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010   $a981-329-069-2
024 7 $a10.1007/978-981-32-9069-3
035   $a(CKB)4100000009076251
035   $a(DE-He213)978-981-32-9069-3
035   $a(MiAaPQ)EBC5919088
035   $a(PPN)240583337
035   $a(EXLCZ)994100000009076251
100   $a20190822d2019      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aInvariant Measures for Stochastic Nonlinear Schrödinger Equations $eNumerical Approximations and Symplectic Structures /$fby Jialin Hong, Xu Wang
205   $a1st ed. 2019.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2019.
215   $a1 online resource (XIV, 220 p. 14 illus., 13 illus. in color.) 
225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v2251
311 08$a981-329-068-4 
320   $aIncludes bibliographical references and index.
327   $aInvariant measures and ergodicity -- Invariant measures for stochastic differential equations -- Invariant measures for stochastic nonlinear Schrödinger equations -- Geometric structures and numerical schemes for nonlinear Schrödinger equations -- Numerical invariant measures for damped stochastic nonlinear Schrödinger equations -- Approximation of ergodic limit for conservative stochastic nonlinear Schrödinger equations.
330   $aThis book provides some recent advance in the study of stochastic nonlinear Schrödinger equations and their numerical approximations, including the well-posedness, ergodicity, symplecticity and multi-symplecticity. It gives an accessible overview of the existence and uniqueness of invariant measures for stochastic differential equations, introduces geometric structures including symplecticity and (conformal) multi-symplecticity for nonlinear Schrödinger equations and their numerical approximations, and studies the properties and convergence errors of numerical methods for stochastic nonlinear Schrödinger equations. This book will appeal to researchers who are interested in numerical analysis, stochastic analysis, ergodic theory, partial differential equation theory, etc.
410  0$aLecture Notes in Mathematics,$x1617-9692 ;$v2251
606   $aProbabilities
606   $aNumerical analysis
606   $aDynamical systems
606   $aDifferential equations
606   $aProbability Theory
606   $aNumerical Analysis
606   $aDynamical Systems
606   $aDifferential Equations
615  0$aProbabilities.
615  0$aNumerical analysis.
615  0$aDynamical systems.
615  0$aDifferential equations.
615 14$aProbability Theory.
615 24$aNumerical Analysis.
615 24$aDynamical Systems.
615 24$aDifferential Equations.
676   $a519.22
700   $aHong$b Jialin$4aut$4http://id.loc.gov/vocabulary/relators/aut$0769125
702   $aWang$b Xu$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910349341603321
996   $aInvariant Measures for Stochastic Nonlinear Schrödinger Equations$92499078
997   $aUNINA