sombrero2d¶
- probnum.problems.zoo.quad.sombrero2d(w=None)[source]¶
The two-dimensional sombrero function integrated wrt the Lebesgue measure. [1]
The integrand is
\[f(x) = \frac{\operatorname{sin}(\pi r w)}{\pi r w}\]on the domain \(\Omega=[-3, 3]^2\). Above, \(w\) is the
w
parameter and \(r=\|x\|\) is the norm of the input vector \(x\).- Parameters:
w (float | Real | floating | None) – The positive frequency parameter. Defaults to 1.0.
- Returns:
The quadrature problem.
- Return type:
quad_problem
References