國立虎尾科技大學 |

PDE models for multi-agent phenomena

Record Type:	Language materials, printed : Monograph/item
Title/Author:	PDE models for multi-agent phenomena/ edited by Pierre Cardaliaguet, Alessio Porretta, Francesco Salvarani.
other author:	Cardaliaguet, Pierre.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xi, 218 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Computer simulation - Congresses. -
Online resource:	https://doi.org/10.1007/978-3-030-01947-1
ISBN:	9783030019471

PDE models for multi-agent phenomena
PDE models for multi-agent phenomena[electronic resource] /edited by Pierre Cardaliaguet, Alessio Porretta, Francesco Salvarani. - Cham :Springer International Publishing :2018. - xi, 218 p. :ill., digital ;24 cm. - Springer INdAM series,v.282281-518X ;. - Springer INdAM series ;v.6..

1 Martino Bardi and Marco Cirant, Uniqueness of solutions in Mean Field Games with several populations and Neumann conditions -- 2 Simone Cacace and Fabio Camilli, Finite difference methods for Mean Field Games systems -- 3 Piermarco Cannarsa and Rossana Capuani, Existence and uniqueness for Mean Field Games with state constraints -- 4 Adriano Festa, Diogo A. Gomes and Roberto M. Velho, An adjoint-based approach for a class of nonlinear Fokker-Planck equations and related systems -- 5 P. Jameson Graber and Charafeddine Mouzouni, Variational mean field games for market competition -- 6 Maria Gualdani and Nicola Zamponi, A review for an isotropic Landau model -- 7 Mikaela Iacobelli, A gradient flow perspective on the quantization problem -- 8 Edgard A. Pimentel and Makson S. Santos, Asymptotic methods in regularity theory for nonlinear elliptic equations: a survey -- 9 Elisabetta Carlini and Francisco J. Silva, A fully-discrete scheme for systems of nonlinear Fokker-Planck-Kolmogorov equations.

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.

ISBN: 9783030019471

Standard No.: 10.1007/978-3-030-01947-1doiSubjects--Topical Terms:

674644
Computer simulation
--Congresses.

LC Class. No.: QA76.9.C65 / P346 2018

Dewey Class. No.: 003.3

PDE models for multi-agent phenomena
LDR:03142nam a2200337 a 4500 001 930586
003 DE-He213
005 20190513102254.0
006 m d
007 cr nn 008maaau
008 190627s2018 gw s 0 eng d
020 $a 9783030019471 $q (electronic bk.)
020 $a 9783030019464 $q (paper)
024 7 $a 10.1007/978-3-030-01947-1 $2 doi
035 $a 978-3-030-01947-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA76.9.C65 $b P346 2018
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 003.3 $2 23
090 $a QA76.9.C65 $b P348 2018
245 0 0 $a PDE models for multi-agent phenomena $h [electronic resource] / $c edited by Pierre Cardaliaguet, Alessio Porretta, Francesco Salvarani.
260 $a Cham : $c 2018. $b Springer International Publishing : $b Imprint: Springer,
300 $a xi, 218 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer INdAM series, $x 2281-518X ; $v v.28
505 0 $a 1 Martino Bardi and Marco Cirant, Uniqueness of solutions in Mean Field Games with several populations and Neumann conditions -- 2 Simone Cacace and Fabio Camilli, Finite difference methods for Mean Field Games systems -- 3 Piermarco Cannarsa and Rossana Capuani, Existence and uniqueness for Mean Field Games with state constraints -- 4 Adriano Festa, Diogo A. Gomes and Roberto M. Velho, An adjoint-based approach for a class of nonlinear Fokker-Planck equations and related systems -- 5 P. Jameson Graber and Charafeddine Mouzouni, Variational mean field games for market competition -- 6 Maria Gualdani and Nicola Zamponi, A review for an isotropic Landau model -- 7 Mikaela Iacobelli, A gradient flow perspective on the quantization problem -- 8 Edgard A. Pimentel and Makson S. Santos, Asymptotic methods in regularity theory for nonlinear elliptic equations: a survey -- 9 Elisabetta Carlini and Francisco J. Silva, A fully-discrete scheme for systems of nonlinear Fokker-Planck-Kolmogorov equations.
520 $a 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.
650 0 $a Computer simulation $v Congresses. $3 674644 $3 731092
650 0 $a Mathematical models $v Congresses. $3 678220 $3 742907
650 1 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Computational Social Sciences. $3 1141127
650 2 4 $a Mathematical Modeling and Industrial Mathematics. $3 669172
700 1 $a Cardaliaguet, Pierre. $3 883325
700 1 $a Porretta, Alessio. $3 1211839
700 1 $a Salvarani, Francesco. $3 1211840
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Springer INdAM series ; $v v.6. $3 1025170
856 4 0 $u https://doi.org/10.1007/978-3-030-01947-1
950 $a Mathematics and Statistics (Springer-11649)