🚀 go-pugleaf

In article <1993Jan5.173151.21651@seas.smu.edu>, mhosea@seas.smu.edu (Mike Hosea) writes:
|> 
|> In article <1ia4m9INN2h2@rave.larc.nasa.gov> makarand@gazelle.larc.nasa.gov (Makarand A. Kulkarni) writes:
|> >Most error estimates for integrators are based on what is called
|> >the "linear test equation". It is extremely difficult if not
|> >impossible to obtain local truncation error estimates for 
|> >nonlinear problems. Normally error estimates for nonlinear
|> >problems are obtained by linearizing the equation(s).
|> 
|> If I understand you correctly, this isn't true.  Error estimators 
|> for integrators are usually based on subtracting a higher order 
|> result from a lower order result to get an asymptotically correct
|> estimate of the error in the lower order result.  The technique is
|> valid for linear and nonlinear problems.   
|> 
|> You must be thinking about linear vs. general (nonlinear) stability
|> analysis, since the "linear test equation" is used in that context,
|> and general (nonlinear) stability analysis is a lot harder than 
|> the linear stability analysis.
|> -- 
|> Regards,
|> Mike Hosea (mhosea@seas.smu.edu)


Yep, you are right. I was talking about stability analysis.
Your point is well taken.

Regards
Makarand
email: makarand@puma.larc.nasa.gov.