000 03268nam a22005175i 4500
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
024 7 _a10.1007/978-3-031-01710-0
_2doi
050 4 _aT1-995
072 7 _aTBC
_2bicssc
072 7 _aTEC000000
_2bisacsh
072 7 _aTBC
_2thema
082 0 4 _a620
_223
100 1 _aPeterson, Andrew.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_986577
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.
300 _aXI, 103 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Computational Electromagnetics,
_x1932-1716
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
650 0 _aElectrical engineering.
_986578
650 0 _aTelecommunication.
_910437
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
710 2 _aSpringerLink (Online service)
_986584
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
856 4 0 _uhttps://doi.org/10.1007/978-3-031-01710-0
912 _aZDB-2-SXSC
942 _cEBK
999 _c85977
_d85977