Numerical Analysis Principles

Author: Feudal Hu
Publisher:
Publish Date: 2002-05-01
Features: This book systematically introduces commonly used numerical computation methods and their relevant theories and applications in modern science and engineering computing. The book is divided into 9 chapters, including error analysis, function interpolation, function approximation, numerical integration and numerical differentiation, direct and iterative methods for solving systems of linear equations, numerical methods for solving nonlinear equations, computation of matrix eigenvalues and eigenvectors, and numerical methods for solving initial value problems of ordinary differential equations, among others. The book presents clear and accurate basic concepts, rigorous theoretical analysis, and easy-to-understand language. Its structure is arranged from simple to complex, emphasizing inspiration. The book consistently follows a fundamental concept that mathematically equivalent methods are often not equivalent in practical numerical computations. Therefore, the book selects a large number of computational examples to illustrate the advantages, disadvantages, and characteristics of various numerical methods. Each chapter also includes a certain number of exercises for readers to practice. Target Audience: Graduate students in engineering disciplines and undergraduate students in various mathematics departments of higher education institutions, as well as researchers engaged in scientific and engineering computing.