Functional Analysis, Calculus of Variations and Numerical Methods for Models in Physics and Engineering, Botelho, Fabio Silva

Автор: Riley
Название: Mathematical Methods for Physics and Engineering
ISBN: 0521679710 ISBN-13(EAN): 9780521679718
Издательство: Cambridge Academ
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Цена: 47520.00 T
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Описание: This highly acclaimed undergraduate textbook teaches all the mathematics for undergraduate courses in the physical sciences. Containing over 800 exercises, half come with hints and answers and, in a separate manual, complete worked solutions. The remaining exercises are intended for unaided homework; full solutions are available to instructors.

Автор: Molica Bisci
Название: Variational Methods for Nonlocal Fractional Problems
ISBN: 1107111943 ISBN-13(EAN): 9781107111943
Издательство: Cambridge Academ
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Цена: 141510.00 T
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Описание: Devoted to the variational analysis of problems described by nonlocal operators, this book will appeal to a wide range of researchers and graduate students in mathematics, especially those interested in nonlinear phenomena. A careful balance is struck between rigorous mathematics and physical applications.

Автор: Yanfei Wang, Anatoly G. Yagola, Changchun Yang
Название: Computational Methods for Applied Inverse Problems
ISBN: 3110259044 ISBN-13(EAN): 9783110259049
Издательство: Walter de Gruyter
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Цена: 198290.00 T
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Описание: The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.

Автор: Botelho, Fabio Silva
Название: Functional Analysis, Calculus of Variations and Numerical Methods for Models in Physics and Engineering
ISBN: 0367356740 ISBN-13(EAN): 9780367356743
Издательство: Taylor&Francis
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Цена: 193950.00 T
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Описание: The book discusses the basic concepts of functional analysis, measure and integration theory, calculus of variations and duality aiming applications to variational problems of non-convex nature, such as the Ginzburg-Landau system in superconductivity, shape optimization models, etc.

Автор: Lloyd N. Trefethen
Название: Approximation Theory and Approximation Practice: Extended Edition
ISBN: 161197593X ISBN-13(EAN): 9781611975932
Издательство: Mare Nostrum (Eurospan)
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Цена: 60990.00 T
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Описание: This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the field’s most important ideas and results.

Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online.

The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation.

Автор: Peter Benner, Wilhelmus Schilders, Stefano Grivet-Talocia, Alfio Quarteroni, Gianluigi Rozza, Luis Miguel Silveira
Название: Model Order Reduction: Volume 1: System- and Data-Driven Methods and Algorithms
ISBN: 3110500434 ISBN-13(EAN): 9783110500431
Издательство: Walter de Gruyter
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Цена: 210690.00 T
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An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This two-volume handbook covers methods as well as applications. This first volume focuses on real-time control theory, data assimilation, real-time visualization, high-dimensional state spaces and interaction of different reduction techniques.

Автор: Peter Benner et al.,
Название: Snapshot-Based Methods and Algorithms
ISBN: 3110671409 ISBN-13(EAN): 9783110671407
Издательство: Walter de Gruyter
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Цена: 204490.00 T
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Описание:

An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This two-volume handbook covers methods as well as applications. This second volume focuses on applications in engineering, biomedical engineering, computational physics and computer science.

Автор: Colm T. Whelan
Название: An Introduction to Numerical Methods for the Physical Sciences
ISBN: 1681738740 ISBN-13(EAN): 9781681738741
Издательство: Mare Nostrum (Eurospan)
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Цена: 75770.00 T
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Описание: There is only a very limited number of physical systems that can be exactly described in terms of simple analytic functions.

There are, however, a vast range of problems which are amenable to a computational approach. This book provides a concise, self-contained introduction to the basic numerical and analytic techniques, which form the foundations of the algorithms commonly employed to give a quantitative description of systems of genuine physical interest. The methods developed are applied to representative problems from classical and quantum physics.

Автор: Colm T. Whelan
Название: An Introduction to Numerical Methods for the Physical Sciences
ISBN: 1681738724 ISBN-13(EAN): 9781681738727
Издательство: Mare Nostrum (Eurospan)
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Цена: 57290.00 T
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Описание: There is only a very limited number of physical systems that can be exactly described in terms of simple analytic functions.

There are, however, a vast range of problems which are amenable to a computational approach. This book provides a concise, self-contained introduction to the basic numerical and analytic techniques, which form the foundations of the algorithms commonly employed to give a quantitative description of systems of genuine physical interest. The methods developed are applied to representative problems from classical and quantum physics.

Автор: Baleanu Dumitru Et Al
Название: Fractional Calculus: Models And Numerical Methods
ISBN: 9814355208 ISBN-13(EAN): 9789814355209
Издательство: World Scientific Publishing
Цена: 121440.00 T
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Описание: The subject of fractional calculus and its applications (that is, convolution-type pseudo-differential operators including integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, mainly due to its applications in diverse fields of science and engineering. These operators have been used to model problems with anomalous dynamics, however, they also are an effective tool as filters and controllers, and they can be applied to write complicated functions in terms of fractional integrals or derivatives of elementary functions, and so on.This book will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of efficient numerical methods. Moreover, we will introduce some applied topics, in particular fractional variational methods which are used in physics, engineering or economics. We will also discuss the relationship between semi-Markov continuous-time random walks and the space-time fractional diffusion equation, which generalizes the usual theory relating random walks to the diffusion equation. These methods can be applied in finance, to model tick-by-tick (log)-price fluctuations, in insurance theory, to study ruin, as well as in macroeconomics as prototypical growth models.All these topics are complementary to what is dealt with in existing books on fractional calculus and its applications. This book was written with a trade-off in mind between full mathematical rigor and the needs of readers coming from different applied areas of science and engineering. In particular, the numerical methods listed in the book are presented in a readily accessible way that immediately allows the readers to implement them on a computer in a programming language of their choice. Numerical code is also provided.

Автор: Miroslav Bacak
Название: Convex analysis and optimization in Hadamard spaces
ISBN: 3110361035 ISBN-13(EAN): 9783110361032
Издательство: Walter de Gruyter
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Цена: 136310.00 T
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Описание: In the past two decades, convex analysis and optimization have been developed in Hadamard spaces. This book represents a first attempt to give a systematic account on the subject. Hadamard spaces are complete geodesic spaces of nonpositive curvature. They include Hilbert spaces, Hadamard manifolds, Euclidean buildings and many other important spaces. While the role of Hadamard spaces in geometry and geometric group theory has been studied for a long time, first analytical results appeared as late as in the 1990s. Remarkably, it turns out that Hadamard spaces are appropriate for the theory of convex sets and convex functions outside of linear spaces. Since convexity underpins a large number of results in the geometry of Hadamard spaces, we believe that its systematic study is of substantial interest. Optimization methods then address various computational issues and provide us with approximation algorithms which may be useful in sciences and engineering. We present a detailed description of such an application to computational phylogenetics. The book is primarily aimed at both graduate students and researchers in analysis and optimization, but it is accessible to advanced undergraduate students as well.

Автор: Francis Clarke
Название: Functional Analysis, Calculus of Variations and Optimal Control
ISBN: 1447162102 ISBN-13(EAN): 9781447162100
Издательство: Springer
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Цена: 65170.00 T
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Описание: This book provides a thorough introduction to optimal control, offering many substantial examples, and more than 300 exercises covering viscosity solutions, nonsmooth Lagrangians, the logarithmic Sobolev inequality, periodic trajectories, and systems theory.