单词 | Chebyshev Quadrature | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
释义 | Chebyshev QuadratureA Gaussian Quadrature-like Formula for numerical estimation of integrals. It uses Weighting Function ![]() The Abscissas are found by taking terms up to ![]() ![]() and then defining ![]() The Roots of ![]() ![]() Because the Roots are all Real for ![]() ![]() ![]() where ![]() The first few values of ![]() ![]() ![]()
The Abscissas and weights can be computed analytically for small
Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 466, 1987. Hildebrand, F. B. Introduction to Numerical Analysis. New York: McGraw-Hill, pp. 345-351, 1956. |
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