Code covered by the BSD License  

Highlights from
Curvilinear Coordinates

from Curvilinear Coordinates by Howard Wilson
Programs are presented which use symbolic math, curvilinear coordinates, and tensor concepts.

[X,names]=parab
function [X,names]=parab
% [X,names]=parab defines parabolic coordinates
syms u v p real; names=[u,v,p];
X=[u*v*cos(p); u*v*sin(p); (u^2-v^2)/2];

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