000 03079nam a22005175i 4500
001 978-3-031-01717-9
003 DE-He213
005 20240730164109.0
007 cr nn 008mamaa
008 220601s2014 sz | s |||| 0|eng d
020 _a9783031017179
_9978-3-031-01717-9
024 7 _a10.1007/978-3-031-01717-9
_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
_982095
245 1 0 _aAccurate Computation of Mathieu Functions
_h[electronic resource] /
_cby Andrew Peterson, Malcolm Bibby.
250 _a1st ed. 2014.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aX, 123 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 -- Mathieu Functions -- Observed Accuracy Using Traditional and Tuned Methods -- Recommended Algorithm for Mathieu Function Computation -- Electromagnetic Scattering from Conducting Elliptic Cylinders -- Electromagnetic Scattering from an Infinite Conducting Strip -- References -- Authors' Biographies.
520 _aThis lecture presents a modern approach for the computation of Mathieu functions. These functions find application in boundary value analysis such as electromagnetic scattering from elliptic cylinders and flat strips, as well as the analogous acoustic and optical problems, and many other applications in science and engineering. The authors review the traditional approach used for these functions, show its limitations, and provide an alternative "tuned" approach enabling improved accuracy and convergence. The performance of this approach is investigated for a wide range of parameters and machine precision. Examples from electromagnetic scattering are provided for illustration and to show the convergence of the typical series that employ Mathieu functions for boundary value analysis.
650 0 _aEngineering.
_99405
650 0 _aElectrical engineering.
_982096
650 0 _aTelecommunication.
_910437
650 1 4 _aTechnology and Engineering.
_982097
650 2 4 _aElectrical and Electronic Engineering.
_982098
650 2 4 _aMicrowaves, RF Engineering and Optical Communications.
_931630
700 1 _aBibby, Malcolm.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_982099
710 2 _aSpringerLink (Online service)
_982100
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031005893
776 0 8 _iPrinted edition:
_z9783031028458
830 0 _aSynthesis Lectures on Computational Electromagnetics,
_x1932-1716
_982101
856 4 0 _uhttps://doi.org/10.1007/978-3-031-01717-9
912 _aZDB-2-SXSC
942 _cEBK
999 _c85297
_d85297