000 | 02891nam a22004815i 4500 | ||
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001 | 978-3-031-01517-5 | ||
003 | DE-He213 | ||
005 | 20240730165127.0 | ||
007 | cr nn 008mamaa | ||
008 | 220601s2011 sz | s |||| 0|eng d | ||
020 |
_a9783031015175 _9978-3-031-01517-5 |
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024 | 7 |
_a10.1007/978-3-031-01517-5 _2doi |
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_a621,382 _223 |
100 | 1 |
_aKovvali, Narayan. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _987549 |
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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. |
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300 |
_aVIII, 57 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aSynthesis Lectures on Algorithms and Software in Engineering, _x1938-1735 |
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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 |
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650 | 1 | 4 |
_aSignal, Speech and Image Processing. _931566 |
710 | 2 |
_aSpringerLink (Online service) _987552 |
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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 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-01517-5 |
912 | _aZDB-2-SXSC | ||
942 | _cEBK | ||
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_c86114 _d86114 |