Theory and Modern Applications
Table 7 Approximations at \(\pmb{x=-0.9,-0.5,-0.1}\) for \(\pmb{u(x)-\int_{-1}^{1}\frac{u(y)}{(y-x)}\,dy=f(x)}\)
From: Fast multipole method for singular integral equations of second kind
x | −0.9 | −0.5 | −0.1 |
|---|---|---|---|
\(\hat{u}_{10}\) | −0.608896542845208 | −0.143953205178288 | −0.019345651255813 |
\(\hat{u}_{100}\) | −0.400907820963934 | −0.096826636160551 | −0.002238964950304 |
\(\hat{u}_{1000}\) | −0.402641823825626 | −0.099675717661578 | −0.001102497056280 |
u | −0.402762430939227 | −0.100000000000000 | −0.000990099009901 |