Theory and Modern Applications
Table 5 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 |
|---|---|---|---|
\(\hat{u}_{10}\) | −1.194519628297830 | −0.601189820467772 | −0.156767445549832 |
\(\hat{u}_{100}\) | −0.902665658196492 | −0.496591018161909 | −0.094652542268498 |
\(\hat{u}_{1000}\) | −0.900369341742219 | −0.499656299326138 | −0.099458627117756 |
u | −0.9 | −0.5 | −0.1 |