On error estimation of automatic quadrature scheme for the evaluation of Hadamard integral of second order singularity.
This paper presents an automatic quadrature scheme (AQS) for the evaluation of hypersingular integrals (HSI) Qi(f, x) = ∫-1 1 wi(t)f(t)/(t - x)2 dt, x ∈ [-1, 1], i = 0, 1, 2, (1) where w0(t) = 1, w1(t) = √1 - t2, w2(t) = √1/1-t2 are the weights, and the given function f imperative to have certain sm...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Politechnica University of Bucharest
2013
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