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: 52800.00 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: Michel Delfour
Название: Introduction to Optimization and Hadamard Semidifferential Calculus
ISBN: 1611975956 ISBN-13(EAN): 9781611975956
Издательство: Mare Nostrum (Eurospan)
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Цена: 94250.00 T
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Описание: Provides an enhanced exposition of the long-overlooked Hadamard semidifferential calculus, first introduced in the 1920s by mathematicians Jacques Hadamard and Maurice Rene Frechet. Hadamard semidifferential calculus is possibly the largest family of nondifferentiable functions that retains all the features of classical differential calculus.

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
Наличие на складе: Нет в наличии.
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
Наличие на складе: Есть у поставщика Поставка под заказ.
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: Anatoly Kochubei, Yuri Luchko
Название: Fractional Differential Equations
ISBN: 3110570823 ISBN-13(EAN): 9783110570823
Издательство: Walter de Gruyter
Цена: 161100.00 T
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Описание: This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This second volume collects authoritative chapters covering the mathematical theory of fractional calculus, including ordinary and partial differential equations of fractional order, inverse problems, and evolution equations.

Автор: Anatoly Kochubei, Yuri Luchko
Название: Basic Theory
ISBN: 3110570815 ISBN-13(EAN): 9783110570816
Издательство: Walter de Gruyter
Цена: 161100.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.

Автор: Clarke Francis
Название: Functional Analysis, Calculus of Variations and Optimal Cont
ISBN: 1447148193 ISBN-13(EAN): 9781447148197
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.

Автор: Tsung-Ming Huang, Ren-Cang Li, Wen-Wei Lin
Название: Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations
ISBN: 1611975352 ISBN-13(EAN): 9781611975352
Издательство: Mare Nostrum (Eurospan)
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Цена: 53090.00 T
Наличие на складе: Невозможна поставка.
Описание: Nonlinear matrix equations arise frequently in applied science and engineering. This is the first book to provide a unified treatment of structure-preserving doubling algorithms, which have been recently studied and proven effective for notoriously challenging problems, such as fluid queue theory and vibration analysis for high-speed trains. The authors present recent developments and results for the theory of doubling algorithms for nonlinear matrix equations associated with regular matrix pencils, and highlight the use of these algorithms in achieving robust solutions for notoriously challenging problems that other methods cannot.Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations is intended for researchers and computational scientists. Graduate students may also find it of interest.