F. Dubois, Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes, Asymptotic Analysis, 127 (4), 297-337, 2022. doi
François Dubois
Publications dans HAL
Article dans une revue
hal-02081116v2
Article dans une revue
François Dubois. Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes
Asymptotic Analysis, 2022, 127 (4), pp.297-337. ⟨10.3233/ASY-211692⟩hal-03653746v1
Article dans une revue
Juan Antonio Rojas-Quintero, François Dubois, Hedy César Ramírez-De-Ávila. Riemannian Formulation of Pontryagin’s Maximum Principle for the Optimal Control of Robotic Manipulators
Mathematics , 2022, 10 (7), pp.1117. ⟨10.3390/math10071117⟩hal-03492890v1
Article dans une revue
François Dubois, Benjamin Graille, S.V. Raghurama Rao. A notion of non-negativity preserving relaxation for a mono-dimensional three velocities scheme with relative velocity
Journal of computational science, 2020, 47, pp.101181 -. ⟨10.1016/j.jocs.2020.101181⟩hal-02878135v1
Article dans une revue
Mohamed-Mahdi Tekitek, Bruce M Boghosian, François Dubois, Benjamin Graille, Pierre Lallemand, Mohamed Mahdi Tekitek. Unexpected convergence of lattice Boltzmann schemes
Computers and Fluids, 2020, 172, pp.301 - 311. ⟨10.1016/j.compfluid.2018.04.029⟩hal-01950184v2
Article dans une revue
François Dubois, Pierre Lallemand, Mohamed-Mahdi Tekitek. On anti bounce back boundary condition for lattice Boltzmann schemes
Computers & Mathematics with Applications, 2020, ⟨10.1016/j.camwa.2019.03.039⟩hal-03177480v1
Article dans une revue
Olivier Maurice, Alain Reineix, Philippe Durand, François Dubois, Eric Beaussart. Projection of Sensitive Reality into Cellular Topology
Acta Europeana Systemica, 2020, 4 (6), pp.181-194. ⟨10.14428/aes.v4i1.57363⟩hal-02477198v2
Article dans une revue
Zeno Toffano, François Dubois. Adapting Logic to Physics: The Quantum-Like Eigenlogic Program
Entropy, 2020, 22 (2), pp.139. ⟨10.3390/e22020139⟩hal-02422705v1
Article dans une revue
François Dubois, Pierre Lallemand, Mohamed Mahdi Tekitek. Generalized bounce back boundary condition for the nine velocities two-dimensional lattice Boltzmann scheme
Computers and Fluids, 2019, 193, pp.103534. ⟨10.1016/j.compfluid.2017.07.001⟩hal-02056281v1
Article dans une revue
Andrei Khrennikov, Zeno Toffano, François Dubois. Concept of information laser: from quantum theory to behavioural dynamics
The European Physical Journal. Special Topics, 2019, 227 (15-16), pp.2133-2153. ⟨10.1140/epjst/e2018-800027-6⟩hal-01615183v2
Article dans une revue
François Dubois, Isabelle Greff, Charles Pierre. Raviart-Thomas finite elements of Petrov-Galerkin type
ESAIM: Mathematical Modelling and Numerical Analysis, 2019, 53 (5), pp.1553 - 1576. ⟨10.1051/m2an/2019020⟩hal-01741303v1
Article dans une revue
Bruce M Boghosian, François Dubois, Benjamin Graille, Pierre Lallemand, Mohamed-Mahdi Tekitek. Curious convergence properties of lattice Boltzmann schemes for diffusion with acoustic scaling
Communications in Computational Physics, 2018, 23, pp.1263 - 1278. ⟨10.4208/cicp.OA-2016-0257⟩hal-01718120v1
Article dans une revue
François Dubois, Pierre Lallemand, Christian Obrecht, Mohamed Mahdi Tekitek. Lattice Boltzmann model approximated with finite difference expressions
Computers and Fluids, 2017, 155, pp.3 - 8. ⟨10.1016/j.compfluid.2016.04.013⟩hal-03177132v1
Article dans une revue
Hiroshi Otomo, Bruce M. Boghosian, François Dubois. Two complementary lattice-Boltzmann-based analyses for nonlinear systems
Physica A: Statistical Mechanics and its Applications, 2017, 486, pp.1000-1011. ⟨10.1016/j.physa.2017.06.010⟩hal-03177125v1
Article dans une revue
François Dubois, Chao-An Lin, Mohamed Mahdi Tekitek. Anisotropic thermal lattice Boltzmann simulation of 2D natural convection in a square cavity
Computers & Fluids, 2016, 124, pp.278-287. ⟨10.1016/j.compfluid.2015.10.015⟩hal-00860736v2
Article dans une revue
François Dubois. On hyperbolic systems with entropy velocity covariant under the action of a group
Journal of Hyperbolic Differential Equations, 2015, 12 (04), pp.763-785. ⟨10.1142/s0219891615500228⟩hal-03181384v1
Article dans une revue
Nolwenn Balin, Fabien Casenave, François Dubois, Eric Duceau, Stefan Duprey, Isabelle Terrasse. Boundary element and finite element coupling for aeroacoustics simulations
Journal of Computational Physics, 2015, 294, pp.274-296. ⟨10.1016/j.jcp.2015.03.044⟩hal-03181398v1
Article dans une revue
François Dubois, Tony Fevrier, Benjamin Graille. Lattice Boltzmann Schemes with Relative Velocities
Communications in Computational Physics, 2015, 17 (4), pp.1088-1112. ⟨10.4208/cicp.2014.m394⟩hal-01088901v1
Article dans une revue
Olivier Maurice, Alain Reineix, Philippe Durand, François Dubois. Kron's method and cell complexes for magnetomotive and electromotive forces
IAENG International Journal of Applied Mathematics, 2014, 44 (4), pp.183 - 191. ⟨10.48550/arXiv.1412.0187⟩hal-00923281v2
Article dans une revue
François Dubois. Simulation of strong nonlinear waves with vectorial lattice Boltzmann schemes
International Journal of Modern Physics C, 2014, 25 (12), pp.1441014. ⟨10.1142/S0129183114410149⟩hal-03181383v1
Article dans une revue
Adeline Augier, François Dubois, Benjamin Graille, Pierre Lallemand. On rotational invariance of lattice Boltzmann schemes
Computers & Mathematics with Applications, 2014, 67 (2), pp.239-255. ⟨10.1016/j.camwa.2013.06.009⟩hal-00986779v1
Article dans une revue
François Dubois, Pierre Lallemand. On triangular lattice Boltzmann schemes for scalar problems
Communications in Computational Physics, 2013, 13 (3), pp.649-670. ⟨10.4208/cicp.381011.270112s⟩hal-00860832v1
Article dans une revue
Pierre Lallemand, François Dubois. Some results on energy-conserving lattice Boltzmann models
Computers & Mathematics with Applications, 2013, 65 (6), pp.831-844. ⟨10.1016/j.camwa.2012.11.007⟩hal-03177478v1
Article dans une revue
Adeline Augier, François Dubois, Loïc Gouarin, Benjamin Graille. Linear lattice Boltzmann schemes for acoustic: Parameter choices and isotropy properties
Computers & Mathematics with Applications, 2013, 65 (6), pp.845-863. ⟨10.1016/j.camwa.2012.06.025⟩hal-03177490v1
Article dans une revue
Youness Noumir, François Dubois, Olivier Lafitte. Numerical Eulerian method for linearized gas dynamics in the high frequency regime
Numerische Mathematik, 2013, 127 (4), pp.641-683. ⟨10.1007/s00211-013-0598-5⟩hal-00922901v2
Article dans une revue
Pierre Lallemand, François Dubois. Comparison of Simulations of Convective Flows
