NDSolve with momentum
- To: mathgroup at smc.vnet.net
- Subject: [mg105457] NDSolve with momentum
- From: Gareth Russell <russell at njit.edu>
- Date: Thu, 3 Dec 2009 06:15:42 -0500 (EST)
Hi, Does anyone know how to use NDSolve to create the trajectory of motion of a point following positive gradients on an arbitrary landscape (a ListStreamPlot-like path), but with 'momentum'? The idea is that the trajectory would not terminate on smaller local maxima, depending on the momentum term. I don't know exactly how ListStreamPlot does its thing -- I would guess it interpolates the array of gradient pairs, and then uses NDSolve to find the paths. If so, is there way to modify that basic idea to include a momentum-like term? Or would I need to do a full physics-type model as if I were modelling a ball with mass, gravity, friction, etc.? Thanks, -- Gareth Russell NJIT