Revues à comité de lecture
- [25] Ludovic Goudenège, Andrea Molent, et Antonino Zanette.
Moving average options: Machine Learning and Gauss-Hermite quadrature for a double non-Markovian problem.
European Journal of Operational Research, 303(2), December 2022.
doi: 10.1016/j.ejor.2022.03.002
ArXiv: 2108.11141
- [24] Jad Doghman et Ludovic Goudenège
Numerical and convergence analysis of the stochastic Lagrangian averaged Navier-Stokes equations.
Journal of Computational and Applied Mathematics, 414, November 2022.
doi: 10.1016/j.cam.2022.114446
Hal: hal-03406041
ArXiv: 2110.15611
- [23] Hadrien Vroylandt, Ludovic Goudenège, Pierre Monmarché, Fabio Pietrucci, et Benjamin Rotenberg
Likelihood-based non-Markovian models from molecular dynamics.
PNAS, 119(13), March 2022.
doi: 10.1073/pnas.2117586119
Hal: hal-03621742
- [22] Roxane Letournel, Ludovic Goudenège, Rémi Zamansky, Aymeric Vié et Marc Massot
Revisiting the framework for intermittency in Lagrangian stochastic models for turbulent flows: a way to an original and versatile numerical approach
Phys. Rev. E, 104(1), July 2021.
doi: 10.1103/PhysRevE.104.015104
Hal: hal-03177667
- [21] Ludovic Goudenège, Andrea Molent, et Antonino Zanette.
Gaussian Process Regression for Pricing Variable Annuities with Stochastic Volatility and Interest Rate.
Decisions in Economics and Finance, 44:57-72, June 2020.
doi: 10.1007/s10203-020-00287-7
ArXiv: 1903.00369
- [20] Ludovic Goudenège et Bin Xie.
Ergodicity of stochastic Cahn-Hilliard equations with logarithmic potentials driven by degenerate or nondegenerate noises.
Journal of Differential Equations, 269(9):6988--7014, October 2020.
doi: 10.1016/j.jde.2020.04.047
- [19] Ludovic Goudenège, Andrea Molent, et Antonino Zanette.
Machine learning for pricing American options in high-dimensional Markovian and non-Markovian models.
Quantitative Finance, 20(4):571-593, 2020
doi: 10.1080/14697688.2019.1701698
ArXiv: 1905.09474
- [18] Charles-Edouard Bréhier et Ludovic Goudenège.
Weak convergence rates of splitting schemes for the stochastic Allen-Cahn equation.
Bit Numerical Mathematics, 60:543--582, September 2020.
doi: 10.1007/s10543-019-00788-x
ArXiv: 1804.04061
- [17] Luigi Manca et Ludovic Goudenège.
Stochastic phase field $\alpha$-Navier-Stokes vesicle-fluid interaction model.
Journal of Mathematical Analysis and Applications, 496(1), April 2021.
doi: 10.1016/j.jmaa.2020.124805
ArXiv: 1901.01335
- [16] Ludovic Goudenège, Andrea Molent, et Antonino Zanette.
Computing Credit Valuation Adjustment solving coupled PIDEs in the Bates model.
Computational Management Science, 17:163--178, June 2020.
doi: 10.1007/s10287-020-00365-6
ArXiv: 1809.05328
- [15] Charles-Edouard Bréhier et Ludovic Goudenège.
Analysis of some splitting schemes for the stochastic Allen-Cahn equation.
Discrete & Continuous Dynamical Systems - B, 24(8):4169-4190, August 2019.
doi: 10.3934/dcdsb.2019077
ArXiv: 1801.06455
- [14] Ludovic Goudenège, Adam Larat, Julie Llobell, Marc Massot, David Mercier, Olivier Thomine et Aymeric Vié.
Statistical and probabilistic modeling of a cloud of particles coupled with a turbulent fluid.
ESAIM ProcS, 65 (2019) 401-424. CEMRACS Proceedings.
doi: 10.1051/proc/201965401
ArXiv: 1810.01173
- [13] Ludovic Goudenège, Andrea Molent, et Antonino Zanette.
Pricing and hedging GMWB in the Heston and in the Black-Scholes with stochastic interest rate models.
Computational Management Science, 16:217–248, February 2019.
doi: 10.1007/s10287-018-0304-2
ArXiv: 1602.09078
- [12] Ludovic Goudenège, Andrea Molent, Xiao Wei et Antonino Zanette.
Fourier-cosine method for pricing and hedging insurance derivatives.
Theoretical Economics Letters, 8(3):282-291, February 2018.
doi: 10.4236/tel.2018.83020
- [11] Ludovic Goudenège, Robert Eymard, Christiane Cocozza-Thivent, et Michel Roussignol.
Numerical methods for piecewise deterministic Markov processes with boundary.
