Moving Frame Method
The moving frame method can be used to construct numerical methods which preserve Lie symmetries of the ODE. Existing methods such as Runge-Kutta can be modified using moving frame method to produce invariant versions.
Read more about this topic: Geometric Integrator
Famous quotes containing the words moving, frame and/or method:
“I have often told you that I am that little fish who swims about under a shark and, I believe, lives indelicately on its offal. Anyway, that is the way I am. Life moves over me in a vast black shadow and I swallow whatever it drops with relish, having learned in a very hard school that one cannot be both a parasite and enjoy self-nourishment without moving in worlds too fantastic for even my disordered imagination to people with meaning.”
—Zelda Fitzgerald (1900–1948)
“Adjoining a refreshment stand ... is a small frame ice house ... with a whitewashed advertisement on its brown front stating, simply, “Ice. Glory to Jesus.” The proprietor of the establishment is a religious man who has seized the opportunity to broadcast his business and his faith at the same time.”
—For the State of New Jersey, U.S. public relief program (1935-1943)
“I know no method to secure the repeal of bad or obnoxious laws so effective as their stringent execution.”
—Ulysses S. Grant (1822–1885)