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Numerical approximations of stochast...

Chen, Chuchu.

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Numerical approximations of stochastic Maxwell equations = via structure-preserving algorithms /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Numerical approximations of stochastic Maxwell equations/ by Chuchu Chen, Jialin Hong, Lihai Ji.
Reminder of title:	via structure-preserving algorithms /
Author:	Chen, Chuchu.
other author:	Hong, Jialin.
Published:	Singapore :Springer Nature Singapore : : 2023.,
Description:	xvii, 284 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Solution Theory of Stochastic Maxwell Equations -- Intrinsic Properties of Stochastic Maxwell Equations -- Structure-Preserving Algorithms for Stochastic Maxwell Equations -- Convergence Analysis of Structure-Preserving Algorithms -- Implementation of Numerical Experiments -- Appendix A: Basic Identities and Inequalities -- Appendix B: Semigroup, Sobolev Space, and Differential Calculus -- Appendix C: Estimates Related to Maxwell Operators -- Appendix D: Some Results of Stochastic Partial Differential Equations -- References.
Contained By:	Springer Nature eBook
Subject:	Maxwell equations. -
Online resource:	https://doi.org/10.1007/978-981-99-6686-8
ISBN:	9789819966868

Numerical approximations of stochastic Maxwell equations = via structure-preserving algorithms /
Chen, Chuchu.

Numerical approximations of stochastic Maxwell equationsvia structure-preserving algorithms /[electronic resource] :by Chuchu Chen, Jialin Hong, Lihai Ji. - Singapore :Springer Nature Singapore :2023. - xvii, 284 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v. 23411617-9692 ;. - Lecture notes in mathematics ;v. 2341..

Introduction -- Solution Theory of Stochastic Maxwell Equations -- Intrinsic Properties of Stochastic Maxwell Equations -- Structure-Preserving Algorithms for Stochastic Maxwell Equations -- Convergence Analysis of Structure-Preserving Algorithms -- Implementation of Numerical Experiments -- Appendix A: Basic Identities and Inequalities -- Appendix B: Semigroup, Sobolev Space, and Differential Calculus -- Appendix C: Estimates Related to Maxwell Operators -- Appendix D: Some Results of Stochastic Partial Differential Equations -- References.

The stochastic Maxwell equations play an essential role in many fields, including fluctuational electrodynamics, statistical radiophysics, integrated circuits, and stochastic inverse problems. This book provides some recent advances in the investigation of numerical approximations of the stochastic Maxwell equations via structure-preserving algorithms. It presents an accessible overview of the construction and analysis of structure-preserving algorithms with an emphasis on the preservation of geometric structures, physical properties, and asymptotic behaviors of the stochastic Maxwell equations. A friendly introduction to the simulation of the stochastic Maxwell equations with some structure-preserving algorithms is provided using MATLAB for the reader's convenience. The objects considered in this book are related to several fascinating mathematical fields: numerical analysis, stochastic analysis, (multi-)symplectic geometry, large deviations principle, ergodic theory, partial differential equation, probability theory, etc. This book will appeal to researchers who are interested in these topics.

ISBN: 9789819966868

Standard No.: 10.1007/978-981-99-6686-8doiSubjects--Topical Terms:

546313
Maxwell equations.

LC Class. No.: QC670 / .C54 2023

Dewey Class. No.: 530.141

Numerical approximations of stochastic Maxwell equations = via structure-preserving algorithms /
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245 1 0 $a Numerical approximations of stochastic Maxwell equations $h [electronic resource] : $b via structure-preserving algorithms / $c by Chuchu Chen, Jialin Hong, Lihai Ji.
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490 1 $a Lecture notes in mathematics, $x 1617-9692 ; $v v. 2341
505 0 $a Introduction -- Solution Theory of Stochastic Maxwell Equations -- Intrinsic Properties of Stochastic Maxwell Equations -- Structure-Preserving Algorithms for Stochastic Maxwell Equations -- Convergence Analysis of Structure-Preserving Algorithms -- Implementation of Numerical Experiments -- Appendix A: Basic Identities and Inequalities -- Appendix B: Semigroup, Sobolev Space, and Differential Calculus -- Appendix C: Estimates Related to Maxwell Operators -- Appendix D: Some Results of Stochastic Partial Differential Equations -- References.
520 $a The stochastic Maxwell equations play an essential role in many fields, including fluctuational electrodynamics, statistical radiophysics, integrated circuits, and stochastic inverse problems. This book provides some recent advances in the investigation of numerical approximations of the stochastic Maxwell equations via structure-preserving algorithms. It presents an accessible overview of the construction and analysis of structure-preserving algorithms with an emphasis on the preservation of geometric structures, physical properties, and asymptotic behaviors of the stochastic Maxwell equations. A friendly introduction to the simulation of the stochastic Maxwell equations with some structure-preserving algorithms is provided using MATLAB for the reader's convenience. The objects considered in this book are related to several fascinating mathematical fields: numerical analysis, stochastic analysis, (multi-)symplectic geometry, large deviations principle, ergodic theory, partial differential equation, probability theory, etc. This book will appeal to researchers who are interested in these topics.
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650 2 4 $a Probability Theory. $3 3538789
650 2 4 $a Differential Equations. $3 907890
700 1 $a Hong, Jialin. $3 3503186
700 1 $a Ji, Lihai. $3 3756321
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