Communications in Computational Physics, 2013, 17 (05), pp.1169 - 1184. ⟨10.4208/cicp.2014.m400⟩hal-00545244v2
Article dans une revue
François Dubois. Stable lattice Boltzmann schemes with a dual entropy approach for monodimensional nonlinear waves
Computers & Mathematics with Applications, 2013, 65, pp.142-159. ⟨10.1016/j.camwa.2012.09.005⟩hal-00986823v1
Article dans une revue
François Dubois, Pierre Lallemand, Mohamed Mahdi Tekitek. On a superconvergent lattice Boltzmann boundary scheme
Computers & Mathematics with Applications, 2010, 59 (7), pp.2141-2149. ⟨10.1016/j.camwa.2009.08.055⟩hal-00329461v2
Article dans une revue
François Dubois, Hervé Le Meur, Claude Reiss. Mathematical modeling of antigenicity for HIV dynamics
MathematicS In Action, 2010, 3 (1), pp.1-35. ⟨10.48550/arXiv.0810.2988⟩hal-00336388v3
Article dans une revue
François Dubois, Pierre Lallemand. Towards higher order lattice Boltzmann schemes
Journal of Statistical Mechanics, 2009, 2009 (P06), pp.P06006. ⟨10.1088/1742-5468/2009/06/P06006⟩hal-03181407v1
Article dans une revue
Mohamed Mahdi M. Tekitek, Mohamed Bouzidi, François Dubois, Pierre Lallemand. Towards perfectly matching layers for lattice Boltzmann equation
Computers & Mathematics with Applications, 2009, 58 (5), pp.903-913. ⟨10.1016/j.camwa.2009.02.013⟩hal-03177693v1
Article dans une revue
Ana Cristina Galucio, Jean-François Deü, François Dubois. The G\(α\) -scheme for Approximation of Fractional Derivatives: Application to the Dynamics of Dissipative Systems
Journal of Vibration and Control, 2008, 14 (9-10), pp.1597-1605. ⟨10.1177/1077546307087427⟩hal-03181392v1
Article dans une revue
François Dubois, Pierre Lallemand. On lattice Boltzmann scheme, finite volumes and boundary conditions
Progress in Computational Fluid Dynamics, 2008, 8 (1/2/3/4), pp.11. ⟨10.1504/pcfd.2008.018075⟩hal-03181393v1
Article dans une revue
François Dubois. Third order equivalent equation of lattice Boltzmann scheme
Discrete and Continuous Dynamical Systems - Series A, 2008, 23 (1/2), pp.221-248. ⟨10.3934/dcds.2009.23.221⟩hal-01809947v1
Article dans une revue
François Dubois. Equivalent partial differential equations of a lattice Boltzmann scheme
Computers & Mathematics with Applications, 2008, 55 (7), pp.1441 - 1449. ⟨10.1016/j.camwa.2007.08.003⟩hal-03181406v1
Article dans une revue
Mohamed Mahdim. Tekitek, M\textquotesingle Hamed Bouzidi, François Dubois, Pierre Lallemand. On numerical reflected waves in lattice Boltzmann schemes
Progress in Computational Fluid Dynamics, 2008, 8 (1/2/3/4), pp.49. ⟨10.1504/pcfd.2008.018078⟩hal-03178676v1
Article dans une revue
François Dubois. Une introduction au schéma de Boltzmann sur réseau
ESAIM: Proceedings, 2007, 18, pp.181-215. ⟨10.1051/proc:071815⟩hal-01016184v1
Article dans une revue
Mohamed Mahdi Tekitek, M'Hamed Bouzidi, François Dubois, Pierre Lallemand. Adjoint Lattice Boltzmann Equation for Parameter Identification
Computers and Fluids, 2006, 35 (8-9), pp.805-813. ⟨10.1016/j.compfluid.2005.07.015⟩hal-01516404v1
Article dans une revue
Ana Cristina Galucio, Jean-François Deü, Stéphanie Mengué, François Dubois. An adaptation of the Gear scheme for fractional derivatives
Computer Methods in Applied Mechanics and Engineering, 2006, 195 (44-47), pp.6073-6085. ⟨10.1016/j.cma.2005.10.013⟩hal-03181389v1
Article dans une revue
François Dubois, Stéphanie Mengué. Mixed Collocation for Fractional Differential Equations
Numerical Algorithms, 2003, 34 (2-4), pp.303-311. ⟨10.1023/b:numa.0000005367.21295.05⟩hal-03181403v1
Article dans une revue
Francesca Rapetti, François Dubois, Alain Bossavit. Integer matrix factorization for mesh defect detection
Comptes Rendus. Mathématique, 2002, 334 (8), pp.717-720. ⟨10.1016/s1631-073x(02)02318-x⟩hal-03181388v1
Article dans une revue
François Dubois. Vorticity-velocity-pressure formulation for the Stokes problem
Mathematical Methods in the Applied Sciences, 2002, 25 (13), pp.1091-1119. ⟨10.1002/mma.328⟩hal-00923745v1
Article dans une revue
François Dubois. Finite volumes and mixed Petrov-Galerkin finite elements : the unidimensional problem
Numerical Methods for Partial Differential Equations, 2000, 16 (3), p. 335-360. ⟨10.48550/arXiv.1401.0824⟩hal-03181385v1
Article dans une revue
François Dubois. Décomposition de flux et discontinuité de contact stationnaire
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2000, 330 (9), pp.847-850. ⟨10.1016/s0764-4442(00)00255-x⟩hal-03181386v1
Article dans une revue
François Dubois, Michel Salaün, Stéphanie Salmon. Discrete harmonics for the Stokes problem
Comptes Rendus de ltextquotesingle Académie des Sciences - Series I - Mathematics, 2000, 331 (10), pp.827-832. ⟨10.1016/s0764-4442(00)01726-2⟩Communication dans un congrès
hal-03175372v1
Communication dans un congrès
François Dubois. ABCD asymptotic expansion for lattice Boltzmann schemes and application to compressible Navier Stokes equations
Colloque des sciences mathématiques du Québec, Mar 2021, Montréal, Canadahal-02875620v1
Communication dans un congrès
François Dubois, Pierre Lallemand. Développement "ABCD" pour les schémas de Boltzmann sur réseau et application aux équations de Navier Stokes compressibles
Groupe de travail du Laboratoire de Mathématiques Appliquées de l'Onera, Jun 2020, Palaiseau, Francehal-03434871v1
Communication dans un congrès
François Dubois. General third order Chapman-Enskog expansion of lattice Boltzmann schemes
16th International Conference for Mesoscopic Methods in Engineering and Science, Jul 2019, Edinburgh, United Kingdomhal-03178023v1
Communication dans un congrès
François Dubois. Analysis of bounce-back boundary conditions with the Taylor expansion method
14th International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2017, Jul 2017, Nantes, Francehal-01490947v2
Communication dans un congrès
Zeno Toffano, François Dubois. Interpolation Methods for Binary and Multivalued Logical Quantum Gate Synthesis
TQC2017 - Theory of Quantum Computation, Communication and Cryptography, UPMC, Jun 2017, Paris, Francehal-01663592v2
Communication dans un congrès
François Dubois, Isabelle Greff, Charles Pierre. Raviart Thomas Petrov-Galerkin Finite Elements
Finite Volumes for Complex applications 8, Jun 2017, Lille, France. pp.341-349, ⟨10.1007/978-3-319-57397-7_27⟩hal-03179441v1
Communication dans un congrès
François Dubois, Isabelle Greff, Charles Pierre. Éléments finis de Raviart-Thomas de type Petrov-Galerkin
