Numerical Analysis Tutorial

Author: Liu Chang'an
Publisher:
Publish Date: 2005-08-01
Features: This book first introduces the content of numerical analysis research, the characteristics of computer number systems, error theory, the concepts of well-posedness, conditioning, and algorithmic stability of numerical problems. It then introduces common algorithms for solving various numerical problems on computers, providing detailed theoretical analysis of the basic principles, convergence, convergence rates, error estimation, numerical stability, and the advantages and disadvantages of the algorithms. The book is divided into ten chapters, including Introduction, Direct Methods for Solving Systems of Linear Algebraic Equations, Conditioning of Systems and Solving Inconsistent Systems, Iterative Methods for Solving Systems of Linear Equations, Solving Matrix Eigenvalue Problems, Interpolation Methods, Function Approximation, Numerical Integration and Numerical Differentiation, Solving Nonlinear Equations (Systems), and Numerical Methods for Solving Ordinary Differential Equations.