LEADER 03604nam 22006255 450 001 9910799229603321 005 20251209132409.0 010 $a9789819966868 010 $a9819966868 024 7 $a10.1007/978-981-99-6686-8 035 $a(PPN)275428095 035 $a(CKB)29527071100041 035 $a(DE-He213)978-981-99-6686-8 035 $a(MiAaPQ)EBC31094194 035 $a(Au-PeEL)EBL31094194 035 $a(EXLCZ)9929527071100041 100 $a20240104d2023 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNumerical Approximations of Stochastic Maxwell Equations $evia Structure-Preserving Algorithms /$fby Chuchu Chen, Jialin Hong, Lihai Ji 205 $a1st ed. 2023. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2023. 215 $a1 online resource (XVII, 284 p. 1 illus.) 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v2341 311 08$a9789819966851 320 $aIncludes bibliographical references. 327 $aIntroduction -- 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. 330 $aThe stochastic Maxwell equations play an essential role in many fields, including fluctuational electrodynamics, statistical radiophysics, integrated circuits, and stochastic inverse problems. This book provides some recent advances in the investigation of numerical approximations of the stochastic Maxwell equations via structure-preserving algorithms. It presents an accessible overview of the construction and analysis of structure-preserving algorithms with an emphasis on the preservation of geometric structures, physical properties, and asymptotic behaviors of the stochastic Maxwell equations. A friendly introduction to the simulation of the stochastic Maxwell equations with some structure-preserving algorithms is provided using MATLAB for the reader?s convenience. The objects considered in this book are related to several fascinating mathematical fields: numerical analysis, stochastic analysis, (multi-)symplectic geometry, large deviations principle, ergodic theory, partial differential equation, probability theory, etc. This book will appeal to researchers who are interested in these topics. 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v2341 606 $aNumerical analysis 606 $aProbabilities 606 $aDifferential equations 606 $aNumerical Analysis 606 $aProbability Theory 606 $aDifferential Equations 615 0$aNumerical analysis. 615 0$aProbabilities. 615 0$aDifferential equations. 615 14$aNumerical Analysis. 615 24$aProbability Theory. 615 24$aDifferential Equations. 676 $a381 700 $aChen$b Chuchu$01461636 702 $aHong$b Jialin 702 $aJi$b Lihai 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910799229603321 996 $aNumerical Approximations of Stochastic Maxwell Equations$93877422 997 $aUNINA