| An Introduction to the Locally Corrected Nystrom Method Contributor(s): Peterson, Andrew (Author), Bibby, Malcolm (Author) |
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ISBN: 1608452999 ISBN-13: 9781608452996 Publisher: Morgan & Claypool OUR PRICE: $38.00 Product Type: Paperback - Other Formats Published: January 2010 * Not available - Not in print at this time * |
| Additional Information |
| BISAC Categories: - Technology & Engineering | Electronics - General - Mathematics | Calculus |
| Dewey: 515.45 |
| Series: Synthesis Lectures on Computational Electromagnetics |
| Physical Information: 0.24" H x 7.5" W x 9.25" (0.47 lbs) 116 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This lecture provides a tutorial introduction to the Nystr m and locally-corrected Nystr m 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 Nystr m method is summarized, and applied to the magnetic field equation for illustration. To obtain high order accuracy in the numerical results, the locally-corrected Nystr m 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 Nystr m Method / The Locally-Corrected Nystr m Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities |