TY  - BOOK
AU  - Achdou,Yves
AU  - Barles,Guy
AU  - Ishii,Hitoshi
AU  - Litvinov,Grigory L.
ED  - SpringerLink (Online service)
TI  - Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications: Cetraro, Italy 2011, Editors: Paola Loreti, Nicoletta Anna Tchou 
T2  - Lecture Notes in Mathematics,
SN  - 9783642364334
AV  - QA315-316 
U1  - 515.64 23
PY  - 2013///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg, Imprint: Springer
KW  - Mathematics
KW  - Functional equations
KW  - Differentiable dynamical systems
KW  - Differential equations, partial
KW  - Computer science
KW  - Mathematical optimization
KW  - Calculus of Variations and Optimal Control; Optimization
KW  - Partial Differential Equations
KW  - Computational Mathematics and Numerical Analysis
KW  - Game Theory, Economics, Social and Behav. Sciences
KW  - Dynamical Systems and Ergodic Theory
KW  - Difference and Functional Equations
N1  - 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
N2  - 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)
UR  - http://dx.doi.org/10.1007/978-3-642-36433-4
ER  -