1st Edition

Handbook of Analytic Computational Methods in Applied Mathematics

Edited By George Anastassiou Copyright 2000
    1048 Pages
    by Chapman & Hall

    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.

    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
    PĆ³lya-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

    Biography

    George Anastassiou