Handbook of Analytic Computational Methods in Applied Mathematics

✍ Scribed by George Anastassiou (Editor)

• Publisher: Chapman and Hall/CRC
• Year: 2000
• Leaves: 1033
• Edition: 1
• Category: Library

✦ Synopsis

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 f

✦ Table of Contents

Degree of Approximation of Order Statistics Functional, Dependent Case. Regularization and Stabilization of Inverse Problems. Trapezoidal Type Rules from an Inequalities Point of View. Midpoint Type Rules from an Inequalities Point of View. A Unified Approach for Solving Equation, Part I: On Infinite Dimensional Spaces; Part II: On Finite Dimensional Spaces. Uniqueness for Spherically Convergent Multiple Trigonometric Series. Roundoff Error Analysis for Fast Trigonometric Transforms. Biorthogonal Local Trigonometric Bases. Polya-Type Inequalities. Limit Theorems and Best Constants in Approximation Theory. Approximation Theory in Random Setting. Approximation Theory in Fuzzy Setting. Global Smoothness Preservation by Multivariate Bernstein-Type Operators. Summation Kernels for Orthogonal Polynomial Systems. Digitized PDE Method for Data Restoration. Boundary Quadrature Formulas and Their Application. Value at Risk: Recent Advances. Asset and Liability Management: Recent Advances. Optimization Problems in Fair Division Theory. Binomial-Type Coefficients and Classical Approximation Processes. On Scattered Data Representations Using Bivariate Splines.