Approximate Methods and Numerical Analysis for Elliptic Complex Equation

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Guo Chun Wen
CRC Press, Jun 11, 1999 - Mathematics - 248 pages
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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.
 

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Contents

Approximate Methods for Solving Elliptic Complex
45
Finite Element Methods for Elliptic Complex Equations
81
Finite Difference Methods for Elliptic Equations
121
Boundary Integral Methods for Elliptic Equations
151
Applications of Approximate Methods and Numerical
185
References
219
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