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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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Book 2010be 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 Nyström Method / The Locally-Corrected Nyström Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities
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Introduction,d application in many disciplines; our focus is limited to two-dimensional, electromagnetic scattering problems that have a solution expressed as a scalar function of a single variable. The objective of this lecture is to introduce the reader to the Nyström and LCN methods and provide enough detail
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,The Classical Nyström Method,n perfectly conducting structures. For circular cylinder targets, a flat-cell faceted discretization is compared to using the actual circular surface. While we primarily employ open Gauss-Legendre quadrature, we also illustrate the use of closed trapezoid/Romberg quadrature rules.
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,The Locally-Corrected Nyström Method,s the “locally corrected” Nyström (LCN) method, was originally proposed in [1–3]. In contrast to the conventional Nyström method, the LCN enables a high accuracy discretization of integral operators whose kernels have either weak or strong singularities. The LCN will be applied to two-dimensional el
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Synthesis Lectures on Computational Electromagneticshttp://image.papertrans.cn/a/image/155564.jpg
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An Introduction to the Locally Corrected Nystrom Method978-3-031-01710-0Series ISSN 1932-1252 Series E-ISSN 1932-1716
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Ralf Bohnsack,Burkhard Schäffern perfectly conducting structures. For circular cylinder targets, a flat-cell faceted discretization is compared to using the actual circular surface. While we primarily employ open Gauss-Legendre quadrature, we also illustrate the use of closed trapezoid/Romberg quadrature rules.
发表于 2025-3-24 23:46:45 | 显示全部楼层
,The Classical Nyström Method,n perfectly conducting structures. For circular cylinder targets, a flat-cell faceted discretization is compared to using the actual circular surface. While we primarily employ open Gauss-Legendre quadrature, we also illustrate the use of closed trapezoid/Romberg quadrature rules.
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