Prolate spheroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional elliptic coordinate ... 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 ...

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 ...

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

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

Definition of prolate spheroidal coordinates ξ , η , and ϕ . Values for the radial coordinate ξ = const. are surfaces of confocal ellipsoids of revolution ...

In mathematics, prolate spheroidal wave functions are eigenfunctions of the Laplacian in prolate spheroidal coordinates, adapted to boundary conditions on ...

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

Prolate spheroidal coordinates are a type of curvilinear coordinate system, especially useful in problems with a symmetry along two axes, similar to an ...

16 сент. 2014 г. · When considering the same modeling problem in prolate spheroidal coordinates, it becomes possible to obtain analytical representations in some ...