Description
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
Table of Contents
Preface. Part I Data approximations. Classical interpolation methods. Approximation with splines. Least squares approximation. Approximation of functions. Numerical differentiation. Numerical integration. Part II Approximate solutions. Nonlinear equations in one variable. Systems of nonlinear equations. Iterative solution of linear systems. Approximate solution of eigenvalue problems. Initial value problems. Boundary value problems. Integral equations. Mathematical optimization.
