10 citations · 20 across the 4 of their papers we have counts for
4 papers
Fractions of Recurrence Operators for Generalized Fourier Series in Classical Orthogonal Polynomials
Alexandre Benoit, Nicolas Brisebarre, Bruno Salvy
We consider series expansions in bases of classical orthogonal polynomials. When such a series solves a linear differential equation with polynomial coefficients, its coefficients…
Rigorous uniform approximation of D-finite functions using Chebyshev expansions
Alexandre Benoit, Mioara Joldes, Marc Mezzarobba
A wide range of numerical methods exists for computing polynomial approximations of solutions of ordinary differential equations based on Chebyshev series expansions or Chebyshev i…
Quasi-optimal multiplication of linear differential operators
Alexandre Benoit, Alin Bostan, Joris van der Hoeven
We show that linear differential operators with polynomial coefficients over a field of characteristic zero can be multiplied in quasi-optimal time. This answers an open question r…
Chebyshev Expansions for Solutions of Linear Differential Equations
Alexandre Benoit, Bruno Salvy
A Chebyshev expansion is a series in the basis of Chebyshev polynomials of the first kind. When such a series solves a linear differential equation, its coefficients satisfy a line…