Mathematical Analysis II: Optimisation, Differential Equations and Graph Theory: Icrapam 2018, New Delhi, India, October 23-25, Deo Naokant, Gupta Vijay, Acu Ana Maria
Автор: Younes Salehi, William E. Schiesser Название: Numerical Integration of Space Fractional Partial Differential Equations, Volume 2: Applications from Classical Integer PDEs ISBN: 1681732092 ISBN-13(EAN): 9781681732091 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 82230.00 T Наличие на складе: Нет в наличии. Описание: Partial differential equations are one of the most used widely forms of mathematics in science and engineering. Two fractional PDEs can be considered, fractional in time, and fractional in space. This volume is directed to the development and use of SFPDEs, providing a discussion of applications from classical integer PDEs.
Автор: Alexander D. Bruno, Alexander B. Batkhin Название: Painleve Equations and Related Topics: Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011 ISBN: 3110275589 ISBN-13(EAN): 9783110275582 Издательство: Walter de Gruyter Рейтинг: Цена: 185890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Автор: Thomas Huckle, Tobias Neckel Название: Bits and Bugs: A Scientific and Historical Review of Software Failures in Computational Science ISBN: 1611975557 ISBN-13(EAN): 9781611975550 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 38450.00 T Наличие на складе: Невозможна поставка. Описание: In scientific computing (also known as computational science), advanced computing capabilities are used to solve complex problems. This self-contained book describes and analyzes reported software failures related to the major topics within scientific computing: mathematical modeling of phenomena; numerical analysis (number representation, rounding, conditioning); mathematical aspects and complexity of algorithms, systems, or software; concurrent computing (parallelization, scheduling, synchronization); and numerical data (such as input of data and design of control logic).Readers will find lists of related, interesting bugs, MATLAB examples, and ""excursions"" that provide necessary background, as well as an in-depth analysis of various aspects of the selected bugs. Illustrative examples of numerical principles such as machine numbers, rounding errors, condition numbers, and complexity are also included.This book is intended for students, teachers, and researchers in scientific computing, computer science, and applied mathematics. It is also an entertaining and motivating introduction for those with a minimum background in mathematics or computer science. Bits and Bugs can be used for courses in numerical analysis, numerical methods in linear algebra/ODEs/PDEs, introductory software engineering, introductory scientific computing, and parallel programming.
Автор: Nalini Joshi Название: Discrete Painleve Equations ISBN: 1470450380 ISBN-13(EAN): 9781470450380 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 48490.00 T Наличие на складе: Невозможна поставка. Описание: Discrete Painleve equations are nonlinear difference equations, which arise from translations on crystallographic lattices. The deceptive simplicity of this statement hides immensely rich mathematical properties, connecting dynamical systems, algebraic geometry, Coxeter groups, topology, special functions theory, and mathematical physics.This book necessarily starts with introductory material to give the reader an accessible entry point to this vast subject matter. It is based on lectures that the author presented as principal lecturer at a Conference Board of Mathematical Sciences and National Science Foundation conference in Texas in 2016. Instead of technical theorems or complete proofs, the book relies on providing essential points of many arguments through explicit examples, with the hope that they will be useful for applied mathematicians and physicists.
This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower order reaction term. Emphasis is put on three aspects:
The existence of separable singular solutions enables the description of isolated singularities of general solutions. The construction of singular solutions is delicate and cannot be done without the understanding of the spherical p-harmonic eigenvalue problem.
When the equations are considered on a Riemannian manifold, existence or non-existence of solutions depends on geometric assumptions such as the curvature. A priori estimates and Liouville type problems are analyzed.
When the equations are considered with a forcing term in the class of measures, their study is strongly linked to the properties of a class of potentials appearing in harmonic analysis such as the Riesz, the Bessel or the Wolff potentials and to their associated capacities. Necessary and sufficient conditions for existence of solutions link the continuity of the measure with respect to some appropriate capacity.
Автор: Buchanan J Robert, Shao Zhoude Название: First Course In Partial Differential Equations, A ISBN: 9813226439 ISBN-13(EAN): 9789813226432 Издательство: World Scientific Publishing Рейтинг: Цена: 127770.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This textbook gives an introduction to Partial Differential Equations (PDEs), for any reader wishing to learn and understand the basic concepts, theory, and solution techniques of elementary PDEs. The only prerequisite is an undergraduate course in Ordinary Differential Equations. This work contains a comprehensive treatment of the standard second-order linear PDEs, the heat equation, wave equation, and Laplace's equation. First-order and some common nonlinear PDEs arising in the physical and life sciences, with their solutions, are also covered.
