HamiltonJacobi equations : approximations, numerical analysis and applications : Cetraro, Italy 2011
 Meeting
 C.I.M.E. Summer School (2011 : Cetraro, Italy)
 Language
 English.
 Publication
 Heidelberg ; New York : Springer, [2013]
 Copyright notice
 © 2013
 Physical description
 xv, 301 pages : illustrations (some color) ; 24 cm
 Series
 Lecture notes in mathematics (SpringerVerlag) 2074.
Access
Available online

Stacks

Unknown
QA3 .L28 V.2074

Unknown
QA3 .L28 V.2074
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Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 Finite difference methods for mean field games / Yves Achdou
 An introduction to the theory of viscosity solutions for firstorder HamiltonJacobi equations and applications / Guy Barles
 A short introduction to viscosity solutions and the large time behavior of solutions of HamiltonJacobi equations / Hitoshi Ishii
 Idempotent/tropical analysis, the HamiltonJacobi and Bellman equations / Grigory L. Litvinov.
 Publisher's Summary
 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 "HamiltonJacobi Equations: Approximations, Numerical Analysis and Applications". The courses dealt mostly with the following subjects: first order and second order HamiltonJacobiBellman 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 Firstorder HamiltonJacobi Equations and Applications), Hitoshi Ishii (A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of HamiltonJacobi Equations) and Grigory Litvinov (Idempotent/Tropical Analysis, the HamiltonJacobi and Bellman Equations).
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2013
 Responsibility
 Yves Achdou, Guy Barles, Hitoshi Ishii, Grigory L. Litvinov ; editors: Paola Loreti, Nicoletta Anna Tchou.
 Series
 Lecture notes in mathematics, 00758434 ; 2074
 Note
 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.
 ISBN
 9783642364327
 3642364322
 9783642364334
 3642364330