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020 _a9783642364334
_9978-3-642-36433-4
024 7 _a10.1007/978-3-642-36433-4
_2doi
050 4 _aQA315-316
050 4 _aQA402.3
050 4 _aQA402.5-QA402.6
072 7 _aPBKQ
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072 7 _aMAT005000
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072 7 _aMAT029020
_2bisacsh
082 0 4 _a515.64
_223
100 1 _aAchdou, Yves.
_eauthor.
245 1 0 _aHamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications
_h[electronic resource] :
_bCetraro, Italy 2011, Editors: Paola Loreti, Nicoletta Anna Tchou /
_cby Yves Achdou, Guy Barles, Hitoshi Ishii, Grigory L. Litvinov.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _aXV, 301 p. 11 illus., 2 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2074
505 0 _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.
520 _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).
650 0 _aMathematics.
650 0 _aFunctional equations.
650 0 _aDifferentiable dynamical systems.
650 0 _aDifferential equations, partial.
650 0 _aComputer science
_xMathematics.
650 0 _aMathematical optimization.
650 1 4 _aMathematics.
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
650 2 4 _aPartial Differential Equations.
650 2 4 _aComputational Mathematics and Numerical Analysis.
650 2 4 _aGame Theory, Economics, Social and Behav. Sciences.
650 2 4 _aDynamical Systems and Ergodic Theory.
650 2 4 _aDifference and Functional Equations.
700 1 _aBarles, Guy.
_eauthor.
700 1 _aIshii, Hitoshi.
_eauthor.
700 1 _aLitvinov, Grigory L.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642364327
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2074
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-36433-4
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c6993
_d6993