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Gaussian quadrature formulas --- Mathematics --- Mathématiques --- Tables
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Angular momentum (Nuclear physics) --- Gaussian quadrature formulas. --- Neutron flux.
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"This companion piece to the author's 2018 book, A Software Repository for Orthogonal Polynomials, focuses on Gaussian quadrature and the related Christoffel function. The book makes Gauss quadrature rules of any order easily accessible for a large variety of weight functions and for arbitrary precision. It also documents and illustrates known as well as original approximations for Gauss quadrature weights and Christoffel functions. The repository contains 60+ datasets, each dealing with a particular weight function. Included are classical, quasi-classical, and, most of all, nonclassical weight functions and associated orthogonal polynomials." [Publisher]
Gaussian quadrature formulas --- Gauss, Formules de quadrature de --- Christoffel-Darboux formula --- Digital libraries --- Bibliothèques numériques --- Computer programs --- Logiciels
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Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowned for his pioneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the latter area. This three-volume set, Walter Gautschi: Selected Works with Commentaries, is a compilation of Gautschi’s most influential papers and includes commentaries by leading experts. The work begins with a detailed biographical section and ends with a section commemorating Walter’s prematurely deceased twin brother. This title will appeal to graduate students and researchers in numerical analysis, as well as to historians of science. Selected Works with Commentaries, Vol. 1 Numerical Conditioning Special Functions Interpolation and Approximation Selected Works with Commentaries, Vol. 2 Orthogonal Polynomials on the Real Line Orthogonal Polynomials on the Semicircle Chebyshev Quadrature Kronrod and Other Quadratures Gauss-type Quadrature Selected Works with Commentaries, Vol. 3 Linear Difference Equations Ordinary Differential Equations Software History and Biography Miscellanea Works of Werner Gautschi.
Differential equations --- Numerical analysis --- Mathematics --- Computer science --- Computer. Automation --- differentiaalvergelijkingen --- computers --- informatica --- wiskunde --- computerkunde --- numerieke analyse --- Orthogonal polynomials. --- Numerical integration. --- Chebyshev approximation. --- Gaussian quadrature formulas. --- Mathematicians. --- Gautschi, Walter.
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Number theory --- Gaussian quadrature formulas --- Nombres, Théorie des --- Gauss, Formules de quadrature de. --- History --- Histoire. --- Gauss, Carl Friedrich, --- Gauss, Carl Friedrich
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Number theory --- Nombres, Théorie des --- History --- Histoire. --- Pythagoras. --- Euclid. --- Pythagore --- Euclide --- Mathematics --- Mathématiques --- Arithmetic. --- L-functions. --- Arithmetic functions. --- Arithmétique. --- Fonctions L. --- Fonctions arithmétiques. --- Lejeune Dirichlet, Peter Gustav, --- Dirichlet, Peter Gustav Lejeune --- Number theory. --- Nombres, Théorie des. --- History. --- Euler, Leonhard --- Euler, Leonhard, --- Fermat's theorem --- Fermat, Théorème de. --- Fermat, Pierre de, --- Fermat, Pierre de --- Gaussian quadrature formulas --- Gauss, Formules de quadrature de. --- Gauss, Carl Friedrich, --- Gauss, Carl Friedrich
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Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowned for his pioneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the latter area. This three-volume set, Walter Gautschi: Selected Works with Commentaries, is a compilation of Gautschi’s most influential papers and includes commentaries by leading experts. The work begins with a detailed biographical section and ends with a section commemorating Walter’s prematurely deceased twin brother. This title will appeal to graduate students and researchers in numerical analysis, as well as to historians of science. Selected Works with Commentaries, Vol. 1 Numerical Conditioning Special Functions Interpolation and Approximation Selected Works with Commentaries, Vol. 2 Orthogonal Polynomials on the Real Line Orthogonal Polynomials on the Semicircle Chebyshev Quadrature Kronrod and Other Quadratures Gauss-type Quadrature Selected Works with Commentaries, Vol. 3 Linear Difference Equations Ordinary Differential Equations Software History and Biography Miscellanea Works of Werner Gautschi.
Numerical integration. --- Orthogonal polynomials. --- Gautschi, Walter. --- Integration, Numerical --- Mechanical quadrature --- Quadrature, Mechanical --- Mathematics. --- Computer science --- Approximation theory. --- Differential equations. --- Numerical analysis. --- History. --- Numerical Analysis. --- Mathematics of Computing. --- Approximations and Expansions. --- History of Mathematical Sciences. --- Ordinary Differential Equations. --- Definite integrals --- Interpolation --- Numerical analysis --- Computer science. --- Differential Equations. --- 517.91 Differential equations --- Differential equations --- Math --- Science --- Informatics --- Mathematical analysis --- Computer science—Mathematics. --- Annals --- Auxiliary sciences of history --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems --- Computer mathematics --- Electronic data processing --- Mathematics --- Chebyshev approximation. --- Gaussian quadrature formulas. --- Mathematicians.
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