computing integral lines
- To: mathgroup at smc.vnet.net
- Subject: [mg123916] computing integral lines
- From: Dushan Mitrovich <dushanm at nnips.net>
- Date: Fri, 30 Dec 2011 07:05:17 -0500 (EST)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
I need to compute integral lines on a plane of a vector field which itself is a numerical integral over a 3rd dimension. Being fairly new to Mathematica I'm not sure of the best way to go about this. An obvious approach I'm trying is to start at a point (x0,y0), find the field vector V0, project a short distance along it to a new point (x1,y1), and find the field vector V1 there. [This can be iterated to improve accuracy by refining (x1,y1) to be projected along (V0+V1)/2.] Using a For loop this procedure can be repeated to move along the generated integral curve, and another enveloping For loop can move the initial starting point to generate a family of integral curves. But is there a better way to do this? Does Mathematica already have a tool for this operation? Thanks. - Dushan [ reverse the middle word of address to reply ]