29ème Colloque de mécanique des fluides numérique CEA - SMAI/GAMNI, Jan 2017, Paris, Francehal-03179442v1
Communication dans un congrès
François Dubois. On macroscopic intricate states
World Organisation of Systems and Cybernetics Congress, WOSC 2017, Jan 2017, Rome, Italyhal-03179458v1
Communication dans un congrès
Zeno Toffano, François Dubois. Quantum observables for binary, multi-valued and fuzzy logic: Eigenlogic
7th Colloquium of the CNRS GDR Quantum Engineering, Foundations & Applications, IQFA, Nov 2016, Paris, Francehal-03179110v1
Communication dans un congrès
François Dubois, Pierre Lallemand, Mohamed Mahdi Tekitek. Bounce-back at first order
13th International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2016, Jul 2016, Hamburg, Germanyhal-03178635v1
Communication dans un congrès
Pierre Lallemand, François Dubois, Li-Shi Luo. Anomalous advection in LBE simulations
13th International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2016, Jul 2016, Hamburg, Germanyhal-03619971v1
Communication dans un congrès
François Dubois, Danielle Fortuné, Juan Antonio Rojas Quintero, Claude Vallée. Pontryagin calculus in Riemannian geometry
Geometric Science of Information - Second International Conference, GSI 2015, Oct 2015, Palaiseau, Francehal-03179439v1
Communication dans un congrès
François Dubois. Des automates cellulaires aux schémas de Boltzmann sur réseau
59th Souriau Colloquium, Colloque International de Théories Variationnelles, CITV, Jun 2015, Seignosse, Francehal-03179440v1
Communication dans un congrès
François Dubois, Tony Février, Benjamin Graille. Stabilité de deux schémas bidimensionnels à vitesse relative
27ème Colloque de mécanique des fluides numérique CEA - SMAI/GAMNI, Feb 2015, Paris, Francehal-03178633v1
Communication dans un congrès
François Dubois. Une introduction aux schémas de Boltzmann sur réseau
Conference on SPH and Particular Methods for Fluids and Fluid Structure Interaction, Jan 2015, Lille, Francehal-03179188v1
Communication dans un congrès
Ariane Lambert-Mogiliansky, François Dubois. Our (represented) world: A quantum-like object
Purdue Winer Memorial Lectures, PWML, Nov 2014, West Lafayette, Indiana, USA, Unknown Regionhal-03179599v1
Communication dans un congrès
Mohamed Mahdi Tekitek, Pierre Lallemand, François Dubois. Boundary conditions revisited
23rd International Conference on Discrete Simulation of Fluid Dynamics, DSFD 2014, Jul 2014, Paris, Francehal-03179187v1
Communication dans un congrès
François Dubois, Pierre Lallemand, Mohamed Mahdi Tekitek. Taylor expansion method for analyzing bounce-back boundary conditions for lattice Boltzmann method
23rd International Conference on Discrete Simulation of Fluid Dynamics, DFSD 2014, Jul 2014, Paris, France. ⟨10.1051/proc/201552002⟩hal-03179587v1
Communication dans un congrès
Tony Février, Benjamin Graille, François Dubois. On stability of lattice Boltzmann schemes with relative velocities
23rd International Conference on Discrete Simulation of Fluid Dynamics, DSFD 2014, Jul 2014, Paris, Francehal-03178632v1
Communication dans un congrès
François Dubois. An introduction to the analysis of lattice Boltzmann schemes
11th International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2014, Jul 2014, New York City, USA, Unknown Regionhal-01254213v1
Communication dans un congrès
Olivier Maurice, P Durand, Alain Reineix, François Dubois. Proposition d'une théorie pour la CEM
CEM2014, Jul 2014, Clermont Ferrand, Francehal-03181402v1
Communication dans un congrès
Olivier Maurice, Philippe Durand, Alain Reineix, François Dubois. Proposition d\textquotesingle une théorie pour la CEM
17ème Colloque International et Exposition sur la Compatibilité Electromagnétique, CEM 2014, Jun 2014, Clermont-Ferrand, Francehal-03179586v1
Communication dans un congrès
Tony Février, Benjamin Graille, François Dubois. Stabilité des schémas de Boltzmann à vitesses relatives : importance du choix des moments
42ème Congrès National d'Analyse Numérique, CANUM 2014, Mar 2014, Carry-le-Rouet, Bouches-du-Rhône, Francehal-03179186v1
Communication dans un congrès
François Dubois. On quantum models for opinion and voting intention polls
7th International Quantum Interaction Conference, QI 2013, Jul 2013, Leicester, UK, Unknown Region. ⟨10.1007/978-3-642-54943-4_26⟩hal-03181397v1
Communication dans un congrès
François Dubois. Simulation of strong nonlinear waves with vectorial lattice Boltzmann schemes
22nd International Conference on the Discrete Simulation of Fluid Dynamics, DFSD 2013, Jul 2013, Yerevan, Armeniahal-00864541v2
Communication dans un congrès
François Dubois, Pierre Lallemand, Mohamed Mahdi Tekitek. Taylor Expansion Method for Linear Lattice Boltzmann Schemes with an External Force: Application to Boundary Conditions
European Workshop on High Order Nonlinear Numerical Methods for Evolutionary PDEs: Theory and Applications, HONOM 2013, Mar 2013, Bordeaux, France. pp.89-107, ⟨10.1007/978-3-319-05455-1_6⟩hal-03181396v1
Communication dans un congrès
François Dubois. Sur les systèmes hyperboliques "à vitesse" invariants sous l\textquotesingle action d\textquotesingle un groupe
Colloque International de Théories Variationnelles, CITV, Aug 2012, Aix en Provence, Francehal-03179585v1
Communication dans un congrès
François Dubois. Sur les systèmes hyperboliques "à vitesse" invariants sous l' action d' un groupe
Colloque International de Théories Variationnelles, CITV, Aug 2012, Aix en Provence, Francehal-03178630v1
Communication dans un congrès
François Dubois. Rotational invariance of lattice Boltzmann schemes; Applications in acoustics
9th International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2012, Jul 2012, Taipei, Taiwanhal-03179226v1
Communication dans un congrès
Adeline Augier, François Dubois, Benjamin Graille. From isotropic partial differential equations to lattice Boltzmann schemes
9th International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2012, Jul 2012, Taipei, Taiwanhal-03179229v1
Communication dans un congrès
François Dubois. A quantum approach for determining a state of opinion
FUR XV International Conference on the Foundations and Applications of Utility, Risk and Decision Theory, FUR XV, Jun 2012, Atlanta, Georgia, USA, Unknown Regionhal-03181395v1
Communication dans un congrès
François Dubois, Pierre Lallemand. Triangular lattice Boltzmann schemes for scalar problems
