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  1. 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 …

  2. 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.

  3. 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 …

  4. 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.

  5. 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 …

  6. 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 …

  7. 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

  8. 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, …

  9. 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 …

  10. 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.