From the 1 of 1.1k papers with an AI index.
29.3k citations
- F. Rossi2 profiles18 · h 27
- F. Bach17 · h 108
- S. Tixeuil2 profiles16 · h 35
- Laurent Romary3 profiles15 · h 26
- Konstantin Avrachenkov2 profiles13 · h 41
- S. Vérel13 · h 28
- Marc Schoenauer2 profiles12 · h 49
- B. Mourrain10 · h 44
- Fabien Mathieu2 profiles10 · h 15
- Laetitia Vermeulen-Jourdan10 · h 26
- M. Fliess2 profiles10 · h 51
- Alin Bostan9 · h 30
- Centre National de la Recherche ScientifiqueFR125 papers
- Laboratoire Lorrain de Recherche en Informatique et ses ApplicationsFR123 papers
- Centre Inria de SaclayFR106 papers
- Centre Inria de l'Université de LilleFR57 papers
- Institut de Recherche en Informatique et Systèmes AléatoiresFR41 papers
- Université Grenoble AlpesFR37 papers
- Centre Inria de l'université de BordeauxFR36 papers
- Sorbonne UniversitéFR33 papers
- École PolytechniqueFR29 papers
- Institut Élie Cartan de LorraineFR29 papers
- Laboratoire de l'Informatique du ParallélismeFR27 papers
- Laboratoire de Recherche en InformatiqueFR27 papers
4 papers · 2 filters
Multiple precision evaluation of the Airy Ai function with reduced cancellation
Sylvain Chevillard, Marc Mezzarobba
The series expansion at the origin of the Airy function Ai(x) is alternating and hence problematic to evaluate for x > 0 due to cancellation. Based on a method recently proposed by…
Regular and Singular Boundary Problems in Maple
Anja Korporal, Georg Regensburger, Markus Rosenkranz
We describe a new Maple package for treating boundary problems for linear ordinary differential equations, allowing two-/multipoint as well as Stieltjes boundary conditions. For ex…
Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Gröbner Bases
Markus Rosenkranz, Georg Regensburger, Loredana Tec +1
We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain…
On the asymptotic and practical complexity of solving bivariate systems over the reals
Dimitrios I. Diochnos, Ioannis Z. Emiris, Elias P. Tsigaridas
This paper is concerned with exact real solving of well-constrained, bivariate polynomial systems. The main problem is to isolate all common real roots in rational rectangles, and…