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

Invariant Measures for Stochastic Nonlinear Schrödinger Equations: Numerical Approximations and Symplectic Structures
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Field name Details
Dewey Class 515
Title Invariant Measures for Stochastic Nonlinear Schrödinger Equations : Numerical Approximations and Symplectic Structures (EB) / Jialin Hong, Xu Wang
Author Hong, Jialin
Added Personal Name Wang, Xu
Publication Cham : Springer , 2019
Physical Details xiv, 220 pages : Online resource
Series Lecture Notes in Mathematics ; 2251
ISBN 978-981-32-9069-3
Summary Note 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.:
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site https://doi.org/10.1007/978-981-32-9069-3
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