An Introduction to the Locally Corrected Nystrom Method (Paperback)

This lecture provides a tutorial introduction to the Nystroem and locally-corrected Nystroem methods when used for the numerical solutions of the common integral equations of two-dimensional electromagnetic fields. These equations exhibit kernel singularities that complicate their numerical solution. Classical and generalized Gaussian quadrature rules are reviewed. The traditional Nystroem method is summarized, and applied to the magnetic field equation for illustration. To obtain high order accuracy in the numerical results, the locally-corrected Nystroem method is developed and applied to both the electric field and magnetic field equations. In the presence of target edges, where current or charge density singularities occur, the method must be extended through the use of appropriate singular basis functions and special quadrature rules. This extension is also described. Table of Contents: Introduction / Classical Quadrature Rules / The Classical Nystroem Method / The Locally-Corrected Nystroem Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Synthesis Lectures on Computational Electromagnetics
Release date:	November 2009
First published:	2010
Authors:	Andrew Peterson • Malcolm Bibby
Dimensions:	235 x 191mm (L x W)
Format:	Paperback
Pages:	103
ISBN-13:	978-3-03-100582-4
Languages:	English
Subtitles:	English
Categories:	Books > Professional & Technical > Technology: general issues > Engineering: general Books > Professional & Technical > Energy technology & engineering > Electrical engineering > General Books > Professional & Technical > Electronics & communications engineering > Electronics engineering > Microwave technology Promotions
LSN:	3-03-100582-1
Barcode:	9783031005824

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