As is the case with spherical coordinates, Laplace's equation may be solved by the method of separation of variables to yield solutions in the form of prolate ... Definition · Alternative definition · Alternative scale factors

A system of curvilinear coordinates in which two sets of coordinate surfaces are obtained by revolving the curves of the elliptic cylindrical coordinates ...

For instance, using prolate spheroidal coordinates allows one to derive the wavefunction of electrons moving in the field of two confocal nuclei. In ...

The wave equation transformed to prolate spheroidal coordinates ( ξ , η , φ ) , admits solutions where w 1 , w 2 , w 3 satisfy the differential equations.

17 июл. 2016 г. · I'm currently trying to solve Laplace's equation outside of a prolate spheroid. The scalar field has to vanish far from the spheroid. Prolate spheroidal coordinates and spheroidal harmonics ... Spheroidal coordinates parametrisation - Math Stack Exchange Modified Laplacian in oblate spheroidal coordinates. Другие результаты с сайта math.stackexchange.com

A system of Curvilinear Coordinates in which two sets of coordinate surfaces are obtained by revolving the curves of the Elliptic Cylindrical Coordinates.

In mathematics, prolate spheroidal wave functions are eigenfunctions of the Laplacian in prolate spheroidal coordinates, adapted to boundary conditions on ... Solutions to the wave equation · Band-limited signals

Prolate spheroidal coordinates define a coordinate system that results from rotating an ellipse about the axis on which the foci are located.

3 мар. 2000 г. · Prolates spheroidal coordinates µ, ν, φ are orthogonal coordinates well suited to certain problems. The φ co- ordinate is identical to the φ ...

12 янв. 2017 г. · In terms of the prolate spheroidal coordinates ( ξ , η , ϕ ) defined in the main text, the prolate spheroid is represented by ξ = ξ b ⁠. A unit ...