Christian Lécot

Professeur


Informations diverses

  • Équipe de recherche : Équations aux dérivées partielles - études déterministes et probabilistes
  • Numéro de bureau : 125
  • Numéro de poste : 8732
  • mél : Christian.Lecot@univ-savoie.fr
  • Responsable de la licence de mathématiques
  • Responsable du parcours économie de la licence M.A.S.S.
  • Chargé de mission pour les relations internationales de l'U.F.R. S.F.A.
  • Éditeur du journal Mathematics and Computers in Simulation (Elsevier)



Thèmes de Recherche

Mon travail de recherche est centré sur la mise au point et l'étude de méthodes numériques. 

Une partie concerne les méthodes quasi-Monte Carlo.

L'autre partie est liée à plusieurs domaines d'application : neutronique, plasmas, micro-fluidique. 


Articles 

  1. C. Lécot, Error bounds for some characteristic methods in an exceptional case, Transport Theory and Statistical Physics 13, 377-408 (1984)
  2. C. Lécot, Numerical analysis of step characteristic methods and computational comparison with step nodal methods in x,y geometry, Transport Theory and Statistical Physics 15, 61-91 (1986)
  3. C. Lécot, A direct simulation Monte Carlo scheme and uniformly distributed sequences for solving the Boltzmann equation, Computing 41, 41-57 (1989)
  4. C. Lécot, Low discrepancy sequences for solving the Boltzmann equation, Journal of Computational and Applied Mathematics 25, 237-249 (1989)
  5. C. Lécot, An algorithm for generating low discrepancy sequences on vector computers, Parallel Computing 11, 113-116 (1989)
  6. C. Lécot, A quasi-Monte Carlo method for the Boltzmann equation, Mathematics of Computation 56, 621-644 (1991)
  7. C. Lécot, Error bounds for quasi-Monte Carlo integration with nets, Mathematics of Computation 65, 179-187 (1996)
  8. I. Coulibaly and C. Lécot, Particle simulations of the Kac model of the Boltzmann equation, Journal of Computational and Applied Mathematics 87, 169-193 (1997)
  9. I. Coulibaly and C. Lécot, Simulation of diffusion using quasi-random walk methods, Mathematics and Computers in Simulation 47, 153-163 (1998)
  10. A. Girard, C. Perret, G. Melin, and C. Lécot, Modeling of electron-cyclotron-resonance ion source and scaling laws, Review of Scientific Instruments 69, 1100-1102 (1998)
  11. C. Lécot and I. Coulibaly, A quasi-Monte Carlo scheme using nets for a linear Boltzmann equation, SIAM Journal on Numerical Analysis 35, 51-70 (1998)
  12. C. Lécot and I. Coulibaly, A particle method for some parabolic equations, Journal of Computational and Applied Mathematics 90, 25-44 (1998)
  13. I. Coulibaly and C. Lécot, A quasi-randomized Runge-Kutta method, Mathematics of Computation 68, 651-659 (1999)
  14. C. Lécot and F.E. Khettabi, Quasi-Monte Carlo simulation of diffusion, Journal of Complexity 15, 342-359 (1999)
  15. A. Girard, C. Pernot, G. Melin, and C. Lécot, Modeling of electron-cyclotron-resonance-heated plasmas, Physical Review E 62, 1182-1189 (2000)
  16. C. Lécot, Quasi-randomized numerical methods for systems with coefficients of bounded variation, Mathematics and Computers in Simulation 55, 113-121 (2001)
  17. C. Lécot and W.C. Schmid, Particle approximation of convection-diffusion equations, Mathematics and Computers in Simulation 55, 123-130 (2001)
  18. C. Lécot and A. Koudiraty, Quasi-random simulation of linear kinetic equations, Journal of Complexity 17, 795-814 (2001)
  19. A. Girard, K. Serebrennikov, G. Melin, R. Vallcorba, and C. Lécot, The role of computational physics in the design of E.C.R.I.S., Review of Scientific Instruments 73, 1145-1148 (2002)
  20. S. Ogawa and C. Lécot, A quasi-random walk method for one-dimensional reaction-diffusion equations, Mathematics and Computers in Simulation 62, 487-494 (2003)
  21. A. Girard, C. Lécot, and K. Serebrennikov, Numerical simulation of the plasma of an electron cyclotron resonance ion source, Journal of Computational Physics 191, 228-248 (2003)
  22. C. Lécot and W. Wagner, A quasi-Monte Carlo scheme for Smoluchowski's coagulation equation, Mathematics of Computation 73, 1953-1966 (2004)
  23. C. Lécot and B. Tuffin, Comparison of quasi-Monte Carlo-based methods for the simulation of Markov chains, Monte Carlo Methods and Applications 10, 377-384 (2004)
  24. A. Girard, D. Hitz, G. Melin, K. Serebrennikov, and C. Lécot, Self-consistent modeling of electron cyclotron resonance ion sources, Review of Scientific Instruments 75, 1463-1466 (2004)
  25. C. Lécot and A. Tarhini, A quasi-stochastic simulation of the general dynamics equation for aerosols, Monte Carlo Methods and Applications 13, 369-388 (2007)
  26. P. L'Ecuyer, C. Lécot, and B. Tuffin, A randomized quasi-Monte Carlo simulation method for Markov chains, Operations Research 56, 958-975 (2008)
  27. R. El Haddad, C. Lécot, P. L'Ecuyer, and N. Nassif, Quasi-Monte Carlo methods for Markov chains with continuous multi-dimensional state space, Mathematics and Computers in Simulation 81, 560-567 (2010)
  28. R. El Haddad, C. Lécot, and G. Venkiteswaran, Diffusion in a nonhomogeneous medium: quasi-random walk on a lattice, Monte Carlo Methods and Applications 16, 211-230 (2010)
  29. M. Tembely, C. Lécot, and A. Soucemarianadin, Prediction and evolution of drop-size distribution for a new ultrasonic atomizer, Applied Thermal Engineering 31, 656-667 (2011)


