Les publications, travaux ou informations ci-après sont classées selon les thèmes suivants :

  1. Livres
  2. Méthodes de Monte carlo
  3. Finance
  4. Modèles multiéchelles pour les fluides polymériques
  5. Simulation moléculaire
  6. Méthodes particulaires pour les EDPs
Livres

J.F. Delmas et B.Jourdain, Modèles aléatoires : applications aux sciences de l'ingénieur et du vivant,
collection Mathématiques et Applications, Vol 57, Springer 2006

B.Jourdain, Probabilités et statistique, Ellipses 2009

Méthodes de Monte Carlo

  • B. Jourdain, B. Lapeyre, P. Sabino Convenient Multiple Directions of Stratification, Preprint HAL-00436327

  • B. Jourdain, Adaptive variance reduction techniques in finance, Advanced Financial Modelling, Radon Series Comp. Appl. Math 8, Ed. by H. Albrecher, W. Runggaldier and W. Schachermayer, de Gruyter, pp. 205-222, 2009.

  • B. Jourdain, J. Lelong, Robust Adaptive Importance Sampling for Normal Random Vectors, Ann. Appl. Probab. 19(5), pp 1687-1718, 2009.

  • P. Etoré, G. Fort, B. Jourdain, E. Moulines, On Adaptive Stratification, accepté dans Annals of Operations Research

  • J.F. Delmas, B. Jourdain, Does waste-recycling really improve Metropolis-Hastings Monte Carlo algorithm?, Journal of Applied Probability 46(4), pp.938-959, 2009.

  • P. Etoré, B. Jourdain, Adaptive optimal allocation in stratified sampling methods, accepté dans Methodology and Computing in Applied Probability

  • B. Jourdain, L. Nguyen, Minimisation de l'entropie relative par méthode de Monte-Carlo, C.R.A.S. Série 1, 332, pp.345-350, 2001
    Finance

  • B. Jourdain, M. Vellekoop, Regularity of the Exercise Boundary for American Put Options on Assets with Discrete Dividends, Preprint HAL-00436327

  • B. Jourdain, M. Sbai, High order discretization schemes for stochastic volatility models, Preprint arXiv 0908-1926

  • B. Jourdain, M. Sbai, Coupling Index and Stocks, accepté dans Quantitative Finance

  • A. Alfonsi, B. Jourdain, A Call-Put Duality for Perpetual American Options, Nonlinear Differential Equations and Applications 16, pp 523-554, 2009.

  • B. Jourdain, A. Zanette, A Moments and Strike Matching Binomial Algorithm for Pricing American Put Options, Decisions in Economics and Finance 31, pp 33-49, 2008.

  • A. Alfonsi, B. Jourdain, General Duality for Perpetual American Options, International Journal of Theoretical and Applied Finance, 11(6), pp. 545-566, 2008.

  • B. Jourdain, M. Sbai, Exact retrospective Monte Carlo computation of arithmetic average Asian options, Monte Carlo Methods and Applications 13(2), pp 135-171, 2007. Erratum in Monte Carlo Methods Appl. 16(2), pp 191-193, 2010.

  • B. Jourdain, Stochastic flows approach to Dupire's formula, Finance and Stochastics 11(4), pp 521-535, 2007.

  • B. Jourdain, Loss of martingality in asset price models with lognormal stochastic volatility, Preprint CERMICS 2004-267 : results previously obtained by C.A. Sin, Complications with stochastic volatility models, Adv. in Appl. Probab. 30 (1998), no. 1, 56--268.

  • B. Jourdain, C. Martini, Approximation of American Put Prices by European Prices via an Embedding Method,
    Annals of Applied Probability, 12(1), pp.196-223, 2002

  • B. Jourdain, C. Martini, American prices embedded in European prices,
    Ann. Inst. Henri Poincaré Anal. nonlinear, 2001, 18(1), pp.1-17
    Modèles multiéchelles pour les fluides polymériques

  • M. Ben Alaya, B. Jourdain, Probabilistic approximation of a nonlinear parabolic equation occuring in rheology, J. Appl. Probab. 44(2), pp 528-546, 2007

  • B. Jourdain, C. Le Bris, T. Lelièvre, F. Otto, Long-time asymptotics of a multiscale model for polymeric fluid flows, Arch. Rational Mech. Anal., 181, pp 97-148, 2006

  • B. Jourdain, C. Le Bris, T. Lelièvre, Coupling PDEs and SDEs: the Illustrative Example of the Multiscale Simulation of Viscoelastic Flows, in Multiscale Methods in Science and Engineering, B. Engquist, P. Lötstedt, O. Runborg, eds., Lecture Notes in Computational Science and Engineering 44, Springer, 2005, pp 151-170.

  • B. Jourdain, C. Le Bris, T. Lelièvre, An elementary argument regarding the long-time behaviour of the solution to a stochastic differential equation, Annals of Craiova University, Mathematics and Computer Science series, volume 32, pp 39-47, 2005

  • B. Jourdain, T. Lelièvre, Convergence of a stochastic particle approximation of the stress tensor for the FENE-P model, Preprint CERMICS 2004-263

  • B. Jourdain, T. Lelièvre, C. Le Bris, On a variance reduction technique for the micro-macro simulations of polymeric fluids, J. Non-Newtonian Fluid Mech., 122, pp 91-106, 2004

  • B. Jourdain, T. Lelièvre, C. Le Bris Existence of solution for a micro-macro model of polymeric fluid : the FENE model, Journal of Functional Analysis, 209(1), pp 162-193, 2004