20th International Conference on Discrete Simulation of Fluid Dynamics, DSFD 2011, Aug 2011, Fargo, North Dakota, USA, Unknown Regionhal-03178628v1
Communication dans un congrès
François Dubois. Stable lattice Boltzmann scheme for a moving Burgers shock wave
Seventh International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2010, Jul 2010, Edmonton, Alberta, Canadahal-03181394v1
Communication dans un congrès
François Dubois, Pierre Lallemand. Quartic parameters for acoustic applications of lattice Boltzmann scheme
Sixth International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2009, Jul 2009, Guangzhou, Chinahal-03179346v1
Communication dans un congrès
François Dubois. On voting process and quantum mechanics
Third International Symposium Quantum Interaction, QI 2009, Mar 2009, Saarbrücken, Germanyhal-03181382v1
Communication dans un congrès
Stephane Alestra, J. Collinet, François Dubois. Heat flux estimation for materials with pyrolysis and ablation
44ème Colloque AAAF d’Aérodynamique Appliquée, Mar 2009, Nantes, France. pp.109, ⟨10.1504/ijesms.2010.031876⟩hal-03181390v1
Communication dans un congrès
François Dubois, Pierre Lallemand. Increasing precision of shear and acoustic waves for DDH lattice Boltzmann scheme
17th International Conference on the Discrete Simulation of Fluid Dynamics, DSFD 2008, Aug 2008, Florianópolis, Brazilhal-03181405v1
Communication dans un congrès
Mohamed Mahdi Tekitek, M\textquotesingle Hamed Bouzidi, François Dubois, Pierre Lallemand. Towards perfectly matching layers for lattice Boltzmann equation
Fifth International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2008, Jun 2008, Amsterdam, Netherlandshal-03181391v1
Communication dans un congrès
François Dubois, Pierre Lallemand, Mohamed Mahdi Tekitek. Using the lattice Boltzmann scheme for anisotropic diffusion problems
5th International Symposium on Finite Volumes for Complex Applications - Problems and Perspectives, FVCA5, Jun 2008, Aussois, Francehal-03179560v1
Communication dans un congrès
Mohamed Mahdi Tekitek, M' Hamed Bouzidi, François Dubois, Pierre Lallemand. On numerical reflected waves for lattice Boltzmann schemes
Fourth International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2007, Jul 2007, Munich, Germanyhal-03178629v1
Communication dans un congrès
François Dubois. Equivalent equations of lattice Boltzmann schemes
Fourth International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2007, Jul 2007, Munich, Germanyhal-03178625v1
Communication dans un congrès
François Dubois. Lattice Boltzmann scheme and finite volumes
Third International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2006, Jul 2006, Hampton, Virginia, USA, Unknown Regionhal-03181401v1
Communication dans un congrès
Ana Cristina Galucio, Jean-François Deü, François Dubois. The G-alpha scheme to approximate fractional derivatives \textendash Application to dynamics of dissipative systems
Second IFAC Workshop on Fractional Differentiation and its Applications, FDA'06, Jul 2006, Porto, Portugalhal-03179546v1
Communication dans un congrès
Ana Cristina Galucio, Jean-François Deü, François Dubois. The G-alpha scheme to approximate fractional derivatives − Application to dynamics of dissipative systems
Second IFAC Workshop on Fractional Differentiation and its Applications, FDA'06, Jul 2006, Porto, Portugalhal-03178675v1
Communication dans un congrès
François Dubois. On direct and adjoint Lattice Boltzmann equations
Second International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2005, Jul 2005, Hong Kong, Unknown Regionhal-03179386v1
Communication dans un congrès
S. Borel, François Dubois, C. Lepotier, Mohamed Mahdi Tekitek. Boundary conditions for Petrov-Galerkin finite volumes
Fourth International Symposium on Finite Volumes for Complex Applications, Jul 2005, Marrakech, Moroccohal-03181387v1
Communication dans un congrès
François Dubois. Mixed Petrov-Galerkin finite volumes
Third International Symposium on Finite Volumes for Complex Applications, Problems and Perspectives, Jun 2002, Porquerolles, Francehal-03179615v1
Communication dans un congrès
François Dubois, Stéphanie Mengué. Mixed collocation for fractional differential equations
International Conference on Numerical Algorithms, Oct 2001, dedicated to Claude Brézinski, Marrakech, MoroccoChapitre d'ouvrage
hal-02122048v1
Chapitre d'ouvrage
Zeno Toffano, François Dubois. Eigenlogic Interpretable quantum observables with applications to fuzzy behavior of vehicular robots
Sergio Barile, Raul Espejo, Igor Perko, Marialuisa Saviano. Cybernetics and Systems: Social and Business Decisions, 1, Routledge, pp.519-525, 2018, ⟨10.4324/9780429486982-107⟩HDR
tel-03993881v1
HDR
François Dubois. Sur l'approximation numérique de quelques problèmes en mécanique des fluides
Mathématiques [math]. Université Pierre et Marie Curie, 1992Thèse
tel-03776988v1
Thèse
François Dubois. Quelques problèmes liés au calcul d'écoulements de fluides parfaits dans les tuyères
Analyse numérique [math.NA]. Université Pierre & Marie Curie, 1988. Français. ⟨NNT : ⟩Pré-publication, Document de travail
hal-03702835v1
Pré-publication, Document de travail
François Dubois, Pierre Lallemand. On single distribution lattice Boltzmann schemes for the approximation of Navier Stokes equations
2022hal-03663985v1
Pré-publication, Document de travail
François Dubois, Olivier Lafitte. Analytic solutions and numerical method for a coupled thermo-neutronic problem
2022hal-02382139v1
Pré-publication, Document de travail
François Dubois, Benjamin Graille, S.V. Raghurama Rao. A stability property for a mono-dimensional three velocities scheme with relative velocity
2019hal-02135600v3
Pré-publication, Document de travail
Filipa Caetano, François Dubois, Benjamin Graille. A result of convergence for a mono-dimensional two-velocities lattice Boltzmann scheme
2019hal-01150210v1
Pré-publication, Document de travail
François Dubois, Tony Février, Benjamin Graille. Stability of a bidimensional relative velocity lattice Boltzmann scheme
2015halshs-01152332v1
Pré-publication, Document de travail
Ariane Lambert-Mogiliansky, François Dubois. Our (represented) World: A Quantum-Like Object
2015hal-01113599v1
Pré-publication, Document de travail
François Dubois, Tony Fevrier, Benjamin Graille. On the stability of a relative velocity lattice Boltzmann scheme for compressible Navier-Stokes equations
2015hal-01113598v1
