Finding only final values in NDSolve

*To*: mathgroup at smc.vnet.net*Subject*: [mg91224] Finding only final values in NDSolve*From*: zakseidov2 at gmail.com*Date*: Sun, 10 Aug 2008 01:52:31 -0400 (EDT)

Dear Mathematica gurus, 1. I use NDSolve for integration from some t0 to some tf, but I'm interested only in FINAL VALUES y(tf),y'(tf). How to do it (I mean: avoiding InterpolatingFunction and saving all intermediate values)? 2. I use WorkingPrecision -> 32(or larger). Final values y(tf),y'(tf) are of lesser Precision than 32D so i can't use them directly for further integrations. I do some manupulations to take more artificial digits... But what's the best way for doing it automatically not manually? 3. In other words: I need only values of y(t), y'(t) in fixed t_i with fixed interval d. How to do it using NDSolve economically without InterpolatingFunction (which I guess takes a lot of time if MaxSteps -> 10^8(or larger))? Thanks a lot, zakseidov