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authFullName_s : François Dubois
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Finite volumes and mixed Petrov-Galerkin finite elements : the unidimensional problem

François Dubois
Numerical Methods for Partial Differential Equations, 2000, 16 (3), p. 335-360. ⟨10.48550/arXiv.1401.0824⟩
Journal articles hal-00923745v1
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Concept of Information Laser: from Quantum Theory to Behavioral Dynamics

Andrei Khrennikov , Zeno Toffano , François Dubois
International Symposium on Physics and Applications of Laser Dynamics 2017 (IS-PALD 2017), Nov 2017, Paris, France
Conference papers hal-01639836v2
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Coupling Linear Sloshing with Six Degrees of Freedom Rigid Body Dynamics

François Dubois , Dimitri Stoliaroff , Isabelle Terrasse
European Journal of Mechanics - B/Fluids, 2015, 54 (November–December 2015), pp.Pages 17-26. ⟨10.1016/j.euromechflu.2015.06.002⟩
Journal articles hal-01018836v3
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Dual Raviart-Thomas mixed finite elements

François Dubois
2010
Preprints, Working Papers, ... hal-00544394v1
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An introduction to finite volumes for gas dynamics

François Dubois
Vladimir V. Shaidurov et Olivier Pironneau. Encyclopedia Of Life Support Systems, Mathematical Sciences, Computational Methods and Algorithms, EOLSS, volume 2, p. 36-105., 2009
Book sections hal-00558477v1
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Unconditionnally stable scheme for Riccati equation

François Dubois , Abdelkader Saïdi
ESAIM: Proceedings, 2000, 8, p. 39-52. ⟨10.1051/proc:2000003⟩
Journal articles hal-00558312v1
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Sur l'approximation numérique de quelques problèmes en mécanique des fluides

François Dubois
Mathématiques [math]. Université Pierre et Marie Curie, 1992
Habilitation à diriger des recherches tel-03993881v1

Bounce-back at first order

François Dubois , Pierre Lallemand , Mohamed Mahdi Tekitek
13th International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2016, Jul 2016, Hamburg, Germany
Conference papers hal-03179110v1

Analysis of bounce-back boundary conditions with the Taylor expansion method

François Dubois
14th International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2017, Jul 2017, Nantes, France
Conference papers hal-03178023v1
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Adapting Logic to Physics: The Quantum-Like Eigenlogic Program

Zeno Toffano , François Dubois
Entropy, 2020, 22 (2), pp.139. ⟨10.3390/e22020139⟩
Journal articles hal-02477198v4
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Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes

François Dubois
Asymptotic Analysis, 2022, 127 (4), pp.297-337. ⟨10.3233/ASY-211692⟩
Journal articles hal-02081116v2
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A result of convergence for a mono-dimensional two-velocities lattice Boltzmann scheme

Filipa Caetano , François Dubois , Benjamin Graille
2019
Preprints, Working Papers, ... hal-02135600v3

Linear lattice Boltzmann schemes for acoustic: Parameter choices and isotropy properties

Adeline Augier , François Dubois , Loïc Gouarin , Benjamin Graille
Computers & Mathematics with Applications, 2013, 65 (6), pp.845-863. ⟨10.1016/j.camwa.2012.06.025⟩
Journal articles hal-03177478v1
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Pontryagin calculus in Riemannian geometry

François Dubois , Danielle Fortuné , Juan Antonio Rojas Quintero , Claude Vallée
Geometric Science of Information - Second International Conference, GSI 2015, Oct 2015, Palaiseau, France
Conference papers hal-03619971v1

Quantum observables for binary, multi-valued and fuzzy logic: Eigenlogic

Zeno Toffano , François Dubois
7th Colloquium of the CNRS GDR Quantum Engineering, Foundations & Applications, IQFA, Nov 2016, Paris, France
Conference papers hal-03179458v1