Pré-publication, Document de travail
Benjamin Graille, François Dubois, Tony Fevrier. Third order equivalent equation for the relative velocity lattice Boltzmann schemes with one conservation law
2015hal-00917241v2
Pré-publication, Document de travail
François Dubois, Tony Fevrier, Benjamin Graille. Lattice Boltzmann schemes with relative velocities
2015hal-03177187v3
Pré-publication, Document de travail
François Dubois. Pourquoi la gamme a sept notes ? Une mathématique des notes et des gammes
1999Rapport
hal-00944696v2
Rapport
Nolwenn Balin, Fabien Casenave, François Dubois, Eric Duceau, Stefan Duprey, Isabelle Terrasse. Boundary Element and Finite Element Coupling for Aeroacoustics Simulations
[Research Report] Airbus. 2014hal-00923240v1
Rapport
Adeline Augier, François Dubois, Benjamin Graille, Pierre Lallemand. On rotational invariance of lattice Boltzmann schemes
2013hal-03858927v1
François Dubois, Olivier Lafitte. An analytic and symbolic analysis of a coupled thermo-neutronic problem
IEEE, pp.61-65, 2021, ⟨10.1109/synasc54541.2021.00022⟩Publications
Revues à comité de lecture ACL
2022
2020
F. Dubois, B. Graille, S. V. Raghurama Rao, A notion of non-negativity preserving relaxation for a mono-dimensional three velocities scheme with relative velocity, Journal of Computational Science, 47, 101181 (10 pages), 2020. doi
F. Dubois, P. Lallemand, M. M. Tekitek, On anti bounce back boundary condition for lattice Boltzmann schemes, Computers & Mathematics with Applications, 79 (3), 555-575, 2020. doi
Z. Toffano, F. Dubois, Adapting logic to physics: The quantum-like eigenlogic program, Entropy, 22 (2), 139 (20 pages), 2020. doi
2019
F. Dubois, P. Lallemand, M. M. Tekitek, Generalized bounce back boundary condition for the nine velocities two-dimensional lattice Boltzmann scheme, Computers & Fluids, 193, 103534 (12 pages), 2019. doi
A. Khrennikov, Z. Toffano, F. Dubois, Concept of information laser: From quantum theory to behavioural dynamics, The European Physical Journal Special Topics, 227 (15-16), 2133-2153, 2019. doi
F. Dubois, I. Greff, C. Pierre, Raviart–Thomas finite elements of Petrov–Galerkin type, ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN), 53 (5), 1553–1576, 2019. doi
2018
B. M. Boghosian, F. Dubois, B. Graille, P. Lallemand, M. M. Tekitek, Curious convergence properties of lattice Boltzmann schemes for diffusion with acoustic scaling, Communications in Computational Physics, 23 (4), 1263-1278, 2018. doi
2017
F. Dubois, P. Lallemand, C. Obrecht, M. M. Tekitek, Lattice Boltzmann model approximated with finite difference expressions, Computers & Fluids, 155, 3-8, 2017. doi
H. Otomo, B. M. Boghosian, F. Dubois, Two complementary lattice-Boltzmann-based analyses for nonlinear systems, Physica A: Statistical Mechanics and its Applications, 486, 1000–1011, 2017. doi
2016
F. Dubois, C.-A. Lin, M. M. Tekitek, Anisotropic thermal lattice Boltzmann simulation of 2D natural convection in a square cavity, Computers & Fluids, 124, 278-287, 2016. doi
2015
N. Balin, F. Casenave, F. Dubois, É. Duceau, S. Duprey, I. Terrasse, Boundary element and finite element coupling for aeroacoustics simulations, Journal of Computational Physics, 294, 274–296, 2015. doi
P. Lallemand, F. Dubois, Comparison of simulations of convective flows, Communications in Computational Physics, 17 (5), 1169-1184, 2015. doi
F. Dubois, T. Février, B. Graille, Lattice Boltzmann schemes with relative velocities, Communications in Computational Physics, 17 (4), 1088-1112, 2015. doi
F. Dubois, T. Février, B. Graille, On the stability of a relative velocity lattice Boltzmann scheme for compressible Navier–Stokes equations, Comptes Rendus Mécanique, 343 (10-11), 599-610, 2015. doi
F. Dubois, P. Lallemand, M. M. Tekitek, Taylor expansion method for analyzing bounce-back boundary conditions for lattice Boltzmann method, ESAIM: Proceedings and Surveys, 52, 25-46, 2015. doi
F. Dubois, On hyperbolic systems with entropy velocity covariant under the action of a group, Journal of Hyperbolic Differential Equations, 12 (4), 763-785, 2015. doi
2014
A. Augier, F. Dubois, B. Graille, P. Lallemand, On rotational invariance of lattice Boltzmann schemes, Computers & Mathematics with Applications, 67 (2), 239–255, 2014. doi
F. Dubois, Simulation of strong nonlinear waves with vectorial lattice Boltzmann schemes, International Journal of Modern Physics C, 25 (12), 1441014 (9 pages), 2014. doi
P. Durand, F. Dubois, O. Maurice, F. Boussandel, A. Reineix, Networks, topology and interaction principle implemented in the Kron's method, Journal of Mathematics and System Science, 4 (6), 444-455, 2014. link
O. Maurice, A. Reineix, P. Durand, F. Dubois, Kron's method and cell complexes for magnetomotive and electromotive forces, IAENG International Journal of Applied Mathematics, 44 (4), 183-191, 2014. link
Y. Noumir, F. Dubois, O. Lafitte, Numerical Eulerian method for linearized gas dynamics in the high frequency regime, Numerische Mathematik, 127 (4), 641-683, 2014. doi
2013
F. Dubois, P. Lallemand, On triangular lattice Boltzmann schemes for scalar problems, Communications in Computational Physics, 13 (3), 649-670, 2013. doi
A. Augier, F. Dubois, L. Gouarin, B. Graille, Linear lattice Boltzmann schemes for acoustic: Parameter choices and isotropy properties, Computers & Mathematics with Applications, 65 (6), 845-863, 2013. doi
P. Lallemand, F. Dubois, Some results on energy-conserving lattice Boltzmann models, Computers & Mathematics with Applications, 65 (6), 831-844, 2013. doi
F. Dubois, Stable lattice Boltzmann schemes with a dual entropy approach for monodimensional nonlinear waves, Computers & Mathematics with Applications, 65 (2), 142-159, 2013. doi
2011
F. Dubois, P. Lallemand, Quartic parameters for acoustic applications of lattice Boltzmann scheme, Computers & Mathematics with Applications, 61 (12), 3404-3416, 2011. doi
2010
F. Dubois, P. Lallemand, M. M. Tekitek, On a superconvergent lattice Boltzmann boundary scheme, Computers & Mathematics with Applications, 59 (7), 2141-2149, 2010. doi
S. Alestra, J. Collinet, F. Dubois, Heat flux estimation for materials with pyrolysis and ablation, International Journal of Engineering Systems Modelling and Simulation, 2 (1-2), 109 - 127, 2010. doi
F. Dubois, H. Le Meur, C. Reiss, Mathematical modeling of antigenicity for HIV dynamics, MathematicS In Action, 3 (1), 1-35, 2010. doi
2009
