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.
Автор: Holm Darryl Название: Geometric Mechanics ISBN: 1848167784 ISBN-13(EAN): 9781848167780 Издательство: World Scientific Publishing Рейтинг: Цена: 4118.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Introduces the tools and language of modern geometric mechanics to advanced undergraduate and beginning graduate students in mathematics, physics, and engineering. This book treats the dynamics of rotating, spinning and rolling rigid bodies from a geometric viewpoint, by formulating their solutions as coadjoint motions generated by Lie groups.
Описание: Introduces the tools and language of modern geometric mechanics to advanced undergraduate and beginning graduate students in mathematics, physics, and engineering. This book treats the dynamics of rotating, spinning and rolling rigid bodies from a geometric viewpoint, by formulating their solutions as coadjoint motions generated by Lie groups.
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: Dariusz Chruscinski; Andrzej Jamiolkowski Название: Geometric Phases in Classical and Quantum Mechanics ISBN: 1461264758 ISBN-13(EAN): 9781461264750 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Several well-established geometric and topological methods are used in this work in an application to a beautiful physical phenomenon known as the geometric phase. This book examines the geometric phase, bringing together different physical phenomena under a unified mathematical scheme.
Based on lectures held at the 8th edition of the series of summer schools in Villa de Leyva since 1999, this book presents an introduction to topics of current interest at the interface of geometry, algebra, analysis, topology and theoretical physics. It is aimed at graduate students and researchers in physics or mathematics, and offers an introduction to the topics discussed in the two weeks of the summer school: operator algebras, conformal field theory, black holes, relativistic fluids, Lie groupoids and Lie algebroids, renormalization methods, spectral geometry and index theory for pseudo-differential operators.
Автор: Whitney Hassler Название: Geometric Integration Theory ISBN: 0691626707 ISBN-13(EAN): 9780691626703 Издательство: Wiley Рейтинг: Цена: 10296.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A complete theory of integration as it appears in geometric and physical problems must include integration over oriented r-dimensional domains in n-space; both the integrand and the domain may be variable. This is the primary subject matter of the present book, designed to bring out the underlying geometric and analytic ideas and to give clear and
Автор: Kurusch Ebrahimi-Fard; Mar?a Barbero Li??n Название: Discrete Mechanics, Geometric Integration and Lie–Butcher Series ISBN: 3030013960 ISBN-13(EAN): 9783030013967 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.
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.
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.
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