Invariant Measures For Stochastic Nonlinear Schrödinger Equations

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    Invariant Measures for Stochastic Nonlinear Schrödinger Equations
    Numerical Approximations and Symplectic Structures
    By: Jialin Hong; Xu Wang
    Publisher:
    Springer
    Print ISBN: 9789813290686, 9813290684
    eText ISBN: 9789813290693, 9813290692
    Copyright year: 2019
    Format: EPUB
    Available from $ 54.99 USD
    SKU 9789813290693
    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.
     

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