عنوان

PDE models for multi-agent phenomena /

شابک

3030019462

شابک

3030019470

شابک

9783030019464

شابک

9783030019471

شابک اشتباه

9783030019464

عنوان اصلي

PDE models for multi-agent phenomena /

نام عام مواد

[Book]

نام نخستين پديدآور

editors Pierre Cardaliaguet, Alessio Porretta and Francesco Salvarani.

محل نشرو پخش و غیره

Cham :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2018.

نام خاص و کميت اثر

1 online resource

عنوان فروست

Springer INdAM series ;

مشخصه جلد

volume 28

متن يادداشت

Includes bibliographical references.

متن يادداشت

Intro; Preface; Contents; About the Editors; Uniqueness of Solutions in Mean Field Games with Several Populations and Neumann Conditions; 1 Introduction; 2 The Uniqueness Theorem; 2.1 The Main Result; 2.2 Examples and Remarks; 3 Special Cases and Applications; 3.1 Well-Posedness of Segregation Models; 3.2 Well-Posedness of Robust Mean Field Games; Appendix: A Comparison Principle; References; Finite Difference Methods for Mean Field Games Systems; 1 Introduction; 2 A Finite Difference Scheme for Mean Field Games on the Torus; 2.1 Convergence for V Nonlocal Operator

متن يادداشت

2.2 Convergence for V Local Operator3 Mean Field Games on Networks; 3.1 Networks and Functional Spaces; 3.2 A Formal Derivation of the MFG System on a Network; 3.3 A Finite Difference Scheme for Mean Field Games on Networks; 3.4 Existence, Uniqueness and Convergence of the Numerical Scheme; 4 A Quasi-Newton Method for Stationary Mean Field Games; 4.1 MFG in Euclidean Spaces; 4.2 Multi-Population MFG in Euclidean Spaces; 4.3 MFG on Networks; References; Existence and Uniqueness for Mean Field Games with StateConstraints; 1 Introduction; 2 Preliminaries; 2.1 Notation

متن يادداشت

2.2 Results from Measure Theory3 Constrained MFG Equilibria; 3.1 Approximation of Constrained Trajectories; 3.2 Assumptions; 3.3 Existence of Constrained MFG Equilibria; 3.4 Proof of Theorem 3.1; 4 Mild Solution of the Constrained MFG Problem; References; An Adjoint-Based Approach for a Class of Nonlinear Fokker-Planck Equations and Related Systems; 1 Introduction; 2 Adjoint Structure; 2.1 Linearization and Duality; 2.2 Boundary Conditions; 3 Properties; 4 Numerical Approach; 4.1 Finite Differences; 4.2 Semi-Lagrangian Scheme; 5 Applications to Systems of PDEs

متن يادداشت

5.1 Example: Hughes Model in 1-D5.2 Example: 1-D Forward-Forward Mean-Field Games; 5.3 Example: Hughes Model in 2-D; 6 Conclusions; References; Variational Mean Field Games for Market Competition; 1 Introduction; 1.1 Explanation of the Model; 1.2 Notation and Assumptions; 2 Analysis of the System; 2.1 Uniqueness Revisited for the Model of Chan and Sircar; 3 Optimal Control of Fokker-Planck Equation; 4 First-Order Case; References; A Review for an Isotropic Landau Model; 1 Introduction; 1.1 The Isotropic Landau Equation; 1.2 Conserved Quantities and Entropy Structure

بدون عنوان

0

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

متن يادداشت

This volume covers selected topics addressed and discussed during the workshop "PDE models for multi-agent phenomena," which was held in Rome, Italy, from November 28th to December 2nd, 2016. The content mainly focuses on kinetic equations and mean field games, which provide a solid framework for the description of multi-agent phenomena. The book includes original contributions on the theoretical and numerical study of the MFG system: the uniqueness issue and finite difference methods for the MFG system, MFG with state constraints, and application of MFG to market competition. The book also presents new contributions on the analysis and numerical approximation of the Fokker-Planck-Kolmogorov equations, the isotropic Landau model, the dynamical approach to the quantization problem and the asymptotic methods for fully nonlinear elliptic equations. Chiefly intended for researchers interested in the mathematical modeling of collective phenomena, the book provides an essential overview of recent advances in the field and outlines future research directions.--

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783030019471

شماره استاندارد بين المللي کتاب و موسيقي

9783030019464

شماره استاندارد بين المللي کتاب و موسيقي

9783030019488

موضوع مستند نشده

Computer simulation, Congresses.

موضوع مستند نشده

Mathematical models, Congresses.

موضوع مستند نشده

Computer simulation.

موضوع مستند نشده

Mathematical models.

موضوع مستند نشده

SCIENCE-- System Theory.

موضوع مستند نشده

TECHNOLOGY & ENGINEERING-- Operations Research.

موضوع مستند نشده

PBKJ

موضوع مستند نشده

PBKJ

موضوع مستند نشده

SCI-- 064000

موضوع مستند نشده

TEC-- 029000

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Cardaliaguet, Pierre

مستند نام اشخاص تاييد نشده

Porretta, Alessio

مستند نام اشخاص تاييد نشده

Salvarani, Francesco

تاريخ عمليات

20200823073625.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y