Handbook of Analytic Computational Methods in Applied Mathematics: 1st Edition (Hardback) book cover

Handbook of Analytic Computational Methods in Applied Mathematics

1st Edition

Edited by George Anastassiou

Chapman and Hall/CRC

1,048 pages

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Hardback: 9781584881353
pub: 2000-06-27
eBook (VitalSource) : 9780429123610
pub: 2019-06-03
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Working computationally in applied mathematics is the very essence of dealing with real-world problems in science and engineering. Approximation theory-on the borderline between pure and applied mathematics- has always supplied some of the most innovative ideas, computational methods, and original approaches to many types of problems.

The first of its kind, the Handbook on Analytic-Computational Methods in Applied Mathematics comprises 22 self-contained chapters focused on various aspects of analytic computational methods in approximation theory and other related fields. The articles represent the leading research activities of contemporary, mainstream applied mathematics and address problems in a broad range of disciplines, from economics to statistics, dynamic programming, and engineering.

Table of Contents

Degree of Approximation of Order Statistics Functionals, Dependent Case, G.A. Anastassiou

Regularization and Stabilization of Inverse Problems, C.W. Groetsch

Trapezoidal Type Rules from an Inequalities Point of View, P. Cerone and S.S. Dragomir

Midpoint Type Rules from an Inequalities Point of View, P. Cerone and S.S. Dragomir

A Unified Approach for Solving Equations, Part I: On Infinite Dimensional Spaces, I.K. Argyros

A Unified Approach for Solving Equations, Part II: On Finite Dimensional Spaces, I.K. Argyros

Uniqueness for Spherically Convergent Multiple Trigonometric Series, J.M. Ash

Roundoff Error Analysis for Fast Trigonometric Transforms, M. Tasche anfd H. Zeuner

Biorthogonal Local Trigonometric Bases, K. Bittner

Pólya-Type Inequalities, C.E. Pearce, J. Pecaric, and S. Varosanec

Limit Theorems and Best Constants in Approximation Theory. Approximation Theory in Random Setting, M.I. Ganzburg

Approximation Theory in Fuzzy Setting, S.G. Gal

Global Smoothness Preservation by Multivariate Bernstein-Type Operators, J. de la Cal and A.M. Valle

Summation Kernels for Orthogonal Polynomial Systems, F. Filbir, R. Lasser, and J. Obermaier

Digitized PDE Method for Data Restoration, S. Osher and J. Shen

Boundary Quadrature Formulas and Their Application, T.-X. He

Value at Risk: Recent Advances, I.M. Khindanova and S. Rachev

Asset and Liability Management: Recent Advances, S. Rachev and Y. Tokat

Optimization Problems in Fair Division Theory, M. Dall'Aglio

Binomial-Type Coefficients and Classical Approximation Processes, M. Campiti

On Scattered Data Representations Using Bivariate Splines, D. Hong

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