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Invariant Measures for Stochastic Nonlinear Schrödinger Equations
Jialin HongXu Wang
其他書名
Numerical Approximations and Symplectic Structures
出版Springer Nature, 2019-08-22
主題Mathematics / Probability & Statistics / GeneralMathematics / Number SystemsMathematics / Mathematical AnalysisMathematics / Differential Equations / GeneralMathematics / Probability & Statistics / Stochastic ProcessesMathematics / Numerical AnalysisMathematics / Linear & Nonlinear Programming
ISBN98132906929789813290693
URLhttp://books.google.com.hk/books?id=zMKqDwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.