Fractional Derivative Modeling in Mechanics and Engineering, Chen Wen, Sun Hongguang, Li Xicheng

Автор: Changpin Li, Min Cai
Название: Theory and Numerical Approximations of Fractional Integrals and Derivatives
ISBN: 1611975875 ISBN-13(EAN): 9781611975871
Издательство: Mare Nostrum (Eurospan)
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Цена: 76910.00 T
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Описание: Due to its ubiquity across a variety of fields in science and engineering, fractional calculus has gained momentum in industry and academia. While a number of books and papers introduce either fractional calculus or numerical approximations, no current literature provides a comprehensive collection of both topics. This monograph introduces fundamental information on fractional calculus and provides a detailed treatment of existing numerical approximations.Theory and Numerical Approximations of Fractional Integrals and Derivatives presents an inclusive review of fractional calculus in terms of theory and numerical methods and systematically examines almost all existing numerical approximations for fractional integrals and derivatives. The authors consider the relationship between the fractional Laplacian and the Riesz derivative, a key component absent from other related texts, and highlight recent developments, including their own research and results.The book’s core audience spans several fractional communities, including those interested in fractional partial differential equations, the fractional Laplacian, and applied and computational mathematics. Advanced undergraduate and graduate students will find the material suitable as a primary or supplementary resource for their studies.

Автор: Chen
Название: Fractional Derivative Modeling in Mechanics and Engineering
ISBN: 9811688044 ISBN-13(EAN): 9789811688041
Издательство: Springer
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Цена: 55890.00 T
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Описание: This textbook highlights the theory of fractional calculus and its wide applications in mechanics and engineering. It describes in details the research findings in using fractional calculus methods for modeling and numerical simulation of complex mechanical behavior. It covers the mathematical basis of fractional calculus, the relationship between fractal and fractional calculus, unconventional statistics and anomalous diffusion, typical applications of fractional calculus, and the numerical solution of the fractional differential equation. It also includes latest findings, such as variable order derivative, distributed order derivative and its applications. Different from other textbooks in this subject, the book avoids lengthy mathematical demonstrations, and presents the theories in close connection to the applications in an easily readable manner. This textbook is intended for students, researchers and professionals in applied physics, engineering mechanics, and applied mathematics. It is also of high reference value for those in environmental mechanics, geotechnical mechanics, biomechanics, and rheology.

Название: Derivative Securities and Difference Methods Derivative Securities and Difference Methods
ISBN: 1461473055 ISBN-13(EAN): 9781461473053
Издательство: Springer
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Цена: 130430.00 T
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Описание: This book explains how to establish appropriate partial differential equation boundary value problems for different sets of derivative products, and analyzes the application of finite differences techniques to a set of stated financial models.

Автор: Hilber Norbert
Название: Computational Methods for Quantitative Finance
ISBN: 3642354009 ISBN-13(EAN): 9783642354007
Издательство: Springer
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Цена: 83850.00 T
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Описание: This book introduces algorithms for fast, accurate pricing of derivative contracts. These are developed in classical Black-Scholes markets, and extended to models based on multiscale stochastic volatility, to Levy, additive and classes of Feller processes.

Автор: Novotny Antonio Andrй, Sokolowski Jan
Название: An Introduction to the Topological Derivative Method
ISBN: 3030369145 ISBN-13(EAN): 9783030369149
Издательство: Springer
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Цена: 55890.00 T
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Описание: In particular, the topological derivative is used here in numerical methods of shape optimization, with applications in the context of compliance structural topology optimization and topology design of compliant mechanisms.

Автор: Borsuk
Название: Oblique Derivative Problems for Elliptic Equations in Conical Domains
ISBN: 3031283805 ISBN-13(EAN): 9783031283802
Издательство: Springer
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Цена: 51230.00 T
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Описание: The aim of our book is the investigation of the behavior of strong and weak solutions to the regular oblique derivative problems for second order elliptic equations, linear and quasi-linear, in the neighborhood of the boundary singularities. The main goal is to establish the precise exponent of the solution decrease rate and under the best possible conditions. The question on the behavior of solutions of elliptic boundary value problems near boundary singularities is of great importance for its many applications, e.g., in hydrodynamics, aerodynamics, fracture mechanics, in the geodesy etc. Only few works are devoted to the regular oblique derivative problems for second order elliptic equations in non-smooth domains. All results are given with complete proofs. The monograph will be of interest to graduate students and specialists in elliptic boundary value problems and their applications.

