
Padé approximation - Mathematics Stack Exchange
Jun 2, 2016 · Pade approximation is the best approximation in mathematics, compared to Taylors approximation & others. I have learnt this approximation transform d given function to another …
numerical methods - How to compute the pade approximation ...
Jul 8, 2014 · An advantage of the Pade approximation is that it is relatively easy to compute. In some cases, the approximation is good outside the radius of convergence of the Maclaurin series.
approximation - Rigorous rationale for the Pade Approximant ...
Oct 11, 2015 · I have seen and generated several examples where the Pade Approximant of order $ {m,n}$ is visually better than the $ (m+n)th$ order Maclaurin Series. I've also seen online sources …
How to approximate $\sin (x)$ using Padé approximation?
I need to write a function for $\sin (x)$ using Padé approximation. I found here a formula, but I don't know how to achive this. Thanks in advance.
Is it possible to find the Padé approximation for $\\ln{(1+x)}$?
Mar 16, 2021 · On the Padé approximant wiki, people present various form of padre approximant for $\sin { (x)}, \exp { (x)}$, erf$ (x)$ but does not provide instruction on how to create them. What would …
Benefit of Padé approximation - Mathematics Stack Exchange
The problem with doing numerical approximation of $\exp (A)$ by taylor series is - neglecting efficiency - that there the values could be very different in the floating point arithmetic, especially very big and of …
why are there two different Pade approximation of delay
Nov 14, 2018 · There are 2 different second order pade approximations of delay given in internet What is the difference between these two approximation? Which one is the correct Pade approximation
computational mathematics - How would I generate a Pade …
Dec 9, 2023 · I would like to find an effective way to make a Pade Approximant using the coefficients of a Taylor Series. I've heard of Wynn's epsilon algorithm and using the Extended Euclidean Algorithm, …
polynomials - In what sense is Pade aproximation "best" - Mathematics ...
May 11, 2021 · Pade approximation is often compared to Taylor series expansion and truncation but as I recently learned Taylor series expansion isn't actually ideal. How does Pade approximation compare …
Formula for the perimeter of an ellipse - Mathematics Stack Exchange
Oct 13, 2023 · I've checked the numbers and it's very close to Ramanujan's approximation (never off by more than half of one percent), but I'd really love a second opinion or two.