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Invariant Measures for Stochastic Nonlinear Schrödinger Equations

Numerical Approximations and Symplectic Structures

  • Jialin Hong
  • Xu Wang
Book
  • 3.2k Downloads

Part of the Lecture Notes in Mathematics book series (LNM, volume 2251)

Table of contents

About this book

Introduction

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.

Keywords

Invariant measures ergodic theory stochastic nonlinear Schrödinger equations symplectic and multi-symplectic structures numerical approximations

Authors and affiliations

  • Jialin Hong
    • 1
  • Xu Wang
    • 2
  1. 1.LSEC, ICMSEC, Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina
  2. 2.LSEC, ICMSEC, Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina

Bibliographic information