Numerical algorithms based on analytic function values at roots of unity
Let $f(z)$ be an analytic or meromorphic function in the closed unit disk sampled at the $n$th roots of unity. Based on these data, how can we approximately evaluate $f(z)$ or $f^{(m)}(z)$ at a point $z$ in the disk? How can we calculate the zeros or poles of $f$ in the disk? These questions exhibit...
Main Authors: | Austin, A, Kravanja, P, Trefethen, L |
---|---|
Format: | Report |
Published: |
SINUM
2013
|
Similar Items
-
Numerical analytic continuation
by: Trefethen, LN
Published: (2023) -
Evaluating multiple polylogarithm values at sixth roots of unity up to weight six
by: J.M. Henn, et al.
Published: (2017-06-01) -
Computing numerically with functions instead of numbers
by: Trefethen, L
Published: (2015) -
Analytic Ecclesiology: The Paradox of the Unity of the Church
by: Devina Benlin Oswan
Published: (2022-12-01) -
Factorization of colored knot polynomials at roots of unity
by: Ya. Kononov, et al.
Published: (2015-07-01)