This textbook includes an introduction to Fourier series and their properties, an introduction to regular Sturm-Liouville boundary value problems, special functions of mathematical physics, a treatment of nonhomogeneous equations and boundary conditions using methods such as Duhamel's principle, and an introduction to the finite difference technique for the numerical approximation of solutions. All results have been rigorously justified or precise references to justifications in more advanced sources have been cited. Appendices providing a background in complex analysis and linear algebra are also included for readers with limited prior exposure to those subjects.
The textbook includes material from which instructors could create a one- or two-semester course in PDEs. Students may also study this material in preparation for a graduate school (masters or doctoral) course in PDEs.
Автор: Graef John R, Bartusek Miroslav Название: Strong Nonlinear Limit-point/limit-circle Problem, The ISBN: 9813226374 ISBN-13(EAN): 9789813226371 Издательство: World Scientific Publishing Рейтинг: Цена: 109830.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
The limit-point/limit-circle problem had its beginnings more than 100 years ago with the publication of Hermann Weyl's classic paper in Mathematische Annalen in 1910 on linear differential equations. This concept was extended to second-order nonlinear equations in the late 1970's and later, to higher order nonlinear equations. This monograph traces the development of what is known as the strong nonlinear limit-point and limit-circle properties of solutions. In addition to bringing together all such results into one place, some new directions that the study has taken as well as some open problems for future research are indicated.
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) Рейтинг: Цена: 76910.00 T Наличие на складе: Нет в наличии. 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: Michel Delfour Название: Introduction to Optimization and Hadamard Semidifferential Calculus ISBN: 1611975956 ISBN-13(EAN): 9781611975956 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 94250.00 T Наличие на складе: Невозможна поставка. 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: Athanasios C. Antoulas Название: Interpolatory Methods for Model Reduction ISBN: 1611976073 ISBN-13(EAN): 9781611976076 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 68130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Dynamical systems are a principal tool in the modeling, prediction, and control of a wide range of complex phenomena. As the need for improved accuracy leads to larger and more complex dynamical systems, direct simulation often becomes the only available strategy for accurate prediction or control, inevitably creating a considerable burden on computational resources. This is the main context where one considers model reduction, seeking to replace large systems of coupled differential and algebraic equations that constitute high fidelity system models with substantially fewer equations that are crafted to control the loss of fidelity that order reduction may induce in the system response. Interpolatory methods are among the most widely used model reduction techniques, and Interpolatory Methods for Model Reduction is the first comprehensive analysis of this approach available in a single, extensive resource. It introduces state-of-the-art methods reflecting significant developments over the past two decades, covering both classical projection frameworks for model reduction and data-driven, nonintrusive frameworks.This textbook is appropriate for a wide audience of engineers and other scientists working in the general areas of large-scale dynamical systems and data-driven modeling of dynamics.
Автор: Kontoghiorghes Erricos J., Gatu Cristian Название: Optimisation, Econometric and Financial Analysis ISBN: 3540366253 ISBN-13(EAN): 9783540366256 Издательство: Springer Рейтинг: Цена: 153720.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Advanced computational methods are often employed for the solution of modelling and decision-making problems. This book addresses issues associated with the interface of computing, optimisation, econometrics and financial modelling. Emphasis is given to computational optimisation methods and techniques. The first part of the book addresses optimisation problems and decision modelling, with special attention to applications of supply chain and worst-case modelling as well as advances in the methodological aspects of optimisation techniques. The second part of the book is devoted to optimisation heuristics, filtering, signal extraction and various time series models. The chapters in this part cover the application of threshold accepting in econometrics, the structure of threshold autoregressive moving average models, wavelet analysis and signal extraction techniques in time series. The third and final part of the book is about the use of optimisation in portfolio selection and real option modelling.
Автор: Erricos Kontoghiorghes; Cristian Gatu Название: Optimisation, Econometric and Financial Analysis ISBN: 3642071716 ISBN-13(EAN): 9783642071713 Издательство: Springer Рейтинг: Цена: 153720.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book addresses issues associated with the interface of computing, optimisation, econometrics and financial modeling, emphasizing computational optimisation methods and techniques.
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