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|Material Type:||Internet resource|
|Document Type:||Book, Internet Resource|
|All Authors / Contributors:||
Kendall E Atkinson
|Description:||xvi, 552 pages : illustrations ; 24 cm.|
|Contents:||Brief discussion of integral equations --
Degenerate kernel methods --
Projection methods --
Nyström method --
Solving multivariable integral equations --
Iteration methods --
Boundary integral equations on a smooth planar boundary --
Boundary integral equations on a piecewise smooth planar boundary --
Boundary integral equations in three dimensions.
|Series Title:||Cambridge monographs on applied and computational mathematics, 4.|
|Responsibility:||Kendall E. Atkinson.|
The final chapters focus on the numerical solution of boundary integral equation (BIE) reformulations of Laplace's equation, in both two and three dimensions. Two chapters are devoted to planar BIE problems, which include both existing methods and remaining questions. Practical problems for BIE such as the set up and solution of the discretized BIE are also discussed. Each chapter concludes with a discussion of the literature, and a large bibliography serves as an extended resource for students and researchers needing more information on solving particular integral equations.