Описание: This book provides some recent advance in the study of stochastic nonlinear Schr?dinger 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 Schr?dinger equations and their numerical approximations, and studies the properties and convergence errors of numerical methods for stochastic nonlinear Schr?dinger equations.
This book will appeal to researchers who are interested in numerical analysis, stochastic analysis, ergodic theory, partial differential equation theory, etc.
Описание: In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds.
Описание: In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds.
Автор: Masao Nagasawa Название: Schr?dinger Equations and Diffusion Theory ISBN: 3034805594 ISBN-13(EAN): 9783034805599 Издательство: Springer Рейтинг: Цена: 10480.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Self-contained and structurally coherent, this introduction to the theory and applications of diffusion processes deploys them to analyze Schrodinger`s equations, using relative entropy and the theory of transformations to forge apparently identical processes.
Автор: Serafin Fraga; Jose M. Garcia de la Vega; Eric S. Название: The Schr?dinger and Riccati Equations ISBN: 3540651055 ISBN-13(EAN): 9783540651055 Издательство: Springer Рейтинг: Цена: 14365.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The linear Schroedinger equation is central to Quantum Chemistry. The Riccati equation is used to study the one-dimensional Schroedinger equation. The authors develop the Schroedinger-Riccati equation as an approach to determine solutions of the time-independent, linear Schroedinger equation.
Автор: Panayotis G. Kevrekidis Название: The Discrete Nonlinear Schr?dinger Equation ISBN: 364224243X ISBN-13(EAN): 9783642242434 Издательство: Springer Рейтинг: Цена: 32651.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book constitutes the first effort to summarize a large volume of results obtained over the past 20 years in the context of the Discrete Nonlinear Schrodinger equation and the physical settings that it describes.
Автор: Erik Balslev Название: Schr?dinger Operators, Aarhus 1985 ISBN: 3540168265 ISBN-13(EAN): 9783540168263 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Sandro Graffi Название: Schr?dinger Operators, Como 1984 ISBN: 3540160353 ISBN-13(EAN): 9783540160359 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Kaspar Sakmann Название: Many-Body Schr?dinger Dynamics of Bose-Einstein Condensates ISBN: 3642271057 ISBN-13(EAN): 9783642271052 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers the first numerically exact solutions of the time-dependent many-body Schrodinger equation for a bosonic Josephson junction, comparing them to approximate Gross-Pitaevskii and Bose-Hubbard theories. This opens exciting new aspects of physics.
Автор: Robert Aebi Название: Schr?dinger Diffusion Processes ISBN: 3034898746 ISBN-13(EAN): 9783034898744 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In order to answer Schrodinger`s question, the book takes three distinct approaches, dealt with in separate chapters: transformation by means of a multiplicative functional, projection by means of relative entropy, and variation of a functional associated to pairs of non-linear integral equations.
Автор: Oktay Veliev Название: Multidimensional Periodic Schr?dinger Operator ISBN: 3319386719 ISBN-13(EAN): 9783319386713 Издательство: Springer Рейтинг: Цена: 15672.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This concerns perturbation theory and constructive determination of the spectral invariants and finding the periodic potential from the given Bloch eigenvalues. Using the perturbation theory constructed in this book, the spectral invariants of the multidimensional operator from the given Bloch eigenvalues are determined.
Описание: Offers an introduction to semi-classical analysis. This book includes an application of PDE techniques and the precise link between approximate solutions and exact eigenfunctions. It provides an application to Witten's approach for the proof of the Morse inequalities.
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