Jialin Hong, Xu Wang

Invariant Measures for Stochastic Nonlinear Schrödinger Equations

Numerical Approximations and Symplectic Structures

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 2251
• Verlag: Springer / Springer Nature Singapore / Springer, Berlin
• Artikelnr. des Verlages: 978-981-32-9068-6
• 1st ed. 2019
• Seitenzahl: 236
• Erscheinungstermin: 23. August 2019
• Englisch
• Abmessung: 235mm x 155mm x 13mm
• Gewicht: 374g
• ISBN-13: 9789813290686
• ISBN-10: 9813290684
• Artikelnr.: 57060001

Autorenporträt

Prof. Jialin Hong, professor, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China/School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China Dr. Xu Wang, Golomb visiting assistant professor, Department of Mathematics, Purdue University, West Lafayette, 47906 IN, USA.

Inhaltsangabe

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.