hennig2d¶
- probnum.problems.zoo.quad.hennig2d(c=None)[source]¶
The two-dimensional hennig function integrated wrt the Lebesgue measure. 1
The integrand is
\[f(x) = e^{-x^{\intercal}c x -\sin(3\|x\|^2)}\]on the domain \(\Omega=[-3, 3]^2\). Above, \(c\) is the
c
parameter.- Parameters
c (Optional[ndarray]) – A positive definite matrix of shape (2, 2). Defaults to [[1, .5], [.5, 1]].
- Returns
The quadrature problem.
- Return type
quad_problem
References