François Dubeau
Professeur associé
Coordonnées
Courriel : Francois.Dubeau@USherbrooke.ca
Téléphone : 819 821-8000, poste 62853
Télécopieur : 819 821-7189
Local : D3-1029-4
Formation
- B. Sc. A. Génie physique, École Polytechnique de Montréal (1971)
- M. Sc. A. Génie industriel, École Polytechnique de Montréal (1973)
- B. Sc. Mathématiques, Université de Montréal (1975)
- Ph. D. Mathématiques, Université de Montréal (1981)
- Postdoctorat, Université de Montréal (1981-1982)
Thèmes de recherche
Recherches actuelles
- Modélisation géométrique et analytique de formes
- Géométrie computationnelle
- Méthodes mathématiques de la mécanique quantique
Publications
F. Dubeau. Qubits, unitary operator, and rotations, Open Journal of Mathematical Sciences, 9, 57-72 (2025).
F. Dubeau. Composition, non-commutativity, and vector decomposition of finite rotations, Engineering Report, 7:e13107 (2025).
F. Dubeau. Algebraic and geometric definition of the cross product: the link, The Mathematical Gazette, 108(573), 470-477, 2024.
A. Shannon, F. Dubeau, M. Uysal, E. Özkan. A difference equation model of infectious disease, International Journal of BIOautomation, 26(4), 339-352, 2022.
F. Dubeau. Alternating reflection method on conics leading to the inverse trigonometric and hyperbolic functions, AIMS Mathematics, 7(7), 11708-11717, 2022.
F. Dubeau. Hyperbolic reflections leading to the digits of ln(2), Journal of Applied Mathematics and Physics, 10(1), 112-131, 2022.
F. Dubeau. Collisions, or reflections and rotations, leading to the digits of π, Applied Mathematics, 13(9), 705-732, 2022.
F. Dubeau et C. Gnang, Unifying old and new ways to increase order of convergence of fixed point and Newton’s method, Journal of Mathematical Analysis, sous presse, octobre 2019.
F. Dubeau, Standard and corrected numerical differentiation formulae, Communications in Advanced Mathematical Sciences, 2(2) (2019), 135-153.
F. Dubeau et M. E. Ntigura Habingabwa, Fast computation of Pareto set for bicriteria linear programs with application to a diet formulation problem, American Journal of Operations Research, 8 (2018),323-342.
F. Dubeau et M. E. Ntigura Habingabwa, On best corrected mixture problems in metallurgy: a case study, Mathematical Problems in Engineering, Vol. 2017 (2017), Article ID 2742540, 11 pages.
F. Dubeau, Revisited optimal error bounds for interpolatory integration rules, Advances in Numerical Analysis, Vol. 2016 (2016), Article ID 3170595, 8 pages.
F. Dubeau, On Euler-Maclaurin summation formula, Journal of Computational and Applied Mathematics, 296 (2016), 649-660.
F. Dubeau, Erdös-Mordell inequality and complex numbers, Global Journal of Advanced Research on Classical and Modern Geometry, 5(1) (2015), 10-14.
F. Dubeau et C. Gnang, Fixed point and Newton’s methods for solving a nonlinear equation: from linear to high order of convergence, SIAM Review, 56(4) (2014), 691-708.