Compte-rendus de conférences 

  1. C. Lécot, Spatial convergence properties of some characteristic methods for the S_N equations in x,y geometry, Advances in Reactor Computations (Salt Lake City, États-Unis d'Amérique, 1983), American Nuclear Society, La Grange Park, pp. 166-177 (1983)
  2. C. Lécot, Une application de la théorie des nombres à l'analyse numérique, Compte-rendus du Colloque de Théorie des Nombres, Alger, Algérie, 21-23 Octobre 1989, G. Robin et M. Zitouni eds., pp. 49-56 (1989)
  3. C. Lécot and I. Coulibaly, Quasi-Monte Carlo methods for kinetic equations, Proceedings of the Fifth International Colloquium on Numerical Analysis (Plovdiv, Bulgarie, 13-17 Août 1996), E. Minchev ed., Academic Publications, pp. 77-86 (1996)
  4. A. Girard, C. Perret, C. Lécot, F. Bourg, H. Khodja, and G. Melin, Theoretical and experimental study of the electron distribution function in the plasma of an Electron Cyclotron Resonance ion source, Proceedings of the 1996 International Conference on Plasma Physics (Nagoya, Japon, 1996), The Japan Society of Plasma Science and Nuclear Fusion Research, Nagoya, pp. 462-465 (1997)
  5. F.E. Khettabi and C. Lécot, Characteristic methods for discretizing the two-dimensional transport equation on an unstructured grid of triangular cells, Proceedings of the International Conference on Mathematical Methods and Supercomputing for Nuclear Applications (Saratoga Springs, États-Unis d'Amérique, 1997), American Nuclear Society, La Grange Park, pp. 975-984 (1997)
  6. A. Girard, C. Perret, C. Lécot, and G. Melin, Simulation of an E.C.R. plasma, Proceedings of the 13th International Workshop on E.C.R. Ion Sources (Texas A&M University, College Station, États-Unis d'Amérique, 26-28 Février 1997), D.P. May and J.E. Ramirez eds., pp. 47-51 (1997)
  7. C. Perret, A. Girard, and C. Lécot, Theoretical determination of the electron distribution function in an E.C.R. ion source, Proceedings of the 23th International Conference on Phenomena in Ionized Gases (Toulouse, 17-22 Juillet 1997), pp. II-256-II-257 (1997)
  8. I. Coulibaly and C. Lécot, Monte Carlo and quasi-Monte Carlo algorithms for a linear integro-differential equation, Monte Carlo and Quasi-Monte Carlo Methods 1996 (H. Niederreiter, P. Hellekalek, G. Larcher, and P. Zinterhof eds.), Lecture Notes in Statistics, vol. 127, Springer, New York, pp. 176-188 (1998)
  9. C. Lécot, I. Coulibaly, and F.E. Khettabi, A quasirandom walk method for advection-diffusion problems, Recent Advances in Numerical Methods and Applications II (O.P. Iliev, M.S. Kaschiev, S.D. Margenov, Bl.H. Sendov, and P.S. Vassilevski eds.), World Scientific, Singapore, pp. 275-283 (1999)
  10. C. Lécot and F.E. Khettabi, A quasi-Monte Carlo simulation of the Boltzmann equation, Rarefied Gas Dynamics (R. Brun, R. Campargue, R. Gatignol, and J.-C. Lengrand, eds.), Cépaduès Editions, Toulouse, vol. 2, pp. 149-156 (1999)
  11. C. Lécot and A. Koudiraty, Grid-free simulation of convection-diffusion, Monte Carlo and Quasi-Monte Carlo Methods 1998 (H. Niederreiter and J. Spanier, eds.), Springer, Berlin, pp. 311-325 (2000)