  • B. Jourdain, T. Lelièvre, Mathematical analysis of a stochastic differential equation arising in the micro-macro modelling of polymeric fluids, Probabilistic Methods in Fluids : Proceedings of the Swansea 2002 Workshop, pp 205-223, World Scientific, 2003

  • B. Jourdain, T. Lelièvre, C. Le Bris, Numerical analysis of micro-macro simulations of polymeric fluid flows : a simple case,
    Mathematical Models and Methods in Applied Sciences 12(9),pp.1205-1243, 2002

    Simulation moléculaire

  • B. Jourdain, T. Lelièvre, R. Roux, Existence, uniqueness and convergence of a particle approximation for the Adaptive Biasing Force process, accepté dans ESAIM: M2AN

  • M. El Makrini, B. Jourdain, T. Lelièvre, Diffusion Monte Carlo method: Numerical analysis in a simple case, ESAIM: M2AN 41(2), pp 189-213, 2007

  • E.Cancès, B. Jourdain, T. Lelièvre, Quantum Monte Carlo simulations of fermions. A mathematical analysis of the fixed-node approximation, M3AS, 16(9), pp 1403-1449, 2006
    Méthodes particulaires pour les EDPs

  • B. Jourdain, R. Roux, Convergence of a stochastic particle approximation for fractional scalar conservation laws, Preprint HAL 00493773

  • B. Jourdain, F. Malrieu, Propagation of chaos and Poincaré inequalities for a system of particles interacting through their cdf, Ann. Appl. Probab. 18(5), pp 1706-1736, 2008.

  • B. Jourdain, S. Méléard, W. Woyczynski, Nonlinear SDEs driven by Lévy processes and related PDEs, Alea 4, pp 1-29, 2008.

  • B. Jourdain, Probabilistic Interpretation via Spatial Derivation of Some Nonlinear Parabolic Evolution Equations, Monte Carlo and Quasi-Monte Carlo Methods 2004, H. Niederreiter and D. Talay (Eds.), Springer-Verlag 2006, pp 197-216

  • B. Jourdain, S. Méléard, W.A. Woyczynski, Probabilistic approximation and inviscid limits for 1-D fractional conservation laws, Bernoulli, 11(4), pp 689-714, 2005

  • B. Jourdain, S. Méléard, W.A. Woyczynski, A probabilistic approach for nonlinear equations involving the fractional Laplacian and a singular operator, Potential Analysis, 23(1), pp 55-81, 2005.

  • B. Jourdain, Uniqueness via probabilistic interpretation for the discrete coagulation fragmentation equation, Communications in Mathematical Sciences, Supplemental issue 1, pp 75-83, 2004

  • B. Jourdain, S. Méléard, Probabilistic interpretation and particle method for vortex equations with Neumann's boundary condition, Proceedings of the Edinburgh mathematical society, 47(3), pp 597-624, 2004

  • E. Debry, B. Sportisse, B. Jourdain, A stochastic approach for the numerical simulation of the general dynamics equation for aerosols,
    Journal of Computational Physics, 184, pp 649-669, 2003

  • B. Jourdain, Nonlinear processes associated with the discrete Smoluchowski coagulation fragmentation equation,
    Markov Processes and Related Fields, 9, pp. 103-130, 2003

  • B. Jourdain, Particules collantes signées et lois de conservation scalaires 1D,
    C.R.A.S. Série 1, 334, pp.233-238, 2002

  • M. Bossy, B. Jourdain, Rate of convergence of a particle method for the solution of a 1D viscous scalar conservation law in a bounded interval,
    Annals of Probability, 30(4), pp.1797-1832, 2002

  • B. Jourdain, Probabilistic characteristics method for a 1D scalar conservation law,
    Annals of Applied Probability, 12(1), pp.334-360, 2002

  • E. Debry, B.Jourdain, B. Sportisse, Modeling aerosol dynamics : a stochastic algorithm,
    APMS 2001, Springer Geosciences 2002, pp. 308-319.

  • M. Bossy, B. Jourdain, A particle method for the solution of a 1D viscous scalar conservation law in a bounded interval ,
    Proceedings of the International Conference on Monte Carlo and Probabilistic Methods for Partial Differential Equations, Monaco 3-5 juillet 2000, Monte Carlo Methods and Applications, 2001, 7(1-2), pp. 45-53

  • B. Jourdain, Probabilistic gradient approximation for a multidimensional viscous scalar conservation law ,
    Stochastics and Stochastics Reports, 2001, 71, pp.243-268

  • B. Jourdain, Probabilistic approximation for a porous medium equation,
    Stochastic Processes and their Applications, 2000, 89(1), pp.81-99

  • B. Jourdain, Diffusion Processes Associated with Nonlinear Evolution Equations for Signed Measures,
    Methodology and Computing in Applied Probability, 2000, 2(1), pp. 69-91

  • B. Jourdain, S. Méléard, Propagation of chaos and fluctuations for a moderate model with smooth initial data,
    Ann. I.H.P. Proba. Stat., 1998, 34/6, p.727-766

  • B. Jourdain, Propagation du chaos trajectorielle pour les lois de conservation scalaire,
    Séminaire de Probabilités XXXII, pp.215-230, Lecture Notes in Mathematics 1686, Springer-Verlag 1998

  • B. Jourdain, Convergence of moderately interacting particle systems to a diffusion-convection equation,
    Stochastic Processes and their Applications, 1998, 73(2), pp.247-270

  • B. Jourdain, Diffusions avec un coefficient de dérive non linéaire et irrégulier et interprétation probabiliste d'équations de type Burgers,
    ESAIM : P&S, novembre 1997, vol 1, pp.339-355
    Habilitation à diriger des recherches

    Interprétation probabiliste d'équations d'évolution non linéaires et applications.

    soutenue le 20 mars 2002