Oscillatory Quadratures Based on the Tau Method
نویسندگان
چکیده
منابع مشابه
Gaussian quadratures for oscillatory integrands
We consider a Gaussian type quadrature rule for some classes of integrands involving highly oscillatory functions of the form f (x) = f 1 (x) sin ζ x + f 2 (x) cos ζ x, where f 1 (x) and f 2 (x) are smooth, ζ ∈ R. We find weights σ ν and nodes x ν , ν = 1, 2,. .. , n, in a quadrature formula of the form 1 −1 f (x) dx ≈ n ν=1 σ ν f (x ν) such that it is exact for all polynomials f 1 (x) and f 2 ...
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ژورنال
عنوان ژورنال: Journal of Mathematics Research
سال: 2013
ISSN: 1916-9809,1916-9795
DOI: 10.5539/jmr.v5n3p56