44 citations · 106 across the 15 of their papers we have counts for
18 papers
Rigorous numerical computation of the Stokes multipliers for linear differential equations with single level one
Michèle Loday-Richaud, Marc Mezzarobba, Pascal Remy
We describe a practical algorithm for computing the Stokes multipliers of a linear differential equation with polynomial coefficients at an irregular singular point of single level…
First-order factors of linear Mahler operators
Frédéric Chyzak, Thomas Dreyfus, Philippe Dumas +1
We develop and compare two algorithms for computing first-order right-hand factors in the ring of linear Mahler operatorswhere $\ell_0, \dot…
Computing error bounds for asymptotic expansions of regular P-recursive sequences
Ruiwen Dong, Stephen Melczer, Marc Mezzarobba
Over the last several decades, improvements in the fields of analytic combinatorics and computer algebra have made determining the asymptotic behaviour of sequences satisfying line…
Symbolic-Numeric Factorization of Differential Operators
Frédéric Chyzak, Alexandre Goyer, Marc Mezzarobba
We present a symbolic-numeric Las Vegas algorithm for factoring Fuchsian ordinary differential operators with rational function coefficients. The new algorithm combines ideas of va…
Fast evaluation of some p-adic transcendental functions
Xavier Caruso, Marc Mezzarobba, Nobuki Takayama +1
We design algorithms for computing values of many p-adic elementary and special functions, including logarithms, exponentials, polylogarithms, and hypergeometric functions. All our…
Sequence Positivity Through Numeric Analytic Continuation: Uniqueness of the Canham Model for Biomembranes
Stephen Melczer, Marc Mezzarobba
We prove solution uniqueness for the genus one Canham variational problem arising in the shape prediction of biomembranes. The proof builds on a result of Yu and Chen that reduces…