Invariant Measures for Stochastic Nonlinear Schrödinger Equations Numerical Approximations and Symplectic Structures /

• Main Authors: Hong, Jialin (Author, http://id.loc.gov/vocabulary/relators/aut), Wang, Xu (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Lecture Notes in Mathematics, 2251
• Subjects: Probabilities.; Numerical analysis.; Dynamics.; Ergodic theory.; Partial differential equations.; Probability Theory and Stochastic Processes.; Numerical Analysis.; Dynamical Systems and Ergodic Theory.; Partial Differential 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 measure...

Table of Contents:

• 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.