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Discrete Mechanics, Geometric Integration and Lie–Butcher Series, Kurusch Ebrahimi-Fard; Mar?a Barbero Li??n


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Автор: Kurusch Ebrahimi-Fard; Mar?a Barbero Li??n
Название:  Discrete Mechanics, Geometric Integration and Lie–Butcher Series
ISBN: 9783030013967
Издательство: Springer
Классификация:




ISBN-10: 3030013960
Обложка/Формат: Hardcover
Страницы: 361
Вес: 0.72 кг.
Дата издания: 2018
Серия: Springer Proceedings in Mathematics & Statistics
Язык: English
Издание: 1st ed. 2018
Иллюстрации: 3 illustrations, color; 166 illustrations, black and white; x, 361 p. 169 illus., 3 illus. in color.
Размер: 234 x 156 x 22
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Подзаголовок: DMGILBS, Madrid, May 2015
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
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.

Дополнительное описание: Preface.- A. Iserles and G.R.W. Quispel, Why geometric numerical integration?.- B. Owren, Lie group integrators.- H. Z. Munthe-Kaas and K. K. F?llesdal, Lie–Butcher series, Geometry, Algebra and Computation.- A. Murua and J. M. Sanz-Serna, Averaging and c



Geometric numerical integration

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: Perelomov A. M.
Название: Integrable Systems of Classical Mechanics and Lie Algebras Volume I
ISBN: 3764323361 ISBN-13(EAN): 9783764323363
Издательство: Springer
Рейтинг:
Цена: 10480.00 р.
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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.

Discrete Mechanics, Geometric Integration and Lie–Butcher Series

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.
Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations

Автор: Hairer, E.
Название: Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations
ISBN: 3540306633 ISBN-13(EAN): 9783540306634
Издательство: Springer
Рейтинг:
Цена: 22359.00 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.

The theory of quantum information

Автор: Watrous, John (university Of Waterloo, Ontario)
Название: The theory of quantum information
ISBN: 1107180562 ISBN-13(EAN): 9781107180567
Издательство: Cambridge Academ
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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.

Stochastic Geometric Mechanics

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.
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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.


London Mathematical Society Lecture Note Series

Автор: Fefferman Charles L.
Название: London Mathematical Society Lecture Note Series
ISBN: 1108460968 ISBN-13(EAN): 9781108460965
Издательство: Cambridge Academ
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Цена: 12038.00 р.
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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.

Lie Groups and Geometric Aspects of Isometric Actions

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.

Lie Groups and Geometric Aspects of Isometric Actions

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.

Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics

Автор: D.H. Sattinger; O.L. Weaver
Название: Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics
ISBN: 0387962409 ISBN-13(EAN): 9780387962405
Издательство: Springer
Рейтинг:
Цена: 16769.00 р.
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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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