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function evaluations with NDSolve

  • To: mathgroup at smc.vnet.net
  • Subject: [mg36655] function evaluations with NDSolve
  • From: "Higinio Ramos" <higra at usal.es>
  • Date: Wed, 18 Sep 2002 02:09:30 -0400 (EDT)
  • Reply-to: "Higinio Ramos" <higra at usal.es>
  • Sender: owner-wri-mathgroup at wolfram.com

I pretend to know how many times the function f has to be evaluated when 
using NDSolve to solve a differential equation.
I've tried :

cont=0;
f[x_]:=(cont++;x^2);
NDSolve[ {y''[x]+y[x]==f[x],y[0]==1,y'[0]==0},y,{x,0,6}]

I obtain the solution of the ODE but cont returns 1 instead the number 
of funtion evaluations.
How can I obtain it?

Thanks.
Higinio Ramos



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