Handbook of Analytic Computational Methods in Applied Mathematics

by Anastassiou; George

• ISBN13: 9781584881353
• ISBN10: 1584881356
• Format: Hardcover
• Copyright: 2000-06-27
• Publisher: Chapman & Hall/

Summary

Working computationally in applied mathematics is the very essence of dealing with real-world problems in science and engineering. This Handbook - the first of its kind- contains 22 survey articles and 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 applied mathematics and address problems in a in a broad range of disciplines, including economics, statistics, dynamic programming, and engineering.

Table of Contents

Degree of Approximation of Order Statistics Functionals, Dependent Case	1	(30)
George A. Anastassiou
Regularization and Stabilization of Inverse Problems	31	(34)
Charles W. Groetsch
Trapeziodal-Type Rules from an Inequalities Point of View	65	(70)
Pietro Cerone
Sever S. Dragomir
Midpoint-Type Rules from an Inequalities Point of View	135	(66)
Pietro Cerone
Sever S. Dragomir
A Unified Approach for Solving Equations, Part I: On Infinite-Dimensional Spaces	201	(54)
Ioannis K. Argyros
A Unified Approach for Solving Equations, Part II: On Finite-Dimensional Spaces	255	(54)
Ioannis K. Argyros
Uniqueness for Spherically Convergent Multiple Trigonometric Series	309	(48)
J. Marshall Ash
Roundoff Error Analysis for Fast Trigonometric Transforms	357	(50)
Manfred Tasche
Hansmartin Zeuner
Biorthogonal Local Trigonometric Bases	407	(58)
Kai Bittner
Polya-Type Inequalities	465	(42)
Charles E. Pearce
Josip Pecaric
Sanja Varosanec
Limit Theorems and Best Constants in Approximation Theory	507	(64)
Michael I. Ganzburg
Approximation Theory in Random Setting	571	(46)
Sorin G. Gal
Approxmimation Theory in Fuzzy Setting	617	(50)
Sorin G. Gal
Global Smoothness Preservation by Multivariate Bernstein-Type Operators	667	(42)
Jesus de la Cal
Ana M. Valle
Summation Kernels for Orthogonal Polynomial Systems	709	(42)
Frank Filbir
Rupert Lasser
Josef Obermaier
Digitized PDE Method for Data Restoration	751	(22)
Stanley Osher
Jianhong Shen
Boundary Quadrature Formulas and Their Applications	773	(28)
Tian-Xiao He
Value at Risk: Recent Advances	801	(58)
Irina N. Khindanova
Svetlozar Rachev
Asset and Liability Management: Recent Advances	859	(50)
Svetlozar Rachev
Yesim Tokat
Optimization Problems in Fair Division Theory	909	(38)
Marco Dall'Aglio
Binomial-Type Coefficients and Classical Approximation Processes	947	(50)
Michele Campiti
On Scattered Data Representations Using Bivariate Splines	997	(34)
Don Hong
Index	1031