.. py:function:: laplacian(fs) Computes the Laplacian of each field in ``fs``. :param fs: input fieldset :type fs: :class:`Fieldset` :rtype: :class:`Fieldset` The computations for a field f are based on the following formula: .. math:: \triangle f =\frac{1}{R^2 \ cos^2\phi}\frac{\partial^2 f}{\partial \lambda^2} + \frac{1}{R^2}\frac{\partial^2 f}{\partial \phi^2} - \frac{1}{R^2}tan\phi\frac{\partial f}{\partial \phi} where: * R: radius of the Earth * :math:`\phi`: latitude * :math:`\lambda`: longitude. The derivatives are computed with a second order finite-difference approximation. The resulting fields contain missing values on the poles. .. warning:: :func:`laplacian` is only implemented for regular latitude-longitude grids.
.. mv-minigallery:: laplacian