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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Invariant Measures for Stochastic Nonlinear Schrödinger Equations/ by Jialin Hong, Xu Wang.
其他題名:	Numerical Approximations and Symplectic Structures /
作者:	Hong, Jialin.
其他作者:	Wang, Xu.
面頁冊數:	XIV, 220 p. 14 illus., 13 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Probabilities. -
電子資源:	https://doi.org/10.1007/978-981-32-9069-3
ISBN:	9789813290693

Invariant Measures for Stochastic Nonlinear Schrödinger Equations = Numerical Approximations and Symplectic Structures /
Hong, Jialin.

Invariant Measures for Stochastic Nonlinear Schrödinger EquationsNumerical Approximations and Symplectic Structures /[electronic resource] :by Jialin Hong, Xu Wang. - 1st ed. 2019. - XIV, 220 p. 14 illus., 13 illus. in color.online resource. - Lecture Notes in Mathematics,22510075-8434 ;. - Lecture Notes in Mathematics,2144.

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.

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.

ISBN: 9789813290693

Standard No.: 10.1007/978-981-32-9069-3doiSubjects--Topical Terms:

527847
Probabilities.

LC Class. No.: QA273.A1-274.9

Dewey Class. No.: 519.2

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