  12. A. Girard, C. Lécot, C. Pernot, G. Douysset, and G. Melin, E.C.R. plasmas and E.C.R. ion sources, Proceedings of the 27th European Physical Society Conference on Controlled Fusion and Plasma Physics, K.F.K.I.-Research Institute for Particles and Nuclear Physics, (Budapest, Hongrie, 12-16 Juin 2000), K. Szegö, T.N. Todd and S. Zoletnik eds., p. 440 (2000)
  13. A. Girard, K. Serebrennikov, and C. Lécot, The role of the frequency in E.C.R. ion sources, Proceedings of the Workshop on the Production of Intense Beams of Highly Charged Ions, (Istituto Nazionale di Fisica Nucleare, Catania, Italie, 24-27 Septembre 2000), Societa Italiana di Fisica, Editrice Compositori, Bologna, S. Gammino and G. Ciavola eds., pp. 141-146 (2000)
  14. C. Lécot, Quasi-random walk methods, Proceedings of the 5th Workshop on Stochastic Numerics, (Research Institute for Mathematical Sciences, Kyoto University, Japon, 16-19 Juillet 2001), S. Ogawa ed., pp. 103-113 (2001)
  15. C. Lécot and S. Ogawa, Quasirandom walk methods, Monte Carlo and Quasi-Monte Carlo Methods 2000 (K.-T. Fang, F.J. Hickernell and H. Niederreiter, eds.), Springer, Berlin, pp. 63-85 (2002)
  16. A. Girard, K. Serebrennikov, C. Lécot, G. Melin, D. Hitz, and L. Sun, E.C.R.I.S. modelling, Proceedings of the 15th International Workshop on E.C.R. Ion Sources, (University of Jyväskylä, Finlande, 12-14 Juin 2002), J. Ärje, H. Koivisto and P. Suominen eds., pp. 192-195 (2002)
  17. C. Lécot and B. Tuffin, Quasi-Monte Carlo methods for estimating transient measures of discrete time Markov chains, Monte Carlo and Quasi-Monte Carlo Methods 2002 (H. Niederreiter, ed.), Springer, Berlin, pp. 329-344 (2004)
  18. P. L'Ecuyer, C. Lécot, and B. Tuffin, Randomized quasi-Monte Carlo simulation of Markov chains with an ordered state space, Monte Carlo and Quasi-Monte Carlo Methods 2004 (H. Niederreiter and D. Talay, eds.), Springer, Berlin, pp. 331-342 (2006)
  19. J. Frassy, C. Lécot, C. Delattre, and A. Soucemarianadin, Modeling of Drops Spreading on Patterned Surfaces, Proceedings of the COMSOL Users Conference (Paris, 7 Novembre 2006), J.-M. Petit and O. Squalli eds., pp. 233-238 (2006)
  20. J. Frassy, C. Lécot, C. Delattre, and A. Soucemarianadin, Droplet evaporation on solid substrates of different wetting behaviour, Proceedings of the 3th Microfluidics French Conference (Toulouse, 12-14 Décembre 2006), Microfluidics 2006, CD-Rom Conference Proceedings (2006)
  21. R. El Haddad, C. Lécot, and P. L'Ecuyer, Quasi-Monte Carlo simulation of discrete-time Markov chains on multidimensional state spaces, Monte Carlo and Quasi-Monte Carlo Methods 2006 (S. Heinrich, A. Keller and H. Niederreiter, eds.), Springer, Berlin, pp. 413-429 (2007)
  22. J. Frassy, C. Lécot, M. Murariu, C. Delattre, and A. Soucemarianadin, Transient spreading of films on heterogeneous surfaces, Proceedings of the European COMSOL Conference (Grenoble, 23-24 Octobre 2007), J.-M. Petit and O. Squalli eds., vol. 2, pp. 526-530 (2007)
