Approximate Methods and Numerical Analysis for Elliptic Complex Equation: 1st Edition (Hardback) book cover

Approximate Methods and Numerical Analysis for Elliptic Complex Equation

1st Edition

Edited by Guo Chun Wen

CRC Press

248 pages

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Hardback: 9789056991357
pub: 1999-06-11
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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.

Table of Contents

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

About the Series

Modern Analysis Series

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Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Differential Equations