Geometrical Approaches to Differential Equations, R. Martini
Автор: Strang Название: Differential Equations and Linear Algebra ISBN: 0980232791 ISBN-13(EAN): 9780980232790 Издательство: Cambridge Academ Рейтинг: Цена: 60180.00 T Наличие на складе: Невозможна поставка. Описание: Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.
This volume contains contributed survey papers from the main speakers at the LMS/EPSRC Symposium “Building bridges: connections and challenges in modern approaches to numerical partial differential equations”. This meeting took place in July 8-16, 2014, and its main purpose was to gather specialists in emerging areas of numerical PDEs, and explore the connections between the different approaches.
The type of contributions ranges from the theoretical foundations of these new techniques, to the applications of them, to new general frameworks and unified approaches that can cover one, or more than one, of these emerging techniques.
Автор: Armando Marino Название: A New Target Detector Based on Geometrical Perturbation Filters for Polarimetric Synthetic Aperture Radar (POL-SAR) ISBN: 3642431569 ISBN-13(EAN): 9783642431562 Издательство: Springer Рейтинг: Цена: 121890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This publication details a groundbreaking radar methodology called perturbation analysis, which enables detection of targets smaller than the resolution cell that are highly embedded in clutter. It pushes forward the performance limits of current algorithms.
Автор: M. A. Krasnoselskii; C. Fenske; P. P. Zabreiko Название: Geometrical Methods of Nonlinear Analysis ISBN: 364269411X ISBN-13(EAN): 9783642694110 Издательство: Springer Рейтинг: Цена: 83850.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: On the other hand, many problems of non- linear analysis are still far from a solution (problems arising from the internal development of mathematics and, in particular, problems arising in the process of interpreting new problems in the natural sciences).
Автор: N.A. Bobylov; S.V. Emel`yanov; S. Korovin Название: Geometrical Methods in Variational Problems ISBN: 9401059551 ISBN-13(EAN): 9789401059558 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Since the building of all the Universe is perfect and is cre- ated by the wisdom Creator, nothing arises in the Universe in which one cannot see the sense of some maXImum or mInImUm Euler God moves the Universe along geometrical lines Plato Mathematical models of most closed physical systems are based on vari- ational principles, i.e., it is postulated that equations describing the evolu- tion of a system are the Euler Lagrange equations of a certain functional. In this connection, variational methods are one of the basic tools for studying many problems of natural sciences. The first problems related to the search for extrema appeared as far back as in ancient mathematics. They go back to Archimedes, Appolonius, and Euclid. In many respects, the problems of seeking maxima and minima have stimulated the creation of differential calculus; the variational prin- ciples of optics and mechanics, which were discovered in the seventeenth and eighteenth centuries, gave impetus to an intensive development of the calculus of variations. In one way or another, variational problems were of interest to such giants of natural sciences as Fermat, Newton, Descartes, Euler, Huygens, 1. Bernoulli, J. Bernoulli, Legendre, Jacobi, Kepler, La- grange, and Weierstrass.
Автор: Xiaoping Xu Название: Algebraic Approaches to Partial Differential Equations ISBN: 3642427626 ISBN-13(EAN): 9783642427626 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents various algebraic techniques for solving partial differential equations to yield exact solutions, techniques developed by the author in recent years and with emphasis on physical equations.
Автор: Seonho Cho, Kyung K. Choi, Youn D. Ha Название: Isogeometric Optimal Design: Geometrically Exact S hape Optimization with Seamless Integration of CAD and CAE ISBN: 1118732057 ISBN-13(EAN): 9781118732052 Издательство: Wiley Рейтинг: Цена: 121440.00 T Наличие на складе: Невозможна поставка. Описание: Presents a unified approach for combining CAD, CAE, sensitivity analysis, and optimization, helping readers to understand the theories of the isogeometric finite element method and shape optimization systematically and accurately.
This textbook is a short comprehensive and intuitive introduction to Lie group analysis of ordinary and partial differential equations. This practical-oriented material contains a large number of examples and problems accompanied by detailed solutions and figures. In comparison with the known beginner guides to Lie group analysis, the book is oriented toward students who are interested in financial mathematics, mathematical finance and economics.
We provide the results of the Lie group analysis of actual models in Financial Mathematics using recent publications. These models are usually formulated as nonlinear partial differential equations and are rather difficult to make use of. With the help of Lie group analysis it is possible to describe some important properties of these models and to obtain interesting reductions in a clear and understandable algorithmic way.
The book can serve as a short introduction for a further study of modern geometrical analysis applied to models in financial mathematics. It can also be used as textbook in a master's program, in an intensive compact course, or for self study.
The textbook with a large number of examples will be useful not only for students who are interested in Financial Mathematics but also for people who are working in other areas of research that are not directly connected with Physics (for instance in such areas of Applied Mathematics like mathematical economy, bio systems, coding theory, etc.).
Автор: N.A. Bobylov; S.V. Emel`yanov; S. Korovin Название: Geometrical Methods in Variational Problems ISBN: 0792357809 ISBN-13(EAN): 9780792357803 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph presents methods for the investigation of nonlinear variational problems, based on geometric and topological ideas. Attention is also given to applications in optimization, mathematical physics, control, and numerical methods.
Автор: J. Sz?cs; Mark Levi; V.I. Arnold Название: Geometrical Methods in the Theory of Ordinary Differential Equations ISBN: 1461269946 ISBN-13(EAN): 9781461269946 Издательство: Springer Рейтинг: Цена: 186330.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The expanded second edition of this book reflects new developments including the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems and the Neistadt theory.
Автор: Gerald Farin; Bernd Hamann; Hans Hagen Название: Hierarchical and Geometrical Methods in Scientific Visualization ISBN: 364262801X ISBN-13(EAN): 9783642628016 Издательство: Springer Рейтинг: Цена: 139310.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The nature of the physical Universe has been increasingly better understood in recent years, and cosmological concepts have undergone a rapid evolution (see, e.g., [11], [2],or [5]).
Автор: A.E.R. Woodcock; T. Poston Название: A Geometrical Study of the Elementary Catastrophes ISBN: 3540066810 ISBN-13(EAN): 9783540066811 Издательство: Springer Рейтинг: Цена: 32560.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
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