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Titlebook: An Introduction to the Locally Corrected Nystrom Method; Andrew F. Peterson,Malcolm M. Bibby Book 2010 Springer Nature Switzerland AG 2010

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期刊全稱An Introduction to the Locally Corrected Nystrom Method
影響因子2023Andrew F. Peterson,Malcolm M. Bibby
視頻videohttp://file.papertrans.cn/156/155564/155564.mp4
學(xué)科分類Synthesis Lectures on Computational Electromagnetics
圖書封面Titlebook: An Introduction to the Locally Corrected Nystrom Method;  Andrew F. Peterson,Malcolm M. Bibby Book 2010 Springer Nature Switzerland AG 2010
影響因子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
Pindex Book 2010
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https://doi.org/10.1007/978-3-531-90741-3ile it is possible to generate rules with one or more nodes located outside the original domain of integration, they are undesirable since the integrand may not be defined there. Furthermore, to guard against unfavorable rounding errors associated with subtraction, it is desired that all the weights be positive.
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Europa – Politik – Gesellschafttely model edge singularities with the LCN: (1) basis functions incorporating the specific edge singularities, for use in synthesizing a “corrected” kernel, and (2) quadrature rules capable of integrating the singular degrees of freedom. The approach will be illustrated by several examples.
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