Spheroidal Coordinates

Some articles on spheroidal, spheroidal coordinates, coordinate:

Spheroidal Wave Function
... Spheroidal wave functions are solutions of the Helmholtz equation that are found by writing the equation in spheroidal coordinates and applying the technique of separation of variables ... They are called oblate spheroidal wave functions if oblate spheroidal coordinates are used and prolate spheroidal wave functions if prolate spheroidal coordinates are used ... instead of the Helmholtz equation, the Laplace equation is solved in spheroidal coordinates using the method of separation of variables, the spheroidal wave functions reduce to the ...
Prolate Spheroidal Wave Functions
... In mathematics, the prolate spheroidal wave functions are a set of functions derived by timelimiting and lowpassing, and a second timelimit operation ... The timelimited functions are the Prolate Spheroidal Wave Functions (PSWFs) ... equation, by the method of separation of variables in prolate spheroidal coordinates, with and ...
Prolate Spheroidal Coordinates
... Prolate spheroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating a spheroid around its major axis, i.e ... Rotation about the other axis produces the oblate spheroidal coordinates ... Prolate spheroidal coordinates can be used to solve various partial differential equations in which the boundary conditions match its symmetry and shape, such as solving ...