MATLAB scientific computing

Author: (DE) Quattromoni / (DE) Saleri / Li Minbo
Publisher:
Publish Date: 2005-01-01
Features: This book introduces numerical computation methods for solving certain types of mathematical problems using computers. It primarily elaborates on how to compute the zeros and integrals of continuous functions, how to solve linear systems, how to use polynomials for function approximation, and how to construct accurate approximate solutions for differential equations. To make the content more vivid and concrete, the book consistently illustrates these concepts within the MATLAB programming environment. All the algorithms introduced in the book are demonstrated with programs, enabling readers to quantitatively evaluate the theoretical performance of these algorithms, such as stability, accuracy, and complexity in real time. For some of the problems that arise in the exercises and examples, the book also provides solutions, most of which are derived from practical applications. For related issues not covered in the book, references are provided at the end of each chapter to facilitate deeper understanding and further study.