http://www.mapleprimes.com/questions/142296-Pade-Approximation en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Tue, 09 Jun 2026 06:51:30 GMT Tue, 09 Jun 2026 06:51:30 GMT The latest answers and comments added to the Question, Pade approximation http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/questions/142296-Pade-Approximation http://www.mapleprimes.com/questions/142296-Pade-Approximation?ref=Feed:MaplePrimes:Pade approximation:Comments#answer142304 <p>If you plot the results:</p> <p>plot([f,pade(f,x=0,[5,4])],x=0..1);</p> <p>you will see that the pade result is close to f up until about x=0.5.</p> <p>I don't know whether it should agree for higher values of x; but I also do not see the point of approximating what is obviously already a truncated series with a rational function of too high a degree. If you want the Pade approximation to the original function you should start from there. As the docs to pade() explain; it'll start from a series to order 5+4 (in your case). Then you can compare these approximations with the original function &amp; decide what best suits your problem.</p> <p>Mac Dude</p> <p>If you plot the results:</p> <p>plot([f,pade(f,x=0,[5,4])],x=0..1);</p> <p>you will see that the pade result is close to f up until about x=0.5.</p> <p>I don't know whether it should agree for higher values of x; but I also do not see the point of approximating what is obviously already a truncated series with a rational function of too high a degree. If you want the Pade approximation to the original function you should start from there. As the docs to pade() explain; it'll start from a series to order 5+4 (in your case). Then you can compare these approximations with the original function &amp; decide what best suits your problem.</p> <p>Mac Dude</p> 142304 Wed, 16 Jan 2013 05:53:31 Z Mac Dude Mac Dude