Title | ||
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Quadrature formulas associated with rational modifications of the Chebyshev weight functions |
Abstract | ||
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Making use of the connection between quadrature formulas on the unit circle and the interval [-1, 1] recently established in [1], explicit expressions for the nodes and the weights of the Gaussian formulas associated with rational modifications of the Chebyshev weight functions, are given. Some illustrative numerical examples are also presented. |
Year | DOI | Venue |
---|---|---|
2006 | 10.1016/j.camwa.2005.10.004 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
quadrature formulas,quadrature formula,explicit expression,weight functions,chebyshev weight function,gaussian formula,orthogonal polynomials,unit circle,rational modification,illustrative numerical example,orthogonal polynomial,weight function | Chebyshev polynomials,Gauss–Kronrod quadrature formula,Chebyshev pseudospectral method,Mathematical analysis,Tanh-sinh quadrature,Numerical integration,Clenshaw–Curtis quadrature,Gauss–Jacobi quadrature,Mathematics,Gauss–Laguerre quadrature | Journal |
Volume | Issue | ISSN |
51 | 3-4 | Computers and Mathematics with Applications |
Citations | PageRank | References |
4 | 0.61 | 2 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
L. Darius | 1 | 4 | 0.61 |
P. González-Vera | 2 | 46 | 9.45 |
M. Jiménez Paiz | 3 | 18 | 3.14 |