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Interpolation Processes, Giuseppe Mastroianni; Gradimir Milovanovic


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Автор: Giuseppe Mastroianni; Gradimir Milovanovic
Название:  Interpolation Processes
ISBN: 9783642087943
Издательство: Springer
Классификация: ISBN-10: 3642087949
Обложка/Формат: Paperback
Страницы: 460
Вес: 0.64 кг.
Дата издания: 2008
Серия: Springer Monographs in Mathematics
Язык: English
Размер: 234 x 156 x 24
Читательская аудитория: Science
Ссылка на Издательство: Link
Поставляется из: Германии
Описание: Interpolation of functions is one of the basic part of Approximation Theory. There are many books on approximation theory, including interpolation methods that - peared in the last fty years, but a few of them are devoted only to interpolation processes. An example is the book of J. Szabados and P. V rtesi: Interpolation of Functions, published in 1990 by World Scienti c. Also, two books deal with a special interpolation problem, the so-called Birkhoff interpolation, written by G.G. Lorentz, K. Jetter, S.D. Riemenschneider (1983) and Y.G. Shi (2003). The classical books on interpolation address numerous negative results, i.e., - sultsondivergentinterpolationprocesses, usuallyconstructedoversomeequidistant system of nodes. The present book deals mainly with new results on convergent - terpolation processes in uniform norm, for algebraic and trigonometric polynomials, not yet published in other textbooks and monographs on approximation theory and numerical mathematics. Basic tools in this eld (orthogonal polynomials, moduli of smoothness, K-functionals, etc.), as well as some selected applications in numerical integration, integral equations, moment-preserving approximation and summation of slowly convergent series are also given. The rstchapterprovidesanaccountofbasicfactsonapproximationbyalgebraic and trigonometric polynomials introducing the most important concepts on appro- mation of functions. Especially, in Sect. 1.4 we give basic results on interpolation by algebraic polynomials, including representations and computation of interpolation polynomials, Lagrange operators, interpolation errors and uniform convergence in some important classes of functions, as well as an account on the Lebesgue function and some estimates for the Lebesgue constant.


Interpolation and Extrapolation Optimal Designs V1: Polynomial Regression and Approximation Theory

Автор: Giorgio Celant, Michel Broniatowski
Название: Interpolation and Extrapolation Optimal Designs V1: Polynomial Regression and Approximation Theory
ISBN: 1848219954 ISBN-13(EAN): 9781848219953
Издательство: Wiley
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Цена: 22010.00 р.
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Описание:

This book is the first of a series which focuses on the interpolation and extrapolation of optimal designs, an area with significant applications in engineering, physics, chemistry and most experimental fields.

In this volume, the authors emphasize the importance of problems associated with the construction of design. After a brief introduction on how the theory of optimal designs meets the theory of the uniform approximation of functions, the authors introduce the basic elements to design planning and link the statistical theory of optimal design and the theory of the uniform approximation of functions.

The appendices provide the reader with material to accompany the proofs discussed throughout the book.

Smoothed Point Interpolation Methods: G Space Theory and Weakened Weakforms

Автор: Liu G-R, Zhang G-Y
Название: Smoothed Point Interpolation Methods: G Space Theory and Weakened Weakforms
ISBN: 981445284X ISBN-13(EAN): 9789814452847
Издательство: World Scientific Publishing
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Цена: 34848.00 р.
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Описание: Based on the widely used finite element method (FEM) and the latest Meshfree methods, a next generation of numerical method called Smoothed Point Interpolation Method (S-PIM) has been recently developed. The S-PIM is an innovative and effective combination of the FEM and the meshfree methods, and enables automation in computation, modeling and simulations -- one of the most important features of the next generation methods. This important book describes the various S-PIM models in a systematic, concise and easy-to-understand manner. The underlying principles for the next generation of computational methods, G space theory, novel weakened weak (W2) formulations, techniques for shape functions, formulation procedures, and implementation strategies are presented in detail. Numerous examples are provided to demonstrate the efficiency and accuracy of the S-PIM solutions in comparison with the FEM and other existing methods. Effective techniques to compute solution bounds employing both S-PIM and FEM are highlighted to obtain certified solutions with both upper and lower bounds.The book also presents a systematically way to conduct adaptive analysis for solutions of desired accuracy using these bound properties, which is another key feature of the next generation of computational methods. This will benefit researchers, engineers and students who are venturing into new areas of research and computer code development.

Interpolation and Regression Models for the Chemical Engineer

Автор: Buzzi-ferraris, Guido Manenti, Flavio
Название: Interpolation and Regression Models for the Chemical Engineer
ISBN: 3527326529 ISBN-13(EAN): 9783527326525
Издательство: Wiley
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Цена: 17099.00 р.
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Описание: * Teaches engineers and scientists how to use the latest and mostpowerful numerical methods for their daily work * The second book in a suite of four practical guides- anengineer`s companion to using numerical methods for the solution ofcomplex mathematical problems.

Nonlinear Interpolation And Boundary Value Problems

Автор: Eloe Paul W Et Al
Название: Nonlinear Interpolation And Boundary Value Problems
ISBN: 9814733474 ISBN-13(EAN): 9789814733472
Издательство: World Scientific Publishing
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Цена: 13939.00 р.
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Описание: This book is devoted to the study of boundary value problems for nonlinear ordinary differential equations and focuses on questions related to the study of nonlinear interpolation.

Iterative-Interpolation Super-Resolution Image Reconstruction

Автор: Vivek Bannore
Название: Iterative-Interpolation Super-Resolution Image Reconstruction
ISBN: 3642101453 ISBN-13(EAN): 9783642101458
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This book presents a novel, hybrid, computationally-efficient reconstruction scheme for solving the problem of super-resolution restoration of high-resolution images from sequences of geometrically warped, aliased and under-sampled low-resolution images.


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