Numerical methods for differential equations

Author: Tang Huaimin
Publisher:
Publish Date: 2000-01-01
Features: This book is divided into three parts: Numerical Methods for Ordinary Differential Equations, Finite Difference Methods for Partial Differential Equations, and Finite Element Methods, totaling seven chapters. The content includes numerical solutions for initial value problems of ordinary differential equations, finite difference methods for elliptic, parabolic, and hyperbolic equations, variational principles for boundary value problems, the basic structure of finite element methods, and further discussions. The book elucidates the fundamental ideas of constructing numerical methods through typical and effective approaches, describes necessary basic concepts as accurately as possible, and includes exercises and summaries at the end of each chapter, 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 a reference for self-study and advanced training for professionals engaged in scientific and engineering computations.