M. M. Tekitek, M. Bouzidi, F. Dubois, P. Lallemand, Towards perfectly matching layers for lattice Boltzmann equation, Computers & Mathematics with Applications, 58 (5), 903-913, 2009. doi
F. Dubois, P. Lallemand, Towards higher order lattice Boltzmann schemes, Journal of Statistical Mechanics: Theory and Experiment, P06006, 2009. doi
F. Dubois, Third order equivalent equation of lattice Boltzmann scheme, Discrete and Continuous Dynamical Systems - Series A, 23 (1-2), 221-248, 2009. doi
2008
A. C. Galucio, J.-F. Deü, F. Dubois, The Gα scheme for approximation of fractional derivatives: Application to the dynamics of dissipative systems, Journal of Vibration and Control, 14 (9-10), 1597-1605, 2008. doi
F. Dubois, Equivalent partial differential equations of a lattice Boltzmann scheme, Computers & Mathematics with Applications, 55 (7), 1441-1449, 2008. doi
M. M. Tekitek, M. Bouzidi, F. Dubois, P. Lallemand, On numerical reflected waves in lattice Boltzmann schemes, Progress in Computational Fluid Dynamics, 8 (1-2-3-4), 49-55, 2008. doi
F. Dubois, P. Lallemand, On lattice Boltzmann scheme, finite volumes and boundary conditions, Progress in Computational Fluid Dynamics, 8 (1-2-3-4), 11-24, 2008. doi
2007
F. Dubois, Une introduction au schéma de Boltzmann sur réseau, ESAIM: Proceedings, 18, 181-215, 2007. doi
2006
M. M. Tekitek, M. Bouzidi, F. Dubois, P. Lallemand, Adjoint lattice Boltzmann equation for parameter identification, Computers & Fluids, 35 (8-9), 805-813, 2006. doi
A. C. Galucio, J.-F. Deü, S. Mengué, F. Dubois, An adaptation of the Gear scheme for fractional derivatives, Computer Methods in Applied Mechanics and Engineering, 195 (44-47), 6073-6085, 2006. doi
2003
F. Rapetti, F. Dubois, A. Bossavit, Discrete vector potentials for non-simply connected three-dimensional domains, SIAM Journal on Numerical Analysis, 41 (4), 1505-1527, 2003. doi
F. Dubois, M. Salaün, S. Salmon, First vorticity-velocity-pressure numerical scheme for the Stokes problem, Computer Methods in Applied Mechanics and Engineering, 192 (44-46), 4877-4907, 2003. doi
F. Dubois, M. Salaün, S. Salmon, Vorticity–velocity-pressure and stream function-vorticity formulations for the Stokes problem, Journal de Mathématiques Pures et Appliquées, 82 (11), 1395-1451, 2003. doi
F. Dubois, S. Mengué, Mixed collocation for fractional differential equations, Numerical Algorithms, 34 (2-4), 303-311, 2003. doi
2002
F. Rapetti, F. Dubois, A. Bossavit, Integer matrix factorization for mesh defect detection, Comptes Rendus Mathématique, 334 (8), 717-720, 2002. doi
F. Dubois, M. Salaün, S. Salmon, Discrete harmonics for stream function-vorticity Stokes problem, Numerische Mathematik, 92 (4), 711-742, 2002. doi
F. Dubois, Vorticity-velocity-pressure formulation for the Stokes problem, Mathematical Methods in the Applied Sciences, 25 (13), 1091-1119, 2002. doi
T. Abboud, F. Dubois, M. Salaün, S. Salmon, A new method for investigating boundary vorticity, Journal of Turbulence, 3 (44), 2002. doi
2000
F. Dubois, Décomposition de flux et discontinuité de contact stationnaire, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 330 (9), 847-850, 2000. doi
F. Dubois, M. Salaün, S. Salmon, Discrete harmonics for the Stokes problem, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 331 (10), 827-832, 2000. doi
F. Dubois, Finite volumes and mixed Petrov-Galerkin finite elements: The unidimensional problem, Numerical Methods for Partial Differential Equations, 16 (3), 335-360, 2000. doi
Conférences internationales ACTI
2021
F. Dubois, P. Lallemand. Simulate the thermal Navier Stokes equations with single particle distribution: Theoretical results. Proceedings of the 17th International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2021, Hammamet, Tunisia, July 12-16, 2021.
F. Dubois, O. Lafitte. An analytic and symbolic analysis of a coupled thermo-neutronic problem. Proceedings of the 23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2021, online, Timisoara, Romania, December 7-10, 2021. doi
2019
F. Dubois, B. Graille, S.V. Raghurama Rao. A stability property for a mono-dimensional three velocities scheme with relative velocity. Proceedings of the 28th International Conference on Discrete Simulation of Fluid Dynamics, DSFD 2019, Bangalore, India, July 22-26, 2019.
T. Van Hoof, F. Dubois, Z. Alsalihi, F. Caetano, L. Gouarin, B. Graille, T. Magin, M. Massot, P. Schrooyen. Hypersonic flow simulation using lattice Boltzmann method - A feasibility assessment study. Proceedings of the International Conference on Flight vehicles, Aerothermodynamics and Re-entry Missions and Engineering, FAR 2019, Monopoli, Italy, September 30 - October 3, 2019.
F. Dubois. General third order Chapman-Enskog expansion of lattice Boltzmann schemes. Proceedings of the 16th International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2019, Edinburgh, UK, July 22-26, 2019.
2017
F. Dubois, I. Greff, C. Pierre. Raviart Thomas Petrov–Galerkin finite elements. Proceedings of the International Conference on Finite Volumes for Complex Applications VIII, FVCA8, Lille, France, June 12-16, 2017. doi
2016
F. Dubois, Z. Toffano. Eigenlogic: A quantum view for multiple-valued and fuzzy systems. Proceedings of the 10th International Conference on Quantum Interaction, QI 2016, San Francisco, California, USA, July 20-22, 2016. doi
F. Dubois, B. Graille, P. Lallemand. Recovering the full Navier Stokes equations with lattice Boltzmann schemes. Proceedings of the 30th International Symposium on Rarefied Gas Dynamics, RGD 30, Victoria BC, Canada, July 10-15, 2016. doi
F. Dubois, P. Lallemand, M. M. Tekitek. Bounce-back at first order. Proceedings of the 13th International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2016, Hamburg, Germany, July 18-22, 2016.
2015
F. Dubois, D. Fortuné, J. A. Rojas Quintero. Pontryagin calculus in Riemannian geometry. Proceedings of the 2nd International Conference on Geometric Science of Information, GSI 2015, Palaiseau, France, October 28-30, 2015. doi
2014
A. Lambert-Mogiliansky, F. Dubois. Transparency in public life: A quantum cognition perspective. Proceedings of the 8th International Conference on Quantum Interaction, QI-14, Filzbach, Switzerland, June 30 - July 03, 2014. doi
A. Lambert-Mogiliansky, F. Dubois. Our (represented) world: A quantum-like object. Proceedings of the Purdue Winer Memorial Lectures, PWML, West Lafayette, Indiana, USA, November 1-3, 2014.
