Overview
- Gives a detailed introduction to ergodicity and symplectic and multi-symplectic structures for stochastic nonlinear Schrödinger equations
- Provides the study of ergodic numerical approximations for stochastic nonlinear Schrödinger equations without strong dissipative terms
- Constructs numerical approximations which inherit both dynamical behaviors and geometric structures even for stochastic nonlinear Schrödinger equation of conservative type
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2251)
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Table of contents (6 chapters)
Keywords
About this book
This book will appeal to researchers who are interested in numerical analysis, stochastic analysis, ergodic theory, partial differential equation theory, etc.
Authors and Affiliations
About the authors
Dr. Xu Wang, Golomb visiting assistant professor, Department of Mathematics, Purdue University, West Lafayette, 47906 IN, USA.
Bibliographic Information
Book Title: Invariant Measures for Stochastic Nonlinear Schrödinger Equations
Book Subtitle: Numerical Approximations and Symplectic Structures
Authors: Jialin Hong, Xu Wang
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-981-32-9069-3
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2019
Softcover ISBN: 978-981-32-9068-6Published: 23 August 2019
eBook ISBN: 978-981-32-9069-3Published: 22 August 2019
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XIV, 220
Number of Illustrations: 1 b/w illustrations, 13 illustrations in colour
Topics: Probability Theory and Stochastic Processes, Numerical Analysis, Dynamical Systems and Ergodic Theory, Partial Differential Equations
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