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020 _a9783031015175
_9978-3-031-01517-5
024 7 _a10.1007/978-3-031-01517-5
_2doi
050 4 _aTK5102.9
072 7 _aTJF
_2bicssc
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072 7 _aTEC067000
_2bisacsh
072 7 _aTJF
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082 0 4 _a621,382
_223
100 1 _aKovvali, Narayan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_987549
245 1 0 _aTheory and Applications of Gaussian Quadrature Methods
_h[electronic resource] /
_cby Narayan Kovvali.
250 _a1st ed. 2011.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2011.
300 _aVIII, 57 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 Algorithms and Software in Engineering,
_x1938-1735
505 0 _aIntroduction -- Approximating with Polynomials and Related Functions -- Gaussian Quadrature -- Applications -- Links to Mathematical Software.
520 _aGaussian quadrature is a powerful technique for numerical integration that falls under the broad category of spectral methods. The purpose of this work is to provide an introduction to the theory and practice of Gaussian quadrature. We study the approximation theory of trigonometric and orthogonal polynomials and related functions and examine the analytical framework of Gaussian quadrature. We discuss Gaussian quadrature for bandlimited functions, a topic inspired by some recent developments in the analysis of prolate spheroidal wave functions. Algorithms for the computation of the quadrature nodes and weights are described. Several applications of Gaussian quadrature are given, ranging from the evaluation of special functions to pseudospectral methods for solving differential equations. Software realization of select algorithms is provided. Table of Contents: Introduction / Approximating with Polynomials and Related Functions / Gaussian Quadrature / Applications / Links to Mathematical Software.
650 0 _aSignal processing.
_94052
650 1 4 _aSignal, Speech and Image Processing.
_931566
710 2 _aSpringerLink (Online service)
_987552
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031003899
776 0 8 _iPrinted edition:
_z9783031026454
830 0 _aSynthesis Lectures on Algorithms and Software in Engineering,
_x1938-1735
_987554
856 4 0 _uhttps://doi.org/10.1007/978-3-031-01517-5
912 _aZDB-2-SXSC
942 _cEBK
999 _c86114
_d86114