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.
Автор: Novotny Antonio Andrй, Sokolowski Jan Название: An Introduction to the Topological Derivative Method ISBN: 3030369145 ISBN-13(EAN): 9783030369149 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Abdon Atangana Название: Derivative with a New Parameter ISBN: 0081006446 ISBN-13(EAN): 9780081006443 Издательство: Elsevier Science Рейтинг: Цена: 8757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: George Isac; S?ndor Zolt?n N?meth Название: Scalar and Asymptotic Scalar Derivatives ISBN: 1441944842 ISBN-13(EAN): 9781441944849 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to some problems in nonlinear analysis, Riemannian geometry and applied mathematics. The theoretical results are developed in particular with respect to the study of complementarity problems, monotonicity of nonlinear mappings and the non-gradient type monotonicity on Riemannian manifolds.
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 Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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 Рейтинг: Цена: 8378.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: You-lan Zhu; Xiaonan Wu; I-Liang Chern; Zhi-zhong Название: Derivative Securities and Difference Methods ISBN: 1489990933 ISBN-13(EAN): 9781489990938 Издательство: Springer Рейтинг: Цена: 15372.00 р. 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 Рейтинг: Цена: 15372.00 р. 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.
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
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