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020 _a9783031015175
024 7 _a10.1007/978-3-031-01517-5
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
_dES-MaUEC
050 4 _aQA299.4.G3
_b2011 EB
100 1 _aKovvali, Narayan V. S. K.
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9686557
245 1 0 _aTheory and Applications of Gaussian Quadrature Methods
_cby Narayan Kovvali
250 _a1st edition 2011
264 1 _aCham
_bSpringer International Publishing
_c2011
300 _a1 recurso en línea (VIII, 57 páginas)
336 _atexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
490 0 _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.
988 _aSynthesis Collection of Technology_2011
650 7 _2embne
_9405025
_aAnálisis numérico
650 7 _2embne
_9160958
_aAproximación, Teoría de la
776 0 8 _iPrinted edition:
_z9783031003899
776 0 8 _iPrinted edition:
_z9783031026454
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-01517-5
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
998 _b02/2023
_dz
_eIG
_zSI