Search Results - "Goudenège, Ludovic"
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Numerical and convergence analysis of the stochastic Lagrangian averaged Navier–Stokes equations
Published in Journal of computational and applied mathematics (01-11-2022)“…The primary emphasis of this work is the development of a finite element based space–time discretization for solving the stochastic Lagrangian averaged…”
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2
Likelihood-based non-Markovian models from molecular dynamics
Published in Proceedings of the National Academy of Sciences - PNAS (29-03-2022)“…SignificanceThe analysis of complex systems with many degrees of freedom generally involves the definition of low-dimensional collective variables more…”
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Stochastic phase field α-Navier-Stokes vesicle-fluid interaction model
Published in Journal of mathematical analysis and applications (01-04-2021)“…We consider a stochastic perturbation of the phase field alpha-Navier-Stokes model with vesicle-fluid interaction. It consists in a system of nonlinear…”
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4
Moving average options: Machine learning and Gauss-Hermite quadrature for a double non-Markovian problem
Published in European journal of operational research (01-12-2022)“…Evaluating moving average options is a tough computational challenge for the energy and commodity mar-ket as the payo˙ of the option depends on the prices of a…”
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Machine learning for pricing American options in high-dimensional Markovian and non-Markovian models
Published in Quantitative finance (02-04-2020)“…In this paper we propose two efficient techniques which allow one to compute the price of American basket options. In particular, we consider a basket of…”
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6
Weak convergence rates of splitting schemes for the stochastic Allen–Cahn equation
Published in BIT (01-09-2020)“…This article is devoted to the analysis of the weak rates of convergence of schemes introduced by the authors in a recent work, for the temporal discretization…”
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7
Backward hedging for American options with transaction costs
Published in Decisions in economics and finance (06-08-2024)Get full text
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8
Stochastic Cahn–Hilliard equation with singular nonlinearity and reflection
Published in Stochastic processes and their applications (01-10-2009)“…We consider a stochastic partial differential equation with logarithmic (or negative power) nonlinearity, with one reflection at 0 and with a constraint of…”
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9
Asymptotic properties of stochastic Cahn–Hilliard equation with singular nonlinearity and degenerate noise
Published in Stochastic processes and their applications (01-10-2015)“…We consider a stochastic partial differential equation with a logarithmic nonlinearity with singularities at 1 and −1 and a constraint of conservation of the…”
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10
Computing credit valuation adjustment solving coupled PIDEs in the Bates model
Published in Computational management science (01-06-2020)“…Credit Value Adjustment is the charge applied by financial institutions to the counter-party to cover the risk of losses on a counterpart default event. In…”
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11
Gaussian process regression for pricing variable annuities with stochastic volatility and interest rate
Published in Decisions in economics and finance (01-06-2021)“…In this paper, we investigate value and Greeks computation of a guaranteed minimum withdrawal benefit (GMWB) variable annuity, when both stochastic volatility…”
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Pricing and hedging GMWB in the Heston and in the Black–Scholes with stochastic interest rate models
Published in Computational management science (01-02-2019)“…In this paper, we approach the problem of valuing a particular type of variable annuity called GMWB when advanced stochastic models are considered. As remarked…”
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13
UNBIASEDNESS OF SOME GENERALIZED ADAPTIVE MULTILEVEL SPLITTING ALGORITHMS
Published in The Annals of applied probability (01-12-2016)“…We introduce a generalization of the Adaptive Multilevel Splitting algorithm in the discrete time dynamic setting, namely when it is applied to sample rare…”
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14
Pricing and hedging GLWB in the Heston and in the Black–Scholes with stochastic interest rate models
Published in Insurance, mathematics & economics (01-09-2016)“…Valuing Guaranteed Lifelong Withdrawal Benefit (GLWB) has attracted significant attention from both the academic field and real world financial markets. As…”
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15
A Wright–Fisher model with indirect selection
Published in Journal of mathematical biology (01-12-2015)“…We study a generalization of the Wright–Fisher model in which some individuals adopt a behavior that is harmful to others without any direct advantage for…”
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16
Numerical methods for piecewise deterministic Markov processes with boundary
Published in IMA journal of numerical analysis (01-01-2017)“…We study the approximation of the distribution of Piecewise Deterministic Markov Processes jumping when the process reaches some boundary of the domain. We…”
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17
High Order Finite Element Calculations for the Cahn-Hilliard Equation
Published in Journal of scientific computing (01-08-2012)“…In this work, we propose a numerical method based on high degree continuous nodal elements for the Cahn-Hilliard evolution. The use of the p -version of the…”
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18
Numerical methods for piecewise deterministic Markov processes with boundary
Published in ESAIM. Proceedings and surveys (01-09-2014)“…In this paper is described the general aspect of a numerical method for piecewise deterministic Markov processes with boundary. Under very natural hypotheses,…”
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19
Statistical and probabilistic modeling of a cloud of particles coupled with a turbulent fluid
Published in ESAIM. Proceedings and surveys (01-01-2019)“…This paper exposes a novel exploratory formalism, the end goal of which is the numerical simulation of the dynamics of a cloud of particles weakly or strongly…”
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20
Computing XVA for American basket derivatives by Machine Learning techniques
Published 14-09-2022“…Total value adjustment (XVA) is the change in value to be added to the price of a derivative to account for the bilateral default risk and the funding costs…”
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