Автор: Back Kerry
Название: Course in Derivative Securities
ISBN: 3642064744 ISBN-13(EAN): 9783642064746
Издательство: Springer
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Цена: 55850.00 T
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Описание: "Deals with pricing and hedging financial derivatives.... Computational methods are introduced and the text contains the Excel VBA routines corresponding to the formulas and procedures described in the book.

Автор: Abdon Atangana
Название: Derivative with a New Parameter
ISBN: 0081006446 ISBN-13(EAN): 9780081006443
Издательство: Elsevier Science
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Цена: 58380.00 T
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Описание: Derivative with a New Parameter: Theory, Methods and Applications discusses the first application of the local derivative that was done by Newton for general physics, and later for other areas of the sciences. . The book starts off by giving a history of derivatives, from Newton to Caputo. It then goes on to introduce the new parameters for the local derivative, including its definition and properties. Additional topics define beta-Laplace transforms, beta-Sumudu transforms, and beta-Fourier transforms, including their properties, and then go on to describe the method for partial differential with the beta derivatives. . Subsequent sections give examples on how local derivatives with a new parameter can be used to model different applications, such as groundwater flow and different diseases. The book gives an introduction to the newly-established local derivative with new parameters, along with their integral transforms and applications, also including great examples on how it can be used in epidemiology and groundwater studies.

Автор: Norbert Hilber; Oleg Reichmann; Christoph Schwab;
Название: Computational Methods for Quantitative Finance
ISBN: 3642435327 ISBN-13(EAN): 9783642435324
Издательство: Springer
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Цена: 65210.00 T
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Описание: This book introduces algorithms for fast, accurate pricing of derivative contracts. These are developed in classical Black-Scholes markets, and extended to models based on multiscale stochastic volatility, to Levy, additive and classes of Feller processes.

Автор: You-lan Zhu; Xiaonan Wu; I-Liang Chern; Zhi-zhong
Название: Derivative Securities and Difference Methods
ISBN: 1489990933 ISBN-13(EAN): 9781489990938
Издательство: Springer
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Цена: 102480.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book explains how to establish appropriate partial differential equation boundary value problems for different sets of derivative products, and analyzes the application of finite differences techniques to a set of stated financial models.

Автор: You-lan Zhu; Xiaonan Wu; I-Liang Chern
Название: Derivative Securities and Difference Methods
ISBN: 1441919252 ISBN-13(EAN): 9781441919250
Издательство: Springer
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Цена: 102480.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The treatment is mathematically rigorous and covers a variety of topics in finance including forward and futures contracts, the Black-Scholes model, European and American type options, free boundary problems, lookback options, interest rate models, interest rate derivatives, swaps, caps, floors, and collars.

Автор: Yang, Xiao-Jun
Название: General Fractional Derivatives With Applications In Viscoelasticity
ISBN: 0128172088 ISBN-13(EAN): 9780128172087
Издательство: Elsevier Science
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Цена: 132500.00 T
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Описание:

General Fractional Derivatives with Applications in Viscoelasticity introduces the newly established fractional-order calculus operators involving singular and non-singular kernels with applications to fractional-order viscoelastic models from the calculus operator viewpoint. Fractional calculus and its applications have gained considerable popularity and importance because of their applicability to many seemingly diverse and widespread fields in science and engineering. Many operations in physics and engineering can be defined accurately by using fractional derivatives to model complex phenomena. Viscoelasticity is chief among them, as the general fractional calculus approach to viscoelasticity has evolved as an empirical method of describing the properties of viscoelastic materials. General Fractional Derivatives with Applications in Viscoelasticity makes a concise presentation of general fractional calculus.

• Presents a comprehensive overview of the fractional derivatives and their applications in viscoelasticity
• Provides help in handling the power-law functions
• Introduces and explores the questions about general fractional derivatives and its applications