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How to integrate the $L^2$ function $1/|x|$ numerically
Let $f=\frac{1}{|x|},x\in\mathbb{R^3}$ and $\Omega=[-b,b]^3$. How to construct a quadrature scheme to solve
$$
\int_\Omega f\phi\psi dx\quad ?
$$
where $\phi\psi$ is smooth function.
I know there e …