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＜E-Book＞
Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications : Cetraro, Italy 2011, Editors: Paola Loreti, Nicoletta Anna Tchou / by Yves Achdou, Guy Barles, Hitoshi Ishii, Grigory L. Litvinov
(C.I.M.E. Foundation Subseries. ISSN:29461820 ; 2074)

Edition	1st ed. 2013.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2013
Language	English
Size	XV, 301 p. 11 illus., 2 illus. in color : online resource
Authors	*Achdou, Yves author Barles, Guy author Ishii, Hitoshi author Litvinov, Grigory L author SpringerLink (Online service)
Subjects	LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Differential equations LCSH:Mathematics -- Data processing  All Subject Search LCSH:Game theory LCSH:Dynamical systems LCSH:Difference equations LCSH:Functional equations FREE:Calculus of Variations and Optimization FREE:Differential Equations FREE:Computational Mathematics and Numerical Analysis FREE:Game Theory FREE:Dynamical Systems FREE:Difference and Functional Equations
Notes	Finite 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 These 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) HTTP:URL=https://doi.org/10.1007/978-3-642-36433-4

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