000 | 03268nam a22005175i 4500 | ||
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001 | 978-3-031-01710-0 | ||
003 | DE-He213 | ||
005 | 20240730164911.0 | ||
007 | cr nn 008mamaa | ||
008 | 220601s2010 sz | s |||| 0|eng d | ||
020 |
_a9783031017100 _9978-3-031-01710-0 |
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024 | 7 |
_a10.1007/978-3-031-01710-0 _2doi |
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072 | 7 |
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_aTBC _2thema |
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_a620 _223 |
100 | 1 |
_aPeterson, Andrew. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _986577 |
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245 | 1 | 3 |
_aAn Introduction to the Locally Corrected Nystrom Method _h[electronic resource] / _cby Andrew Peterson, Malcolm Bibby. |
250 | _a1st ed. 2010. | ||
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2010. |
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300 |
_aXI, 103 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aSynthesis Lectures on Computational Electromagnetics, _x1932-1716 |
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505 | 0 | _aIntroduction -- Classical Quadrature Rules -- The Classical Nyström Method -- The Locally-Corrected Nyström Method -- Generalized Gaussian Quadrature -- LCN Treatment of Edge Singularities. | |
520 | _aThis lecture provides a tutorial introduction to the Nyström and locally-corrected Nyström 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 Nyström method is summarized, and applied to the magnetic field equation for illustration. To obtain high order accuracy in the numerical results, the locally-corrected Nyström 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 Nyström Method / The Locally-Corrected Nyström Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities. | ||
650 | 0 |
_aEngineering. _99405 |
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650 | 0 |
_aElectrical engineering. _986578 |
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650 | 0 |
_aTelecommunication. _910437 |
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650 | 1 | 4 |
_aTechnology and Engineering. _986579 |
650 | 2 | 4 |
_aElectrical and Electronic Engineering. _986581 |
650 | 2 | 4 |
_aMicrowaves, RF Engineering and Optical Communications. _931630 |
700 | 1 |
_aBibby, Malcolm. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _986582 |
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710 | 2 |
_aSpringerLink (Online service) _986584 |
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773 | 0 | _tSpringer Nature eBook | |
776 | 0 | 8 |
_iPrinted edition: _z9783031005824 |
776 | 0 | 8 |
_iPrinted edition: _z9783031028380 |
830 | 0 |
_aSynthesis Lectures on Computational Electromagnetics, _x1932-1716 _986586 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-01710-0 |
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