Lecture Notes in Mathematics: Numerical Approximations and Symplectic Structures

Hong, Jialin; Wang, Xu

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.

Details

Published by: Springer

Publication Date: 2019-08-23

Format: Paperback

ISBN-13: 9789813290686

DOI: 10.1007/978-981-32-9069-3

Dimensions: 235cm x155cm

Pages: 220