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008 220601s2014 sz | s |||| 0|eng d
020 _a9783031017162
024 7 _a10.1007/978-3-031-01716-2
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
_dES-MaUEC
050 4 _aQA295
_b2014 EB
100 1 _aFikioris, George J.
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9686222
_d1962-
245 1 0 _aSelected Asymptotic Methods with Applications to Electromagnetics and Antennas
_cby George Fikioris, Ioannis Tastsoglou, Odysseas Bakas
250 _a1st edition 2014
264 1 _aCham
_bSpringer International Publishing
_c2014
300 _a1 recurso en línea (XIX, 187 páginas)
336 _atexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
490 0 _aSynthesis Lectures on Computational Electromagnetics
_x1932-1716
505 0 _aPreface -- Introduction: Simple Asymptotic Approximations -- Asymptotic Approximations Defined -- Concepts from Complex Variables -- Laplace's Method and Watson's Lemma -- Integration by Parts and Asymptotics of Some Fourier Transforms -- Poisson Summation Formula and Applications -- Mellin-Transform Method for Asymptotic Evaluation of Integrals -- More Applications to Wire Antennas -- Authors' Biographies -- Index.
520 _aThis book describes and illustrates the application of several asymptotic methods that have proved useful in the authors' research in electromagnetics and antennas. We first define asymptotic approximations and expansions and explain these concepts in detail. We then develop certain prerequisites from complex analysis such as power series, multivalued functions (including the concepts of branch points and branch cuts), and the all-important gamma function. Of particular importance is the idea of analytic continuation (of functions of a single complex variable); our discussions here include some recent, direct applications to antennas and computational electromagnetics. Then, specific methods are discussed. These include integration by parts and the Riemann-Lebesgue lemma, the use of contour integration in conjunction with other methods, techniques related to Laplace's method and Watson's lemma, the asymptotic behavior of certain Fourier sine and cosine transforms, and the Poisson summation formula (including its version for finite sums). Often underutilized in the literature are asymptotic techniques based on the Mellin transform; our treatment of this subject complements the techniques presented in our recent Synthesis Lecture on the exact (not asymptotic) evaluation of integrals.
988 _aSynthesis Collection of Technology_2014
650 7 _2embne
_9138526
_aAntenas
_xModelos matemáticos
650 7 _2embne
_9137999
_aElectromagnetismo
_xModelos matemáticos
650 7 _2embne
_9405025
_aAnálisis numérico
700 1 _aTastsoglou, Ioannis,
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9686827
_d1986-
700 1 _aBakas, Odysseas N.,
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9686828
_d1989-
776 0 8 _iPrinted edition:
_z9783031005886
776 0 8 _iPrinted edition:
_z9783031028441
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-01716-2
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
998 _b02/2023
_dz
_esc
_zSI