Applied Physics and Mathematics Annotation << Back A method of computation of the green function for the laplace equation Konnikov I.A. A novel variant of an approximate analytical method of computation for a field described with the Laplace equation is proposed and set out for multi-layered media with flat parallel layers. The applied approach is based upon employing special properties of the Bessel functions, the Struve functions and the theta-function with approximating one of the cofactors in the integrand and an evaluation of the antiderivative for the integral representing the Green function. As a result, an approximate analytical method of integration with a variable step is proposed. The gist of the method is set out, its precision and computation capacity are assessed. Two variants of the corresponding techniques are drawn up. The first one is an alternative to the longestablished method based upon the Weber-Lipchitz identity, for great azimuth distances. The other one is implied to use some quadrature formula of numerical integration and is eligible for high-precision computing the Green function, being particularly preferred in case of the necessity of verifying other techniques which lose their precision at great azimuth distances. An elucidatory instance is supplied. Keywords: Green function, Laplace equation, Theta-function technique. Contacts: E-mail: konnikov_i@mail.ru Pp. 75-83.