Computation of Gaussian quadrature rules from modified moments
نویسندگان
چکیده
منابع مشابه
On the Construction of Gaussian Quadrature Rules from Modified Moments
Given a weight function a>(x) on (a, ß), and a system of polynomials {p*(x)}"=oi with degree pk{x) = k, we consider the problem of constructing Gaussian quadrature rules fff(x)w(x)dx = Yf= i V/ift"') from "modified moments" vk = ^pk(x)w(x)dx. Classical procedures take pk{x) = xk, but suffer from progressive ill-conditioning as n increases. A more recent procedure, due to Sack and Donovan, takes...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1979
ISSN: 0377-0427
DOI: 10.1016/0377-0427(79)90008-6