Автор: Hairer Название: Geometric numerical integration ISBN: 364205157X ISBN-13(EAN): 9783642051579 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. The long-time behavior of the numerical solutions is studied using a backward error analysis combined with KAM theory.
Описание: The investigation of integrable systems was an important line of study. Remarkable progress has been made in this field via the so-called isospectral deformation method which makes extensive use of group-theoretical concepts. This book focuses on the development and applications of this method.
Автор: Kurusch Ebrahimi-Fard; Mar?a Barbero Li??n Название: Discrete Mechanics, Geometric Integration and Lie–Butcher Series ISBN: 3030131777 ISBN-13(EAN): 9783030131777 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This volume resulted from presentations given at the international “Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie–Butcher Series”, that took place at the Instituto de Ciencias Matem?ticas (ICMAT) in Madrid, Spain. It combines overview and research articles on recent and ongoing developments, as well as new research directions.Why geometric numerical integration? In their article of the same title Arieh Iserles and Reinout Quispel, two renowned experts in numerical analysis of differential equations, provide a compelling answer to this question. After this introductory chapter a collection of high-quality research articles aim at exploring recent and ongoing developments, as well as new research directions in the areas of geometric integration methods for differential equations, nonlinear systems interconnections, and discrete mechanics. One of the highlights is the unfolding of modern algebraic and combinatorial structures common to those topics, which give rise to fruitful interactions between theoretical as well as applied and computational perspectives. The volume is aimed at researchers and graduate students interested in theoretical and computational problems in geometric integration theory, nonlinear control theory, and discrete mechanics.
Описание: This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. The long-time behavior of the numerical solutions is studied using a backward error analysis combined with KAM theory.
Автор: Watrous, John (university Of Waterloo, Ontario) Название: The theory of quantum information ISBN: 1107180562 ISBN-13(EAN): 9781107180567 Издательство: Cambridge Academ Рейтинг: Цена: 11563.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.
Автор: Sergio Albeverio; Ana Bela Cruzeiro; Darryl Holm Название: Stochastic Geometric Mechanics ISBN: 3319634526 ISBN-13(EAN): 9783319634524 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
A. Arnaudon, A. L. De Castro and D. D. Holm, Noise and dissipation in rigid-body motion.- F. Flandoli, An open problem in the theory of regularization of noise for nonlinear PSDs.- G. Da Prato, Surface integrals in Hilbert spaces for general measures and applications.- F. Gay-Balmaz and V. Putkaradze, On noise extensions of nonholonomic constrants.- G. S. Chirikjian, Degenerate diffusions and harmonic analysis on SE(3). A tutorial.- B. Janssens and K. H. Neeb, Covariant central extensions of gauge Lie algebras.- Th. Lйvy and A. Sengupta, Four chapters on Low-dimensional Gauge theories.- Y. Brenier, Some variational and stochastic methods for the Euler equations of incompressible fluid dynamics and related models.- G. A. Chechkhin, Introduction to homogenization theory.- L. Bittner, H. Gottschalk, M. Grцger, N. Moch, M. Saad, and S. Schmitz, Modeling, minimizing and managing the risk of fatigue for mechanical compo
nents.- Index.
Автор: Fefferman Charles L. Название: London Mathematical Society Lecture Note Series ISBN: 1108460968 ISBN-13(EAN): 9781108460965 Издательство: Cambridge Academ Рейтинг: Цена: 12038.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume, derived from the `PDEs in Fluid Mechanics` workshop held at the University of Warwick in 2016, serves to consolidate and advance work in mathematical fluid dynamics. Consisting of surveys and original research, it will be a valuable resource for both established researchers and graduate students seeking an overview of current developments.
Автор: Marcos M. Alexandrino; Renato G. Bettiol Название: Lie Groups and Geometric Aspects of Isometric Actions ISBN: 3319386271 ISBN-13(EAN): 9783319386270 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach. The topics discussed include polar actions, singular Riemannian foliations, cohomogeneity one actions, and positively curved manifolds with many symmetries.
Автор: Alexandrino Marcos M. Название: Lie Groups and Geometric Aspects of Isometric Actions ISBN: 3319166123 ISBN-13(EAN): 9783319166124 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach. The topics discussed include polar actions, singular Riemannian foliations, cohomogeneity one actions, and positively curved manifolds with many symmetries.
Описание: A text on Lie groups and algebras and their roles in diverse areas of pure and applied mathematics and physics. It includes examples that illustrate the role of Lie groups and algebras in various fields of mathematics and physics: elementary particle physics, Riemannian geometry, completely integrable systems, and bifurcation theory.
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