ABSTRACT

This second edition includes eleven new sections based on the approximation of matrix functions, deflating the solution space and improving the accuracy of approximate solutions, iterative solution of initial value problems of systems of ordinary differential equations, and the method of trial functions for boundary value problems. The topics of th

part I|2 pages

I Data approximations

chapter 1|20 pages

Classical interpolation methods

chapter 2|38 pages

Approximation with splines

chapter 3|18 pages

Least squares approximation

chapter 4|26 pages

Approximation of functions

chapter 5|16 pages

Numerical differentiation

chapter 6|24 pages

Numerical integration

part II|2 pages

II Approximate solutions

chapter 7|18 pages

Nonlinear equations in one variable

chapter 8|14 pages

Systems of nonlinear equations

chapter 9|26 pages

Iterative solution of linear systems

chapter 10|26 pages

Approximate solution of eigenvalue problems

chapter 11|36 pages

Initial value problems

chapter 12|36 pages

Boundary value problems

chapter 13|28 pages

Integral equations

chapter 14|24 pages

Mathematical optimization