I need to answer a question based on Pad�'s Approximation Method for my uni course. I'm not looking for you to answer it for me, but can anyone direct me to a site where I can learn the concept? My notes are insufficient and I can't find a good page on it. Alternatively, an explanation in English from anyone would be appreciated. Cheers MadJock
Padé's Approximation
Started by ●December 9, 2003
Reply by ●December 9, 20032003-12-09
I should note that I mean plain English - as in no jargon. An explanation in plain French or Spanish would be just as good :) MadJock "MadJock" <nooooooooospam@blueyonder.co.uk> wrote in message news:wylBb.28063$LI6.1941@news-binary.blueyonder.co.uk...> I need to answer a question based on Pad�'s Approximation Method for myuni> course. I'm not looking for you to answer it for me, but can anyonedirect> me to a site where I can learn the concept? My notes are insufficient andI> can't find a good page on it. Alternatively, an explanation in Englishfrom> anyone would be appreciated. > > Cheers > > MadJock > >
Reply by ●December 9, 20032003-12-09
MadJock, To put it simply, Pade's Approx. uses a rational function to approximate a polynomial. It's similar to Taylor series approx, except in that case, it uses a another polynomial to approx. the polynomial of interest. Take a look at the: "Introduction to Approximation Theory", by E.W. Cheney, 1982. hth, cf MadJock wrote:> > I need to answer a question based on Pad�'s Approximation Method for my uni > course. I'm not looking for you to answer it for me, but can anyone direct > me to a site where I can learn the concept? My notes are insufficient and I > can't find a good page on it. Alternatively, an explanation in English from > anyone would be appreciated. > > Cheers > > MadJock
Reply by ●December 9, 20032003-12-09
One idea: http://mathworld.wolfram.com/PadeApproximant.html -- Dana "MadJock" <nooooooooospam@blueyonder.co.uk> wrote in message news:wylBb.28063$LI6.1941@news-binary.blueyonder.co.uk...> I need to answer a question based on Pad�'s Approximation Method for myuni> course. I'm not looking for you to answer it for me, but can anyonedirect> me to a site where I can learn the concept? My notes are insufficient andI> can't find a good page on it. Alternatively, an explanation in Englishfrom> anyone would be appreciated. > > Cheers > > MadJock > >
Reply by ●December 14, 20032003-12-14
MadJock wrote:> I need to answer a question based on Pad�'s Approximation Method for my uni > course. I'm not looking for you to answer it for me, but can anyone direct > me to a site where I can learn the concept? My notes are insufficient and I > can't find a good page on it. Alternatively, an explanation in English from > anyone would be appreciated. > > Cheers > > MadJockWas it an irishman that thought of this?? (pade) suppose z=exp(sT), then we can write z=exp(sT/2)/exp(-sT/2) = (1+sT/2)/(1-sT/2) re-arrange s=(2/T)(1-z^-1)/(1+z^-1) which is the Bilinear transform. I suppose this is a form of Pade. Tom
Reply by ●December 15, 20032003-12-15
there is a reasonably clear explanation in "numerical recipes"... cheers robert (replace de with net in my e-mail... :) "Dana" <ng_only@hotmail.com> wrote in message news:<1coBb.6968$4t2.883@bignews4.bellsouth.net>...> One idea: > http://mathworld.wolfram.com/PadeApproximant.html > > -- > Dana > > > "MadJock" <nooooooooospam@blueyonder.co.uk> wrote in message > news:wylBb.28063$LI6.1941@news-binary.blueyonder.co.uk... > > I need to answer a question based on Pad�'s Approximation Method for my > uni > > course. I'm not looking for you to answer it for me, but can anyone > direct > > me to a site where I can learn the concept? My notes are insufficient and > I > > can't find a good page on it. Alternatively, an explanation in English > from > > anyone would be appreciated. > > > > Cheers > > > > MadJock > > > >
Reply by ●December 15, 20032003-12-15
Reply by ●December 16, 20032003-12-16
MadJock wrote:> Thanks folks - got it! > > And the Irish joke was terrible. . . > > MadJockDoesn't Mother Goose have it that Pad� was a Welshman? Jerry -- Engineering is the art of making what you want from things you can get. �����������������������������������������������������������������������
Reply by ●December 16, 20032003-12-16
Jerry Avins wrote:> MadJock wrote: > >> Thanks folks - got it! >> >> And the Irish joke was terrible. . . >> >> MadJock > > > Doesn't Mother Goose have it that Pad� was a Welshman? > > JerryI knew that as "Taffy" rather then "Pad�." Taffy was a Welshman, Taffy was a thief Taffy came to our house and stole a leg of beef I went to Taffy's house, Taffy was in bed I took a marrow bone and hit him on the head. Google("Paddy was a Welshman") found 9 hits, including this one: Paddy was a welshman, Paddy was a thief. Paddy came to my house and stole a side of beef. I went to Paddy's house, Paddy was not home. Paddy'd gone to my house to steal the marrow bone. So I went back to Paddy's house, where Paddy lay in bed, and there I took that marrow bone, and hit him on the head! Google("Taffy was a Welshman") turns up 901 hits. I think we can conclude that "Paddy" is approximately "Taffy." -- Jim Thomas Principal Applications Engineer Bittware, Inc jthomas@bittware.com http://www.bittware.com (703) 779-7770 The secret to enjoying your job is to have a hobby that's even worse - Calvin's Dad
Reply by ●December 16, 20032003-12-16
Jim Thomas wrote:> Jerry Avins wrote: > >> MadJock wrote: >> >>> Thanks folks - got it! >>> >>> And the Irish joke was terrible. . . >>> >>> MadJock >> >> >> >> Doesn't Mother Goose have it that Pad� was a Welshman? >> >> Jerry > > > I knew that as "Taffy" rather then "Pad�." > > Taffy was a Welshman, Taffy was a thief > Taffy came to our house and stole a leg of beef > I went to Taffy's house, Taffy was in bed > I took a marrow bone and hit him on the head. > > Google("Paddy was a Welshman") found 9 hits, including this one: > > Paddy was a welshman, > Paddy was a thief. > Paddy came to my house > and stole a side of beef. > > I went to Paddy's house, > Paddy was not home. > Paddy'd gone to my house > to steal the marrow bone. > > So I went back to Paddy's house, > where Paddy lay in bed, > and there I took that marrow bone, > and hit him on the head! > > Google("Taffy was a Welshman") turns up 901 hits. > > I think we can conclude that "Paddy" is approximately "Taffy."Are you familiar with "The Space Child's Mother Goose"? One of the poems starts Higgledy piggledy my black hen She lays eggs in the never when ... What reminded me is Taffy is a Welshman. Taffy is a thief. Taffy's little grandson teleplunders beef ... I'll look for the book. It's fun. Jerry -- Engineering is the art of making what you want from things you can get. �����������������������������������������������������������������������
