Modern numerical computation methods

Author: Xiao Xiaonan
Publisher:
Publish Date: 2003-07-01
Features: This book is written as a textbook for the "Numerical Computation Methods" course offered to undergraduate and graduate students in science and engineering disciplines. It systematically introduces commonly used numerical analysis theories, methods, and related applications in modern scientific and engineering computing, including error analysis, direct and iterative methods for solving systems of linear equations, numerical integration and differentiation, and numerical methods for solving initial value problems of ordinary differential equations. The book features original material, rigorous exposition, rich content, clear emphasis on key points, detailed derivations, logical structure, easy-to-understand explanations, and inspirational insights, making it convenient for both teaching and self-study. To strengthen students' foundational knowledge and comprehensive abilities, each chapter concludes with a summary and selects a substantial number of algorithmic examples, C programming exercises, review questions, and comprehensive practice problems to help readers consolidate, review, and apply the knowledge learned. At the end of the book, answers and hints to the exercises are provided for reference by both instructors and students. This book can serve as a textbook or teaching reference for "Numerical Computation Methods" courses for undergraduate and graduate students in science and engineering disciplines, as well as for scientists and engineers engaged in numerical computation. This book is written as a textbook for the "Numerical Computation Methods" course offered to undergraduate and graduate students in science and engineering disciplines. It systematically introduces commonly used numerical analysis theories, methods, and related applications in modern scientific and engineering computing, including error analysis, direct and iterative methods for solving systems of linear equations, numerical integration and differentiation, and numerical methods for solving initial value problems of ordinary differential equations. The book features original material, rigorous exposition, rich content, clear emphasis on key points, detailed derivations, logical structure, easy-to-understand explanations, and inspirational insights, making it convenient for both teaching and self-study. To strengthen students' foundational knowledge and comprehensive abilities, each chapter concludes with a summary and selects a substantial number of algorithmic examples, C programming exercises, review questions, and comprehensive practice problems to help readers consolidate, review, and apply the knowledge learned. At the end of the book, answers and hints to the exercises are provided for reference by both instructors and students. This book can serve as a textbook or teaching reference for "Numerical Computation Methods" courses for undergraduate and graduate students in science and engineering disciplines, as well as for scientists and engineers engaged in numerical computation.