Numerical computation methods

Author: Song Daicai
Publisher:
Publish Date: 2006-09-01
Features: This book is a university textbook that focuses on introducing fundamental methods of numerical computation related to modern topics. It emphasizes basic concepts, theories, and applications, particularly the implementation of numerical computation methods on computers. After studying this book, students should be able to fully master these methods and perform relevant scientific and engineering computations on computers. The book is divided into nine chapters, covering main topics such as interpolation and approximation, numerical integration and differentiation, direct and iterative methods for solving systems of linear algebraic equations, numerical methods for solving nonlinear equations, algebraic eigenvalue problems, and computational methods for initial value problems of ordinary differential equations. Each chapter includes a certain number of exercises, and the answers and hints to these exercises are provided at the end of the book. This book can be used as a textbook for undergraduate students in universities, as well as for graduate students in science and engineering disciplines, and for university students majoring in applied mathematics, physics, computer science, and other related fields. It can also serve as a reference book for scientists and engineers engaged in scientific and engineering computations. The book is divided into nine chapters, covering main topics such as interpolation and approximation, numerical integration and differentiation, direct and iterative methods for solving systems of linear algebraic equations, numerical methods for solving nonlinear equations, algebraic eigenvalue problems, and computational methods for initial value problems of ordinary differential equations.