IMAJNA, 37(1):170-208, 2017.
doi: 10.1093/imanum/drv069
- [10] Ludovic Goudenège, Andrea Molent, et Antonino Zanette.
Variable Annuities: New Solution to Long-Term Investment Problem.
Journal Global Policy and Governance, 5(2):35-49, December 2016.
doi: 10.14666/2194-7759-5-2-003
- [9] Charles-Edouard Bréhier, Maxime Gazeau, Ludovic Goudenège, Mathias Rousset, et Tony Lelièvre.
Unbiasedness of some generalized Adaptive Multilevel Splitting algorithms.
Annals of Applied Probability, 26(6):3559--3601, 2016.
doi: 10.1214/16-AAP1185
- [8] Ludovic Goudenège, Andrea Molent, et Antonino Zanette.
Pricing and Hedging GLWB in the Heston and in the Black-Scholes with Stochastic Interest Rate Models.
Insurance : Mathematics and Economics, 70:38–57, September 2016.
doi: 10.1016/j.insmatheco.2016.05.018
ArXiv: 1509.02686
- [7] Ludovic Goudenège et Pierre-André Zitt.
A Wright-Fisher model with indirect selection.
Journal of Mathematical Biology, 71(6) :1411–1450, December 2015.
doi: 10.1007/s00285-015-0859-2
ArXiv: 1401.4040
- [6] Luigi Manca et Ludovic Goudenège.
Asymptotic properties of stochastic Cahn-Hilliard equation with singular nonlinearity and degenerate noise.
Stochastic Processes and their Applications, 125(10):3785-3800, October 2015.
doi: 10.1016/j.spa.2015.05.006
ArXiv: 1412.2642
- [5] Ludovic Goudenège.
Numerical methods for piecewise deterministic Markov processes with boundary.
ESAIM : ProcS, 45 :338–348, September 2014.
doi: 10.1051/proc/201445035
ArXiv: 1810.10215
- [4] Ludovic Goudenège, Aymeric Kalife, et Saad Mouti.
Managing gap risks in iCPPI for life insurance companies : a risk/return/cost analysis.
Insurance Markets and Companies: Analyses and Actuarial Computations, 5(2), 2014.
doi: link to website of IMC
- [3] Ludovic Goudenège, Daniel Martin, et Grégory Vial.
High order finite element calculations for the Cahn-Hilliard equation.
Journal of Scientific Computing, 52(2):294–321, 2012.
doi: 10.1007/s10915-011-9546-7
ArXiv: 1003.1077
- [2] Arnaud Debussche et Ludovic Goudenège.
Stochastic Cahn-Hilliard equation with double singular nonlinearities and two reflections.
SIAM Journal on Mathematical Analysis, 43(3):1473–1494, 2011.
doi: 10.1137/090769636
ArXiv: 0908.4295
- [1] Ludovic Goudenège.
Stochastic Cahn-Hilliard equation with singular nonlinearity and reflection.
Stochastic Processes and their Applications, 119(10) :3516–3548, 2009.
doi: 10.1016/j.spa.2009.06.008
ArXiv: 0811.0580
Communications, symposium, proceedings.
- [3] Charles-Edouard Bréhier, Ludovic Goudenège, et Loïc Tudela.
Central Limit Theorem for Adaptive Multilevel Splitting Estimators in an Idealized Setting.
Monte Carlo and Quasi-Monte Carlo Methods. Springer Proceedings in Mathematics & Statistics, 2014.
doi: 10.1007/978-3-319-33507-0_10
ArXiv: 1501.01399
- [2] Charles-Edouard Bréhier, Maxime Gazeau, Ludovic Goudenège, et Mathias Rousset.
Analysis and simulation of rare events for SPDE.
ESAIM Proceedings, CEMRACS, January 2014.
doi: 10.1051/proc/201448017
ArXiv: 1401.1380
- [1] Ludovic Goudenège, Robert Eymard, Christiane Cocozza-Thivent, et Michel Roussignol.
Numerical methods for piecewise deterministic Markov processes with boundary.
ESAIM Proceedings, SMAI, 2013.
doi: 10.1051/proc/201445035
ArXiv: 1810.10215
Livres et ouvrages
- [9-BOOK] Mounir Bellmane, Ludovic Goudenège, Aymeric Kalife, Saad Mouti et Xiaolu Tan.
Sustainable Life Insurance: Managing Risk Appetite for Insurance Savings and Retirement Products.
Chapman and Hall/CRC. ISBN 9781003218371. 392 pages.
lien vers site éditeur
- [8-CHAP] Ludovic Goudenège, Andrea Molent et Antonino Zanette.
Variance Reduction Applied to Machine Learning for Pricing Bermudan/American Options in High Dimension.
Chapitre d'ouvrage. Applications of Lévy Processes, Nova Science Publishers, 2021, 978-1-53619-525-5.
