Numerical Analysis and Experimental Learning Guidance

Author: Cai Dayong
Publisher:
Publish Date: 2001-09-01
Features: This book is a supplementary text for students and learners taking the "Numerical Analysis (or Computational Methods)" course. The content is organized according to the chapters of popular textbooks. In each chapter, it includes a brief overview of the main content of the chapter for reference during exercises or reviews. Then, a certain number of examples and exercises are provided in two levels, with some practical problems designed accordingly. The first level represents the basic requirements, roughly equivalent to the expectations for general university students; the second level is prepared for graduate students and readers with higher demands. For examples, the author strives to provide multiple solutions, while for exercises and practical problems, the author does not provide standard answers but offers hints when necessary, aiming to give readers a space to showcase their talents. Finally, 15 comprehensive case studies are provided for readers interested in further research. The target audience is senior undergraduate and graduate students in science and engineering fields, as well as reference material for technical professionals.
Stiff equations are commonly encountered in applied fields such as chemical engineering and power systems. They often contain fast and slow varying components, making it generally difficult to obtain satisfactory numerical solutions using conventional methods. Special algorithms must be designed.