On Sep 20, 7:14 am, maldun <[email protected]> wrote:
> > That's true, but it is important that automated routines do good error > estimation > especially for smooth functions. That is pretty easy if you have a smooth function. So perhaps we need a program to test if a function is smooth :) > But it is the wrong way to say: Hey I can't do it > for every case, so why bother? > The example I gave is smooth simple function but causes already > troubles. The example you gave is what is called "oscillatory" and is a well known kind of problem that can be done -- if you recognize it as oscillatory -- by methods devised by Filon, or more recently Levin, Iserles, Olver, ... But is difficult by regular quadrature programs. There is a great deal written about integration. Perhaps instead of offering to do some basic programming you could offer to read some books or papers on numerical integration. Probably the documentation for NIntegrate would be a start. -- To post to this group, send an email to [email protected] To unsubscribe from this group, send an email to [email protected] For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org