F. Dubois, P. Lallemand, M. M. Tekitek. Taylor expansion method for analyzing bounce-back boundary conditions for lattice Boltzmann method. Proceedings of the 23rd International Conference on Discrete Simulation of Fluid Dynamics, DFSD 2014, Paris, France, July 28 - August 1st, 2014. doi
2013
F. Dubois. On quantum models for opinion and voting intention polls. Proceedings of the 7th International Quantum Interaction Conference, QI 2013, Leicester, UK, July 25-27, 2013. doi
F. Dubois, P. Lallemand, M. M. Tekitek. Taylor expansion method for linear lattice Boltzmann schemes with an external drift. Application to boundary conditions. Proceedings of the European Workshop on High Order Nonlinear Numerical Methods for Evolutionary PDEs: Theory and Applications, HONOM 2013, Bordeaux, France, March 18-22, 2013. doi
F. Dubois. Simulation of strong nonlinear waves with vectorial lattice Boltzmann schemes. Proceedings of the 22nd International Conference on the Discrete Simulation of Fluid Dynamics, DFSD 2013, Yerevan, Armenia, July 15-19, 2013.
2012
A. Augier, F. Dubois, B. Graille. From isotropic partial differential equations to lattice Boltzmann schemes. Proceedings of the 9th International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2012, Taipei, Taiwan, July 23-27, 2012.
O. Maurice, A. Reineix, P. Durand, F. Dubois. On mathematical definition of chords between networks. Proceedings of the European Conference and Exhibition on Electromagnetics, EUROEM 2012, Toulouse, France, July 2-6, 2012.
F. Dubois. A quantum approach for determining a state of opinion. Proceedings of the FUR XV International Conference on the Foundations and Applications of Utility, Risk and Decision Theory, FUR XV, Atlanta, Georgia, USA, June 30 - July 3, 2012.
F. Dubois, I. Greff, T. Hélie. On least action principles for discrete quantum scales. Proceedings of the 6th International Conference on Quantum Interaction, QI'2012, Paris, France, June 27-29, 2012. doi
2011
F. Dubois, P. Lallemand. Triangular lattice Boltzmann schemes for scalar problems. Proceedings of the 20th International Conference on Discrete Simulation of Fluid Dynamics, DSFD 2011, Fargo, North Dakota, USA, August 8-12, 2011.
2009
F. Dubois. On voting process and quantum mechanics. Proceedings of the Third International Symposium Quantum Interaction, QI 2009, Saarbrücken, Germany, March 25-27, 2009.
2008
M. M. Tekitek, M. Bouzidi, F. Dubois, P. Lallemand. Towards perfectly matching layers for lattice Boltzmann equation. Proceedings of the Fifth International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2008, Amsterdam, Netherlands, June 16-20, 2008.
F. Dubois, P. Lallemand, M. M. Tekitek. Using the lattice Boltzmann scheme for anisotropic diffusion problems. Proceedings of the 5th International Symposium on Finite Volumes for Complex Applications - Problems and Perspectives, FVCA5, Aussois, France, June 8-13, 2008.
2007
M. M. Tekitek, M. Bouzidi, F. Dubois, P. Lallemand. On numerical reflected waves for lattice Boltzmann schemes. Proceedings of the Fourth International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2007, Munich, Germany, July 16-20, 2007.
2006
A. C. Galucio, J.-F. Deü, F. Dubois. The G-alpha scheme to approximate fractional derivatives – Application to dynamics of dissipative systems. Proceedings of the Second IFAC Workshop on Fractional Differentiation and its Applications, FDA’06, Porto, Portugal, July 19-21, 2006.
2005
S. Borel, F. Dubois, C. Lepotier, M. M. Tekitek. Boundary conditions for Petrov-Galerkin finite volumes. Proceedings of the Fourth International Symposium on Finite Volumes for Complex Applications, Marrakech, Morocco, July 4-8, 2005.
2002
F. Dubois. Mixed Petrov-Galerkin finite volumes. Proceedings of the Third International Symposium on Finite Volumes for Complex Applications, Problems and Perspectives, Porquerolles, France, June 24-28, 2002.
2001
F. Dubois, S. Mengué. Mixed collocation for fractional differential equations. Proceedings of the International Conference on Numerical Algorithms, dedicated to Claude Brézinski, Marrakech, Morocco, October 1-5, 2001.
Conférences nationales ACTN
2013
T. Février, B. Graille, F. Dubois. Une classe de schémas de Boltzmann sur réseau recentrés en vitesse. Actes de la 6ème Biennale Française des Mathématiques Appliquées et Industrielles, Congrès SMAI 2013, Seignosse, Landes, France, 27-31 mai 2013.
2012
T. Février, B. Graille, F. Dubois. Étude d'un schéma de Boltzmann sur réseau recentré en vitesse. Actes du 41ème Congrès National d'Analyse Numérique, CANUM 2012, Superbesse, France, 21-25 mai 2012.
2011
A. Augier, F. Dubois, B. Graille. Isotropy conditions for lattice Boltzmann schemes. Application to D2Q9. Actes de la 5ème Biennale Française des Mathématiques Appliquées et Industrielles, SMAI 2011, Guidel, France, 23-27 mai 2011. doi
2007
M. M. Tekitek, M. Bouzidi, F. Dubois, P. Lallemand. Dioptre acoustique avec le schéma de Boltzmann sur réseau. Actes du 3ème Congrès National de Mathématiques Appliquées et Industrielles, SMAI 2007, Praz sur Arly, Haute-Savoie, France, 4-8 juin 2007.
F. Dubois. A variation on the "infsup" condition. Actes de la Vème Foire aux Éléments Finis Européenne, FEFE, Marseille, France, 14-19 mai 2007.
Conférences invitées INV
2021
F. Dubois. Asymptotics and boundary condition. Short Course of the 17th International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2021, Hammamet, Tunisia, July 12-16, 2021.
2017
F. Dubois. Analysis of bounce-back boundary conditions with the Taylor expansion method. Short Course of the 14th International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2017, Nantes, France, July 17-21, 2017.
2016
P. Lallemand, F. Dubois, L.-S. Luo. Anomalous advection in LBE simulations. Invited talk of the 13th International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2016, Hamburg, Germany, July 18-22, 2016.
2015
F. Dubois. Une introduction aux schémas de Boltzmann sur réseau. Keynote Lecture of the Conference on SPH and Particular Methods for Fluids and Fluid Structure Interaction, Lille, France, January 21-22, 2015.
2014
F. Dubois. An introduction to the analysis of lattice Boltzmann schemes. Short Course of the 11th International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2014, New York City, USA, July 14-18, 2014.
2012
F. Dubois. Rotational invariance of lattice Boltzmann schemes; Applications in acoustics. Invited Lecture of the 9th International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2012, Taipei, Taiwan, July 23-27, 2012.
