scattering of an incoming wave train by a discontinuity at the upper surface of the ocean over a uniform porous bottom of finite depth is considered here in the framework of linearized water wave theory. by employing residue calculus method, the reflection and transmission coefficient are obtained. these coefficients are computed numerically for different values of the porosity parameter g and ...

We present a new algorithm in order to compute the multidimensional residue of a polynomial map based on a perturbation argument and the Generalized Transformation Law. Then we use it for studying some fundamental problems in Computer Aided Geometric Design.

where h is the maximal size in the sense of Mahler of the pj . There does not seem to exist so far an Arithmetic Division Theory that could provide good estimates for the Faltings heights of the cycles corresponding to qj or for the maximal Mahler size of the qj . Nevertheless, using analytic methods based on the existence of integral representation formulas in Complex Analysis and multidimensi...