Numerical Methods for Differential Equations - (Second Edition)

Author: Hu Jianwei
Publisher:
Publish Date: 2007-02-01
Features: This book is the revised edition of the version, divided into three parts: Numerical Methods for Ordinary Differential Equations, Finite Difference Methods for Partial Differential Equations, and Finite Element Methods, with a total of eight chapters. The content includes numerical methods for initial value problems of ordinary differential equations, finite difference methods for elliptic, parabolic, and hyperbolic equations, numerical solutions of discrete equations, variational principles for boundary value problems, the basic process of finite element methods, and further discussions. The book progresses step by step from a relatively low starting point, elucidating the fundamental ideas of constructing numerical methods through typical and effective approaches, and describes the necessary basic concepts as accurately as possible. Each chapter includes exercises and summaries, and the answers and hints to the exercises are provided at the end of the book, making it suitable for both teaching and self-study. This book can serve as a textbook for undergraduate or graduate students in science and engineering, as well as for professionals engaged in scientific