2010
F. Dubois. Stable lattice Boltzmann scheme for a moving Burgers shock wave. Invited Lecture of the Seventh International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2010, Edmonton, Alberta, Canada, July 12-16, 2010.
2009
F. Dubois, P. Lallemand. Quartic parameters for acoustic applications of lattice Boltzmann scheme. Invited Lecture of the Sixth International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2009, Guangzhou, China, July 13-17, 2009.
2007
F. Dubois. Equivalent equations of lattice Boltzmann schemes. Invited Lecture of the Fourth International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2007, Munich, Germany, July 16-20, 2007.
2006
F. Dubois. Lattice Boltzmann scheme and finite volumes. Invited Lecture of the Third International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2006, Hampton, Virginia, USA, July 24-28, 2006.
2005
F. Dubois. On direct and adjoint Lattice Boltzmann equations. Invited Lecture of the Second International Conference for Mesoscopic Methods in Engineering and Science, ICMMES 2005, Hong Kong, July 25-29, 2005.
Communications COM
2017
F. Dubois, I. Greff, C. Pierre. Éléments finis de Raviart-Thomas de type Petrov-Galerkin. 29ème Colloque de mécanique des fluides numérique CEA - SMAI/GAMNI, Paris, France, 30-31 janvier 2017.
Z. Toffano, F. Dubois. Eigenlogic: Interpretable quantum observables. The World Organisation of Systems and Cybernetics Congress, WOSC 2017, Rome, Italy, January 25-27, 2017.
F. Dubois. On macroscopic intricate states. The World Organisation of Systems and Cybernetics Congress, WOSC 2017, Rome, Italy, January 25-27, 2017.
Z. Toffano, F. Dubois. Interpolation methods for binary and multivalued logical quantum gate synthesis. The 12th Conference on the Theory of Quantum Computation, Communication and Cryptography, TQC 2017, Paris, France, June 14-16, 2017.
2016
Z. Toffano, F. Dubois. Quantum observables for binary, multi-valued and fuzzy logic: Eigenlogic. The 7th Colloquium of the CNRS GDR Quantum Engineering, Foundations & Applications, IQFA, Paris, France, November 16-18, 2016.
2015
F. Dubois. Des automates cellulaires aux schémas de Boltzmann sur réseau. The 59th Souriau Colloquium, Colloque International de Théories Variationnelles, CITV, Seignosse, France, June 28 - July 3, 2015.
F. Dubois, T. Février, B. Graille. Stabilité de deux schémas bidimensionnels à vitesse relative. 27ème Colloque de mécanique des fluides numérique CEA - SMAI/GAMNI, Paris, France, 5-6 février 2015.
2014
T. Février, B. Graille, F. Dubois. Stabilité des schémas de Boltzmann à vitesses relatives : importance du choix des moments. 42ème Congrès National d'Analyse Numérique, CANUM 2014, Carry-le-Rouet, Bouches-du-Rhône, France, 31 mars - 4 avril 2014.
M. M. Tekitek, P. Lallemand, F. Dubois. Boundary conditions revisited. The 23rd International Conference on Discrete Simulation of Fluid Dynamics, DSFD 2014, Paris, France, July 28 - August 1st, 2014.
T. Février, B. Graille, F. Dubois. On stability of lattice Boltzmann schemes with relative velocities. The 23rd International Conference on Discrete Simulation of Fluid Dynamics, DSFD 2014, Paris, France, July 28 - August 1st, 2014.
O. Maurice, P. Durand, A. Reineix, F. Dubois. Proposition d'une théorie pour la CEM. 17ème Colloque International et Exposition sur la Compatibilité Electromagnétique, CEM 2014, Clermont-Ferrand, France, 30 juin - 3 juillet 2014.
2013
F. Dubois. On hyperbolic systems with entropy velocity covariant under the action of a group. Colloque International de Théories Variationnelles, CITV, Aix en Provence, France, 19 août 2013.
2012
F. Dubois. Sur les systèmes hyperboliques "à vitesse" invariants sous l'action d'un groupe. Colloque International de Théories Variationnelles, CITV, Aix en Provence, France, 28 août 2012.
2008
F. Dubois, P. Lallemand. Increasing precision of shear and acoustic waves for DDH lattice Boltzmann scheme. The 17th International Conference on the Discrete Simulation of Fluid Dynamics, DSFD 2008, Florianópolis, Brazil, August 4-8, 2008.
Ouvrages et chapitres OS
2019
F. Dubois, Méthodes mathématiques pour le traitement du signal, Bookelis, 130 pages, 2019. link
ISBN : 979-1-035-90273-5
2015
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A. Lambert-Mogiliansky, F. Dubois, Chapter 16: Our (represented) world: A Quantum-like object, 367-386, Advanced Series on Mathematical Psychology, Volume 6, Contextuality from Quantum Physics to Psychology, Edited by E. Dzhafarov, S. Jordan, R. Zhang and V. Cervantes, World Scientific, 480 pages, 2015. doi ISBN : 978-9-814-73060-0 |
2005
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B. Després, F. Dubois, Systèmes hyperboliques de lois de conservation - Application à la dynamique des gaz, Les Éditions de l'École Polytechnique, 206 pages, 2005. ISBN : 978-273-021-253-3 |
2002
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F. Dubois, Petrov-Galerkin finite volumes, 203-210, Finite Volumes for Complex Applications, Volume 3, Problems and Perspectives, Edited by R. Herbin and D. Kröner, Kogan Page Science, 851 pages, 2002. ISBN : 978-190-399-634-8 |
Éditeurs invités
2016
S. Dellacherie, F. Dubois, S. Fauve, R. Gatignol, guest editors for topical issue on Discrete simulation of fluid dynamics, Mechanics & Industry, 17 (2), 201, 2016. doi
2015
S. Dellacherie, F. Dubois, S. Fauve, R. Gatignol, guest editors for special issue on Lattice Boltzmann methods and numerical analysis, ESAIM: Proceedings and Surveys, 52, I-III, 2015. doi
S. Dellacherie, F. Dubois, S. Fauve, R. Gatignol, D. d'Humières, guest editors for special issue on Lattice Boltzmann algorithms and statistical physics, Discrete simulation of fluid dynamics, Journal of Statistical Physics, 161 (6), 1325-1326, 2015. doi
S. Dellacherie, F. Dubois, S. Fauve, R. Gatignol, guest editors for special issue on Lattice Boltzmann methods for solving problems in mechanics / Méthodes de Boltzmann sur réseau pour la résolution de problèmes de mécanique, Discrete simulation of fluid dynamics, Comptes Rendus Mécanique, 343 (10-11), 515-517, 2015. doi
2012
J. R. Busemeyer, F. Dubois, A. Lambert-Mogiliansky, M. Melucci, editors for Quantum Interaction, Lecture Notes in Computer Science, Volume 7620, 239 pages, Springer, 2012, ISBN : 978-3-642-35658-2. Revised selected papers of the 6th International Conference on Quantum Interaction, QI'2012, Paris, France, June 27-29, 2012. doi