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- From: sichase@csa2.lbl.gov (SCOTT I CHASE)
- Newsgroups: sci.math
- Subject: Re: Power series solution to ordinary differential equation
- Message-ID: <25544@dog.ee.lbl.gov>
- Date: 17 Aug 92 21:25:16 GMT
- References: <1992Aug16.231044.4401@pellns.alleg.edu> <57030@mentor.cc.purdue.edu>
- Reply-To: sichase@csa2.lbl.gov
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- Organization: Lawrence Berkeley Laboratory - Berkeley, CA, USA
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- In article <57030@mentor.cc.purdue.edu>, hrubin@pop.stat.purdue.edu (Herman Rubin) writes...
- >
- >The method of power series is actually the oldest method of numerical
- >solution of differential equations, but is now usually considered "not
- >in style." There ARE many cases in which it is far better than the
- >usual ones, and of course many where it is not. HOW is not much of
- >a problem; as to WHEN, this is a matter of art, not science.
-
- Interesting. Why is is "not in style"? As a physicist, I use only
- two methods of solving DE's. I guess the solution that I already know or
- I use the Frobenius method. With rare exception, I have not needed more.
- (Once or twice I have had to solve a DE with a contour integral, but that's
- unusual.) In fact, the only time I have ever needed to know any of the
- host of standard techniques was when taking a Diff Eq. class as an
- undergrad.
-
- -Scott
-
- --------------------
- Scott I. Chase "The question seems to be of such a character
- SICHASE@CSA2.LBL.GOV that if I should come to life after my death
- and some mathematician were to tell me that it
- had been definitely settled, I think I would
- immediately drop dead again." - Vandiver
-