Invariant measures for stochastic nonlinear Schrödinger equations : numerical approximations and symplectic structures
著者
書誌事項
Invariant measures for stochastic nonlinear Schrödinger equations : numerical approximations and symplectic structures
（Lecture notes in mathematics, 2251）
Springer Nature Singapore, c2019
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注記
Includes bibliographical references (p. 209-217) and index
内容説明・目次
内容説明
This book provides some recent advance in the study of stochastic nonlinear Schroedinger 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 Schroedinger equations and their numerical approximations, and studies the properties and convergence errors of numerical methods for stochastic nonlinear Schroedinger equations.
This book will appeal to researchers who are interested in numerical analysis, stochastic analysis, ergodic theory, partial differential equation theory, etc.
目次
Invariant measures and ergodicity.- Invariant measures for stochastic differential equations.- Invariant measures for stochastic nonlinear Schroedinger equations.- Geometric structures and numerical schemes for nonlinear Schroedinger equations.- Numerical invariant measures for damped stochastic nonlinear Schroedinger equations.- Approximation of ergodic limit for conservative stochastic nonlinear Schroedinger equations.
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