Numerical methods

Author: Guan Zhi
Publisher:
Publish Date: 2006-02-01
Features: This textbook is written for the Numerical Analysis course for engineering master's students. It systematically introduces the fundamental methods and theories of numerical analysis. The selection of materials focuses on the basics and emphasizes how methods are implemented on computers, while also discussing mathematical models related to numerical computation in practical problems. The first chapter of the book serves as an introduction to mathematical models and general issues of numerical computation, while the subsequent chapters cover topics such as direct and iterative methods for solving systems of linear algebraic equations, numerical methods for solving nonlinear equations and systems, computational methods for matrix eigenvalue problems, interpolation and approximation of functions, numerical integration and differentiation, and numerical methods for solving initial value problems of ordinary differential equations. Each chapter includes illustrative examples of relevant mathematical models, followed by exercises and computational practice problems at the end of the chapter. The book also provides a brief introduction to MATLAB, the tool used for computational practice. This textbook can be used as a teaching material for master's students in engineering, as well as for undergraduate or graduate students in other science and engineering disciplines. It is also a valuable reference for engineering technicians and researchers.