Boundary conditions revisited

Mohamed Mahdi Tekitek , Pierre Lallemand , François Dubois
23rd International Conference on Discrete Simulation of Fluid Dynamics, DSFD 2014, Jul 2014, Paris, France
Conference papers hal-03179599v1
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On anti bounce back boundary condition for lattice Boltzmann schemes

François Dubois , Pierre Lallemand , Mohamed-Mahdi Tekitek
Computers & Mathematics with Applications, 2020, ⟨10.1016/j.camwa.2019.03.039⟩
Journal articles hal-01950184v2
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Unexpected convergence of lattice Boltzmann schemes

Mohamed-Mahdi Tekitek , Bruce M Boghosian , François Dubois , Benjamin Graille , Pierre Lallemand et al.
Computers and Fluids, 2020, 172, pp.301 - 311. ⟨10.1016/j.compfluid.2018.04.029⟩
Journal articles hal-02878135v1

Numerical Eulerian method for linearized gas dynamics in the high frequency regime

Youness Noumir , François Dubois , Olivier Lafitte
Numerische Mathematik, 2013, 127 (4), pp.641-683. ⟨10.1007/s00211-013-0598-5⟩
Journal articles hal-03177490v1
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Lattice Boltzmann model approximated with finite difference expressions

François Dubois , Pierre Lallemand , Christian Obrecht , Mohamed Mahdi Tekitek
Computers and Fluids, 2017, 155, pp.3 - 8. ⟨10.1016/j.compfluid.2016.04.013⟩
Journal articles hal-01718120v1

Mixed collocation for fractional differential equations

François Dubois , Stéphanie Mengué
International Conference on Numerical Algorithms, Oct 2001, dedicated to Claude Brézinski, Marrakech, Morocco
Conference papers hal-03179615v1

Boundary conditions for Petrov-Galerkin finite volumes

S. Borel , François Dubois , C. Lepotier , Mohamed Mahdi Tekitek
Fourth International Symposium on Finite Volumes for Complex Applications, Jul 2005, Marrakech, Morocco
Conference papers hal-03179386v1

Using the lattice Boltzmann scheme for anisotropic diffusion problems

François Dubois , Pierre Lallemand , Mohamed Mahdi Tekitek
5th International Symposium on Finite Volumes for Complex Applications - Problems and Perspectives, FVCA5, Jun 2008, Aussois, France
Conference papers hal-03181391v1
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Mathematical model for coupling a quasi-unidimensional perfect flow with an acoustic boundary layer

Régis Msallam , François Dubois
2002
Preprints, Working Papers, ... hal-00491417v1
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Différences finies caractéristiques pour les options asiatiques

François Dubois
2003
Preprints, Working Papers, ... hal-01116766v1

Modèle et simulations numériques de la proparation acoustique non-linéaire dans les conduits

Régis Msallam , Samuel Dequidt , François Dubois , René Causse
CFA: Congrès Français d'Acoustique, Apr 1997, Marseille, France
Conference papers hal-01105460v1

Vorticity-velocity-pressure and stream function-vorticity formulations for the Stokes problem

François Dubois , Michel Salaün , Stéphanie Salmon
Journal de Mathématiques Pures et Appliquées, 2003, 82, num. 11, pp.1395-1451. ⟨10.1016/j.matpur.2003.09.002⟩
Journal articles hal-00096367v1
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Pourquoi la gamme a sept notes ? Une mathématique des notes et des gammes

François Dubois
1999
Preprints, Working Papers, ... hal-03177187v3
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Analytic solutions of two problems of Biology and Physics using the Jacobi elliptic functions

François Dubois , Olivier Lafitte , Clair Poignard
16th International Symposium on Orthogonal Polynomials, Special Functions and Applications, Centre de recherches Mathématiques, Jun 2022, Montréal, Canada
Conference papers hal-04004709v1
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Raviart-Thomas finite elements of Petrov-Galerkin type

François Dubois , Isabelle Greff , Charles Pierre
ESAIM: Mathematical Modelling and Numerical Analysis, 2019, 53 (5), pp.1553 - 1576. ⟨10.1051/m2an/2019020⟩
Journal articles hal-01615183v2