  23. J. Frassy, C. Lécot, M. Murariu, C. Delattre, and A. Soucemarianadin, Modeling of drop spreading on random surfaces, Proceedings of the European COMSOL Conference (Grenoble, 23-24 Octobre 2007), J.-M. Petit and O. Squalli eds., vol. 2, pp. 950-954 (2007)
  24. J. Frassy, C. Lécot, and A. Soucemarianadin, Transient evaporation of drops on an heterogeneous surface, Continuum Models and Discrete Systems CMDS 11 (D. Jeulin and S. Forest eds.), Presses de l'École des Mines de Paris, Paris, pp. 71-78 (2008)
  25. M. Tembely, A. Soucemarianadin, and C. Lécot, Generation of a spray on demand using a vibrating micro-channel, First European Conference on Microfluidics, (Bologne, Italie, 10-12 Décembre 2008). CD-Rom Conference Proceedings, SHF (2008)
  26. J. Frassy-Darona, C. Lécot, C. Delattre, and A. Soucemarianadin, Study of droplet impact and spreading on solid substrates of different wetting behaviour, First European Conference on Microfluidics, (Bologne, Italie, 10-12 Décembre 2008). CD-Rom Conference Proceedings, SHF (2008)
  27. M. Tembely, C. Lécot, and A. Soucemarianadin, Theoretical study of a new spray on demand print-head, Proceedings of the World Congress on Engineering, International Conference of Mechanical Engineering (Londres, Royaume-Uni, 2-4 Juillet 2008), S.I. Ao, L. Gelman, D.W.L. Hukins, A. Hunter and A. M. Korsunsky eds., Newswood Limited, vol. II, pp. 1357-1365 (2008)
  28. M. Tembely, C. Lécot, and A. Soucemarianadin, Monte Carlo method for physically-based drop-size distribution evolution, Proceedings of the World Congress on Engineering, International Conference of Applied and Engineering Mathematics (Londres, Royaume-Uni, 1-3 Juillet 2009), S.I. Ao, L. Gelman, D.W.L. Hukins, A. Hunter and A. M. Korsunsky eds., Newswood Limited, vol. II, pp. 1224-1229 (2009)
  29. P. L'Ecuyer, C. Lécot, and A. L'Archevêque-Gaudet, On array-RQMC for Markov chains: mapping alternatives and convergence rates, Monte Carlo and Quasi-Monte Carlo Methods 2008 (P. L'Ecuyer and A. Owen, eds.), Springer, Berlin, pp. 485-500 (2010)
  30. R. El Haddad, C. Lécot, and G. Venkiteswaran, Quasi-Monte Carlo simulation of diffusion in a spatially nonhomogeneous medium, Monte Carlo and Quasi-Monte Carlo Methods 2008 (P. L'Ecuyer and A. Owen, eds.), Springer, Berlin, pp. 339-354 (2010)
  31. M. Tembely, C. Lécot, and A. Soucemarianadin, Monte Carlo method for predicting a physically based drop-size distribution evolution of a spray, American Institute of Physics Conference Proceedings, vol. 1220, A. M. Korsunsky ed., pp. 197-212 (2010) 
  32. M. Tembely, A. Soucemarianadin, and C. Lécot, Physically-based drop size distribution evolution of atomized drops, ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting (Montréal, Canada, 1-5 Août 2010), Volume 1, Symposia – Parts A, B, and C, pp. 1813-1825 (2010)
  33. C. Lécot, M. Tembely, A.  Soucemarianadin, and A. Tarhini, Numerical simulation of the drop size distribution in a spray, Monte Carlo and Quasi-Monte Carlo Methods 2010 (H. Wozniakowski and L. Plaskota, eds.), Springer, Berlin, à paraître


