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Record Nr. |
UNINA9910349341603321 |
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Autore |
Hong Jialin |
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Titolo |
Invariant Measures for Stochastic Nonlinear Schrödinger Equations : Numerical Approximations and Symplectic Structures / / by Jialin Hong, Xu Wang |
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Pubbl/distr/stampa |
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Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2019 |
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ISBN |
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Edizione |
[1st ed. 2019.] |
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Descrizione fisica |
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1 online resource (XIV, 220 p. 14 illus., 13 illus. in color.) |
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Collana |
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Lecture Notes in Mathematics, , 1617-9692 ; ; 2251 |
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Disciplina |
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Soggetti |
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Probabilities |
Numerical analysis |
Dynamical systems |
Differential equations |
Probability Theory |
Numerical Analysis |
Dynamical Systems |
Differential Equations |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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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. |
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