Numerical Methods for Differential Equations (Computational Mathematics Series)

Author: Li Likang
Publisher:
Publish Date: 2003-01-01
Features: This book is a professional basic course textbook for undergraduate students majoring in computational mathematics and its application software. It primarily discusses the numerical solution of differential equations, including the finite difference methods for ordinary differential equations and boundary value problems, the finite difference methods for evolutionary equations, variational problems, and the finite element method, as well as the fundamental theories and typical algorithm analyses in these areas. The book also appropriately introduces the latest research achievements in this field, such as superconvergence, multigrid methods, and domain decomposition methods. Additionally, it selects and includes a set of well-suited computational exercises closely tied to the textbook to enhance students' ability to connect theory with practice. This book can also serve as a textbook or teaching reference for corresponding majors in comprehensive universities, including science and engineering disciplines. It is also valuable for researchers in computational mathematics and other fields engaged in scientific and engineering computations.