- [7-HDR] Ludovic Goudenège.
Algorithmes numériques pour des problèmes stochastiques.
Habilitation à Diriger des Recherches, Diplôme de l'Université Paris-Sud - Université Paris-Saclay, December 2018.
lien vers pdf
- [6-POLY] Ludovic Goudenège et Adam Larat.
Partial and Stochastic Differential Equations: Theoretical and Numerical Aspects.
lien vers pdf
Cours donné à l'IHES, 2014.
- [5-CHAP] Christiane Cocozza-Thivent et Ludovic Goudenège. (Chapitre numérique de la version anglaise)
Processus de renouvellement markovien ; Processus de Markov déterministes par morceaux.
Version anglaise publiée chez Springer.
Part of the Probability Theory and Stochastic Modelling book series (PTSM, volume 100).
Version française disponible sur internet.
- [4-POLY] Ludovic Goudenège
Méthodes numériques et produits structurés en actuariat.
Polycopié de cours de l'université Paris-Est - Marne-la-Vallée, 2018.
- [3-POLY] Ludovic Goudenège.
Introduction aux équations différentielles stochastiques et équations aux dérivées partielles stochastiques.
Polycopié de cours de CentraleSupélec, 2016.
- [2-POLY] Ludovic Goudenège, Mathieu Leroy-Lerêtre, et Grégory Vial.
TP d’initiation à LaTeX.
lien vers pdf
École Normale Supérieure de Cachan - Antenne de Bretagne, March 2010.
- [1-PHD] Ludovic Goudenège.
Quelques résultats sur l’équation de Cahn-Hilliard stochastique et déterministe.
Thèse, École Normale Supérieure de Cachan - Antenne de Bretagne, November 2009.
Logiciels
- [3] Bibliothèque C++ de calcul éléments finis XLIFE++, 2012-2016.
- [2] Logiciel PREMIA de l’équipe recherche INRIA MathRisk, 2010-2020.
- [1] Bibliothèque FORTRAN de calcul éléments finis MELINA, 2006-2009.
Préprints
- [Preprint10] Ludovic Goudenège, El Mehdi Haress et Alexandre Richard.
Numerical approximation of the stochastic heat equation with a distributional reaction term.
ArXiv: 2405.08201, 2024.
- [Preprint9] Ludovic Goudenège, et Liviu Iulian Palade.
A New Non-Linear Density Fluctuations Stochastic Partial Differential Equation With a
Singular Coefficient of Relevance to Polymer Dynamics and Rheology.
ArXiv: 2306.0580, 2023. Soumis.
- [Preprint8] Ludovic Goudenège, Andrea Molent, et Antonino Zanette.
Backward Hedging for American Options with Transaction Costs.
ArXiv: 2305.06805, 2023. Soumis. Revision demandée.
- [Preprint7] Ludovic Goudenège, Andrea Molent, et Antonino Zanette.
Computing XVA for American basket derivatives by Machine Learning techniques.
ArXiv: 2209.06485, 2022. Soumis.
- [Preprint6] Ludovic Goudenège, El Mehdi Haress et Alexandre Richard
Numerical approximation of SDEs with fractional noise and distributional drift.
ArXiv: 2302.11455.
Hal: hal-03715427v1, 2023. Soumis.
- [Preprint5] Jad Doghman et Ludovic Goudenège
Convergence of the stochastic Navier-Stokes-alpha solutions toward the stochastic Navier-Stokes solutions.
ArXiv: 2210.02232
Hal: hal-03794814, 2022. Soumis.
- [Preprint4] Ludovic Goudenège et Luigi Manca
alpha-Navier-Stokes perturbed by space-time noise of trace class.
ArXiv: 2005.11482, 2020. Soumis.
Préprints (disponible en version alternative à la version publiée)
- [Preprint3] Ludovic Goudenège, Andrea Molent, et Antonino Zanette.
Machine Learning Tree and Exact Integration for Pricing American Options in High Dimension.
ArXiv: 1905.09474v2, 2019.
Version préliminaire à celle publié dans Quantitative Finance, 2020, 20(4). doi:10.1080/14697688.2019.1701698
- [Preprint2] Ludovic Goudenège, Andrea Molent, et Antonino Zanette.
The Impact of Taxation on GMWB Contract in a Stochastic Interest Rate Framework.
ArXiv: 1901.11296, 2019.
Version préliminaire à celle publiée dans ASTIN Bulletin, 2020, 50(3). doi:10.1017/asb.2020.29.
- [Preprint1] Charles-Edouard Bréhier, Maxime Gazeau, Ludovic Goudenège, Tony Lelièvre et Matthias Rousset.
Unbiasedness of some generalized adaptive multilevel splitting algorithms.
ArXiv: 1505.02674, 2015. Version étendue de la version publiée dans Annals of Applied Probability.
Exportation depuis HaL.