Grigory Mikhalkin's Books

Tropical Algebraic Geometry

By: Ilia Itenberg,Grigory Mikhalkin,Eugenii I. Shustin

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Tropical Algebraic Geometry

By: Ilia Itenberg,Grigory Mikhalkin,Eugenii I. Shustin

These notes present a polished introduction to tropical geometry and contain some applications of this rapidly developing and attractive subject. It consists of three chapters which complete each other and give a possibility for non-specialists to make the first steps in the subject which is not yet well represented in the literature. The notes are based on a seminar at the Mathematical Research Center in Oberwolfach in October 2004. The intended audience is graduate, post-graduate, and Ph.D. students as well as established researchers in mathematics.

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Page Count

113

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3034600488

ISBN 13

9783034600484

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

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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

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).

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Page Count

316

Publisher

Springer

Published Date

ISBN 10

3642364330

ISBN 13

9783642364334

Tropical Algebraic Geometry

By: Ilia Itenberg,Grigory Mikhalkin,Eugenii I. Shustin

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Tropical Algebraic Geometry

By: Ilia Itenberg,Grigory Mikhalkin,Eugenii I. Shustin

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

113

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3034600488

ISBN 13

9783034600484

Book's by Grigory Mikhalkin

Tropical Algebraic Geometry

Tropical Algebraic Geometry

Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications

Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications

Tropical Algebraic Geometry

Tropical Algebraic Geometry

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