton-Jacobi-Bellman equations, properties of viscosity solutions, asymptotic behaviors, mean field games, approximation and numerical methods, idempotent analysis. The content of the courses ranged from an introduction to viscosity solutions to quite advanced topics, at the cutting edge of research in the field. We believe that they opened perspectives on new and delicate issues. These lecture notes contain four contributions by Yves Achdou (Finite Difference Methods for Mean Field Games), Guy Barles (An Introduction to the Theory of Viscosity Solutions for First-order Hamilton-Jacobi Equations and Applications), Hitoshi Ishii (A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton-Jacobi Equations) and Grigory Litvinov (Idempotent/Tropical Analysis, the Hamilton-Jacobi and Bellman Equations).
410  0$aC.I.M.E. Foundation Subseries ;$v2074
606   $aMathematical optimization
606   $aCalculus of variations
606   $aDifferential equations
606   $aMathematics?Data processing
606   $aGame theory
606   $aDynamics
606   $aDifference equations
606   $aFunctional equations
606   $aCalculus of Variations and Optimization
606   $aDifferential Equations
606   $aComputational Mathematics and Numerical Analysis
606   $aGame Theory
606   $aDynamical Systems
606   $aDifference and Functional Equations
615  0$aMathematical optimization.
615  0$aCalculus of variations.
615  0$aDifferential equations.
615  0$aMathematics?Data processing.
615  0$aGame theory.
615  0$aDynamics.
615  0$aDifference equations.
615  0$aFunctional equations.
615 14$aCalculus of Variations and Optimization.
615 24$aDifferential Equations.
615 24$aComputational Mathematics and Numerical Analysis.
615 24$aGame Theory.
615 24$aDynamical Systems.
615 24$aDifference and Functional Equations.
676   $a515.64
700   $aAchdou$b Yves$4aut$4http://id.loc.gov/vocabulary/relators/aut$0479691
702   $aBarles$b Guy$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aIshii$b Hitoshi$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aLitvinov$b Grigory L$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910438139803321
996   $aHamilton-Jacobi equations: approximations, numerical analysis and applications$9258680
997   $aUNINA