ListIntegrate Info.
- To: mathgroup at smc.vnet.net
- Subject: [mg36412] ListIntegrate Info.
- From: qualsystems*nospam* at mindspring.com
- Date: Fri, 6 Sep 2002 03:16:40 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Hi, Can someone provide me more information on how ListIntegrate works than what is contained in the version 4 manual ? Is there a website perhaps or tutorial ? I would like to know how the beginning and end of a list of {x,y} pairs that is being integrated is dealt with by ListIntegrate. I know a series of polynomials is somehow used but how ? Do these overlap ? Are they piecewise continuous ? Are these polynomials available for inspection ? How do they change as a function of "k" ? optimum "k" value for a given list ? For any given list, will accuracy monotonically increase with increasing values of "k" ? Is there anything in the Option Inspector that could cause unexpected behaivor with ListIntegrate ? Are there any good rules of thumb or procedures that will help ensure a reasonable answer is produced ? Is there a way of estimating the error or accuracy of integration performed by ListIntegrate ? Thanks for any help.