circulargaussian2d¶
- probnum.problems.zoo.quad.circulargaussian2d(m=None, v=None)[source]¶
The two-dimensional circular Gaussian integrated wrt the Lebesgue measure. [1]
The integrand is
\[f(x) = (2\pi v)^{-\frac{1}{2}} r^2 e^{-\frac{(r - m)^2}{2 v}}\]on the domain \(\Omega=[-3, 3]^2\). Above, \(v\) is the
v
parameter, \(m\) is them
parameter and \(r = \|x\|\) is the norm of the input vector \(x\).- Parameters:
- Returns:
The quadrature problem.
- Return type:
quad_problem
References