03353nam 22006375 450 991034934160332120251113191215.0981-329-069-210.1007/978-981-32-9069-3(CKB)4100000009076251(DE-He213)978-981-32-9069-3(MiAaPQ)EBC5919088(PPN)240583337(EXLCZ)99410000000907625120190822d2019 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierInvariant Measures for Stochastic Nonlinear Schrödinger Equations Numerical Approximations and Symplectic Structures /by Jialin Hong, Xu Wang1st ed. 2019.Singapore :Springer Nature Singapore :Imprint: Springer,2019.1 online resource (XIV, 220 p. 14 illus., 13 illus. in color.) Lecture Notes in Mathematics,1617-9692 ;2251981-329-068-4 Includes bibliographical references and index.Invariant 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.This 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.Lecture Notes in Mathematics,1617-9692 ;2251ProbabilitiesNumerical analysisDynamical systemsDifferential equationsProbability TheoryNumerical AnalysisDynamical SystemsDifferential EquationsProbabilities.Numerical analysis.Dynamical systems.Differential equations.Probability Theory.Numerical Analysis.Dynamical Systems.Differential Equations.519.22Hong Jialinauthttp://id.loc.gov/vocabulary/relators/aut769125Wang Xuauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910349341603321Invariant Measures for Stochastic Nonlinear Schrödinger Equations2499078UNINA