Biorthogonality and its applications to numerical analysis /, Brezinski, Claude,
Автор: Ronald E Mickens Название: Nonstandard Finite Difference Schemes: Methodology And Applications ISBN: 9811222533 ISBN-13(EAN): 9789811222535 Издательство: World Scientific Publishing Рейтинг: Цена: 116160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
"This book contains a clear presentation of nonstandard finite difference schemes for the numerical integration of differential equations. A set of rules for constructing nonstandard finite difference schemes is also presented. An important feature of the book is the illustration of the various discrete modeling principles, by their application to a large number of both ordinary and partial differential equations."
Mathematical Reviews
This second edition of Nonstandard Finite Difference Models of Differential Equations provides an update on the progress made in both the theory and application of the NSFD methodology during the past two and a half decades. In addition to discussing details related to the determination of the denominator functions and the nonlocal discrete representations of functions of dependent variables, we include many examples illustrating just how this should be done.
Of real value to the reader is the inclusion of a chapter listing many exact difference schemes, and a chapter giving NSFD schemes from the research literature. The book emphasizes the critical roles played by the "principle of dynamic consistency" and the use of sub-equations for the construction of valid NSFD discretizations of differential equations.
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: Lubin Vulkov; Jerzy Wasniewski; Plamen Yalamov Название: Numerical Analysis and Its Applications ISBN: 3540625984 ISBN-13(EAN): 9783540625988 Издательство: Springer Рейтинг: Цена: 97820.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This text comprises the proceedings of the First International Workshop on Numerical Analysis and Its Applications. It presents recent results and methods of numerical analysis applicable in computational science, particularly in computational physics and chemistry.
Автор: Svetozar D. Margenov; Lubin Georgiev Vulkov; Jerzy Название: Numerical Analysis and Its Applications ISBN: 3642004636 ISBN-13(EAN): 9783642004636 Издательство: Springer Рейтинг: Цена: 97820.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Constitutes the refereed post-conference proceedings of the 4th International Conference on Numerical Analysis and Its Applications, NAA 2008, held in Lozenetz, Bulgaria in June 2008. This book addresses various aspects of numerical analysis and discusses a wide range of problems concerning achievements in physics, chemistry and engineering.
Автор: Ivan Dimov; Istv?n Farag?; Lubin Vulkov Название: Numerical Analysis and Its Applications ISBN: 3319570986 ISBN-13(EAN): 9783319570983 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book constitutes thoroughly revised selected papers of the 6th International Conference on Numerical Analysis and Its Applications, NAA 2016, held in Lozenetz, Bulgaria, in June 2016.
Автор: Yves Achdou; Guy Barles; Hitoshi Ishii; Grigory L. Название: Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications ISBN: 3642364322 ISBN-13(EAN): 9783642364327 Издательство: Springer Рейтинг: Цена: 41920.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Finite Difference Methods For Mean Field Games.- An Introduction to the Theory of Viscosity Solutions for First-Order Hamilton-Jacobi Equations and Applications.- A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton-Jacobi Equations.- Idempotent/Tropical Analysis, the Hamilton-Jacobi and Bellman Equations.
Автор: Younes Salehi, William E. Schiesser Название: Numerical Integration of Space Fractional Partial Differential Equations, Volume 2: Applications from Classical Integer PDEs ISBN: 1681732718 ISBN-13(EAN): 9781681732718 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 108110.00 T Наличие на складе: Невозможна поставка. 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 an introduction to Algorithms and Computer Coding in R.
"This book is suitable as a textbook for an introductory undergraduate mathematics course on discrete Fourier and wavelet transforms for students with background in calculus and linear algebra. The particular strength of this book is its accessibility to students with no background in analysis. The exercises and computer explorations provide the reader with many opportunities for active learning. Studying from this text will also help students strengthen their background in linear algebra."
Mathematical Association of America
This textbook for undergraduate mathematics, science, and engineering students introduces the theory and applications of discrete Fourier and wavelet transforms using elementary linear algebra, without assuming prior knowledge of signal processing or advanced analysis.
It explains how to use the Fourier matrix to extract frequency information from a digital signal and how to use circulant matrices to emphasize selected frequency ranges. It introduces discrete wavelet transforms for digital signals through the lifting method and illustrates through examples and computer explorations how these transforms are used in signal and image processing. Then the general theory of discrete wavelet transforms is developed via the matrix algebra of two-channel filter banks. Finally, wavelet transforms for analog signals are constructed based on filter bank results already presented, and the mathematical framework of multiresolution analysis is examined.
Автор: David Gottlieb, Steven A. Orszag Название: Numerical Analysis of Spectral Methods: Theory and Applications ISBN: 0898710235 ISBN-13(EAN): 9780898710236 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 59350.00 T Наличие на складе: Невозможна поставка. Описание: Provides a unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.
Автор: Giuseppe Patane Название: An Introduction to Laplacian Spectral Distances and Kernels: Theory, Computation, and Applications ISBN: 1681731398 ISBN-13(EAN): 9781681731391 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 47130.00 T Наличие на складе: Невозможна поставка. Описание: Provides a common background on the definition and computation of the Laplacian spectral kernels and distances for geometry processing and shape analysis. The book defines a unified representation of the isotropic and anisotropic discrete Laplacian operator on surfaces and volumes; then introduces the associated differential equations.
Автор: Ulrich Kulisch Название: Computer Arithmetic and Validity: Theory, Implementation, and Applications ISBN: 3110301733 ISBN-13(EAN): 9783110301731 Издательство: Walter de Gruyter Цена: 148700.00 T Наличие на складе: Невозможна поставка. Описание: This is the revised and extended second edition of the successful basic book on computer arithmetic. It is consistent with the newest recent standard developments in the field. The book shows how the arithmetic and mathematical capability of the digital computer can be enhanced in a quite natural way. The work is motivated by the desire and the need to improve the accuracy of numerical computing and to control the quality of the computed results (validity). The accuracy requirements for the elementary floating-point operations are extended to the customary product spaces of computations including interval spaces. The mathematical properties of these models are extracted into an axiomatic approach which leads to a general theory of computer arithmetic. Detailed methods and circuits for the implementation of this advanced computer arithmetic on digital computers are developed in part two of the book. Part three then illustrates by a number of sample applications how this extended computer arithmetic can be used to compute highly accurate and mathematically verified results. The book can be used as a high-level undergraduate textbook but also as reference work for research in computer arithmetic and applied mathematics.
Автор: L.-K. Hua; Y. Wang Название: Applications of Number Theory to Numerical Analysis ISBN: 3642678319 ISBN-13(EAN): 9783642678318 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Owing to the developments and applications of computer science, ma- thematicians began to take a serious interest in the applications of number theory to numerical analysis about twenty years ago. But in the past twenty years, a number of new methods have been devised of which the number theoretic method is an effective one.
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