Invariant Measures for Stochastic Nonlinear Schrödinger Equations Numerical Approximations and Symplectic Structures
tarafından
Hong, Jialin. author.
Başlık
:
Invariant Measures for Stochastic Nonlinear Schrödinger Equations Numerical Approximations and Symplectic Structures
Yazar
:
Hong, Jialin. author.
ISBN
:
9789813290693
Yazar
:
Hong, Jialin. author.
Edisyon
:
1st ed. 2019.
Fiziksel Niteleme
:
XIV, 220 p. 14 illus., 13 illus. in color. online resource.
Seri
:
Lecture Notes in Mathematics, 2251
İçindekiler
:
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.
Özet
:
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.
Konu Başlığı
:
Probabilities.
Numerical analysis.
Dynamics.
Ergodic theory.
Partial differential equations.
Probability Theory and Stochastic Processes. https://scigraph.springernature.com/ontologies/product-market-codes/M27004
Numerical Analysis. https://scigraph.springernature.com/ontologies/product-market-codes/M14050
Dynamical Systems and Ergodic Theory. https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
Partial Differential Equations. https://scigraph.springernature.com/ontologies/product-market-codes/M12155
Yazar Ek Girişi
:
Wang, Xu.
Ek Kurum Yazar
:
SpringerLink (Online service)
Elektronik Erişim
:
Materyal Türü | Barkod | Yer Numarası | Durumu/İade Tarihi |
---|
Electronic Book | 428691-1001 | QA273 .A1-274.9 | Springer E-Book Collection |