Numerical computation methods for development equations

Author: Huang Mingyou
Publisher:
Publish Date: 2004-06-01
Features: This book introduces the principles and computational methods for solving the numerical solutions of development equations, including the approaches and methods for discretizing the initial-boundary value problems of development equations, the design of computational formats, and solution algorithms, as well as theoretical analysis of numerical methods. The content of this book retains the effective traditional methods and classical theoretical results while emphasizing the introduction of new methods and new developments of traditional methods that have emerged in recent decades, reflecting the new progress and achievements in the research and application of numerical methods for development equations over the past few decades. Additionally, the book lists several practical application problems (mostly nonlinear and coupled problems). This book is suitable for reference by graduate students, teachers, and scientific and engineering computing professionals engaged in the application and research of scientific and engineering computations in fields such as computational mathematics, applied mathematics, and mechanics. This book introduces the principles and computational methods for solving the numerical solutions of development equations through several important and representative development equations, including the approaches and methods for discretizing the initial-boundary value problems of development equations, the design of computational formats, and solution algorithms, as well as theoretical analysis of numerical methods.