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MathGroup Archive 2000

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Re: Integral Convergence

  • To: mathgroup at smc.vnet.net
  • Subject: [mg23738] Re: Integral Convergence
  • From: dkeith at sarif.com
  • Date: Mon, 5 Jun 2000 01:09:31 -0400 (EDT)
  • References: <8gsnoh$ed1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi Viorel,

NIntegrate[f[x],{x,x0,x1,x2,x3,...,xn}] gives
NIntegrate[f[x],{x,x0,xn}] except it causes the algorithm to break the
integral into pieces which you can choose to not straddle the
discontinuity.

(See further-examples under Help-NIntegrate.)

David




In article <8gsnoh$ed1 at smc.vnet.net>,
  Viorel Ontalus <vio2 at mail.lehigh.edu> wrote:
> Dear All,
> I am having problems with some calculations and I am asking for help
or
> suggestions.
>
> I am integrating a piecewise defined function. The function is non
zero
> for some periodic intervals.
> When nonzero the function has the form f[x_]:=c * Sqrt[ 1-( (x-a)/b )
^2*
> UnitStep[1-( (x-a)/b )^2] ]
> with a, b, c constants
> g[y_]:=Integrate[f[x],{x,0,y}]
> I want to plot g[y]
> I get a lot of messages that are telling  :"Nintegrate failed to
> converge to prescribed accuracy"
> " Integration converging too slowly"   etc.
>
> Does anybody know a fix?
>
> Thanks Vio
>
>


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