Thèses dirigées


  1. I. Coulibaly, Contributions à l'analyse numérique des méthodes quasi-Monte Carlo, Université Grenoble 1, mathématiques appliquées,  jury : P. Baras, G.-H. Cottet, H. Faure (rapporteur), C. Lécot et I.H. Sloan (rapporteur), soutenue le 3 novembre 1997
  2. C. Perret, Caractérisation de la population électronique dans un plasma de source d'ions à résonance cyclotronique électronique, Université Grenoble 1, physique (co-direction A. Girard), jury : K. Appert (rapporteur), A. Girard, C. Lécot, G. Pelletier, Y. Peysson (rapporteur) et P. Sortais, soutenue le 25 septembre 1998
  3. F. El Khettabi, Méthodes de résolution numérique de l'équation de Boltzmann, Université de Savoie, mathématiques appliquées, jury : H. Faure (rapporteur), I. Ionescu, C. Lécot et R. Sanchez (rapporteur), soutenue le 18 décembre 1998
  4. A. Koudiraty, Analyse numérique de méthodes quasi-Monte Carlo, Université de Savoie, mathématiques appliquées, jury : P. Baras, C. Lécot, S. Ogawa (rapporteur), R. Sanchez et R. Tichy (rapporteur), soutenue le 7 septembre 2001
  5. A. Tarhini, Analyse numérique des méthodes quasi-Monte Carlo appliquées aux modèles d'agglomération, Université de Savoie, mathématiques appliquées (co-direction A. Mneimne), jury : E. Gobet, C. Lécot, S. Maire, M. Mascagni (rapporteur), A. Mneimne, J. Struckmeier (rapporteur) et R. Talhouk, soutenue le 27 juin 2008
  6. R. El Haddad, Méthodes quasi-Monte Carlo de simulation des chaines de Markov, Université de Savoie & Université Saint-Joseph (Liban), mathématiques appliquées (co-tutelle N. Nassif), jury : P. Briand, C. Lécot, C. Lemieux (rapporteur), N. Nassif, H. Niederreiter (rapporteur), G. Pagès et T. Sayah, soutenue le 16 décembre 2008
  7. J. Frassy, E-Drop : Interactions fluide-substrat et optimisation de la forme des gouttes, Université Grenoble 1, mécanique & énergétique (co-direction A. Soucemarianadin), jury : C. Baudet, M. Balabane (rapporteur), C. Delattre, J. Eggers (rapporteur), C. Lécot et A. Soucemarianadin, soutenue le 18 décembre 2008
  8. VIII.M. Tembely, Étude de l'atomisation induite par interaction fluide-structure, Université de Grenoble, mécanique des fluides, énergétique, procédés (co-direction A. Soucemarianadin), jury : G. Brenn (rapporteur), J.-P. Chollet, J. Eggers (rapporteur), M. Keita, C. Lécot, C. Nayoze, A. Soucemarianadin, soutenue le 17 mai 2010


  
 
 
 
 
 
 
 


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