On Mon, Feb 13, 2012 at 7:13 PM, Michael Brown <[email protected] > wrote:
> > Thanks for your help. Even if I don't end up using FiPy for my current > project, it looks like a great package and I'll definitely keep it in mind > for the future/recommend it. > Cool. Thanks. > > Okay, just to be clear: when you say g_x = f you mean only > differentiation with respect to the explicit x dependence of g? > Just the partial derivative. > Actually, it might help that to an excellent approximation I can separate > f(x, u) = f1(x) + f2(u), although I get (setting g_x = f1(x)) an > integro-differential equation: > > > > v_t - u_x = g > u_t - v_x = \int f2(u) dt > I don't think you need to split between the x and u parts of f as long as you can construct a g such that g_x = f. g can be arbitrary. > > Also, how would this method extend to two or three dimensions? > You could use u_t - v_x - w_y = 0 v_t - u_x = g w_t - u_y = h where g and h are arbitrary as long as g_x + h_y = f Either one could be zero for instance. It might matter in some numerical way, but not for the maths. > The acoustics link is dead atm - even browsing to it through the repo > brings me to an error page. The others work though. I'll try the Riemann > branch. > There is something wrong with the trac site. If you hit reload a few times it will show. It is really getting annoying. Good luck! -- Daniel Wheeler
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