A product integration rule for hypersingular integrals on (0,+∞)
نویسندگان
چکیده
منابع مشابه
Numerical methods for hypersingular integrals on the real line
In the present paper the authors propose two numerical methods to approximate Hadamard transforms of the type Hp( f wβ , t) = ∫ = R f (x) (x − t)p+1 wβ (x)d x , where p is a nonnegative integer and wβ (x) = e−|x | β , β > 1, is a Freud weight. One of the procedures employed here is based on a simple tool like the “truncated” Gaussian rule conveniently modified to remove numerical cancellation a...
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ژورنال
عنوان ژورنال: ETNA - Electronic Transactions on Numerical Analysis
سال: 2019
ISSN: 1068-9613,1068-9613
DOI: 10.1553/etna_vol50s129