Approximate Methods and Numerical Analysis for Elliptic Complex Equation

1. Auflage 1999
ISBN: 978-90-5699-135-7
Verlag: CRC Press

Buch, Englisch, 248 Seiten, Format (B × H): 154 mm x 234 mm, Gewicht: 544 g

Reihe: Modern Analysis Series

Numerical methods for elliptic partial differential equations have been the subject of many books in recent years, but few have treated the subject of complex equations. In this important new book, the author introduces the theory of, and approximate methods for, nonlinear elliptic complex equations in multiple connected domains. Constructive methods are systematically applied to proper boundary value problems which include very general boundary conditions. Approximate and numerical methods, such as the Newton imbedding method, the continuity method, the finite element method, the difference method and the boundary integral method, as well as their applications, are discussed in detail. The book will be of interest to all scientists studying the theory or applications of complex analysis.

Autoren/Hrsg.

Wen, Guo Chun

Chun Wen, Guo

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis

Inhaltsverzeichnis

1. Well Posednesses and Solvability of Elliptic Boundary Value Problems 2. Approximate Methods for Solving Elliptic Complex Equations 3. Finite Element Methods for Elliptic Complex Equations 4. Finite Difference Methods for Elliptic Equations 5. Boundary Integral Methods for Elliptic Equations 6. Applications of Approximate Methods and Numerical Analysis to Mechanics and Physics