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Anthony Le Cavil
Researcher at Superior National School of Advanced Techniques
Publications - 7
Citations - 72
Anthony Le Cavil is an academic researcher from Superior National School of Advanced Techniques. The author has contributed to research in topics: Partial differential equation & Nonlinear system. The author has an hindex of 5, co-authored 7 publications receiving 55 citations. Previous affiliations of Anthony Le Cavil include Université Paris-Saclay & University of Maine at Augusta.
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Probabilistic representation of a class of non conservative nonlinear Partial Differential Equations
TL;DR: In this article, a new class of nonlinear Stochastic Differential Equations in the sense of McKean, related to non conservative nonlinear Partial Differential equations (PDEs), are introduced.
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Particle system algorithm and chaos propagation related to non-conservative McKean type stochastic differential equations
TL;DR: In this paper, the propagation of chaos in nonlinear Stochastic Differential Equations (SDEs) is discussed and a time-discretized approximation of this particle system is proposed, which is proved to converge to a regularized version of a nonlinear PDE.
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Monte-Carlo algorithms for a forward Feynman–Kac-type representation for semilinear nonconservative partial differential equations
TL;DR: The construction of a probabilistic particle algorithm related to a nonlinear forward Feynman–Kac-type equation, which represents the solution of a nonconservative semilinear parabolic partial differential equation (PDE).
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Forward Feynman-Kac type representation for semilinear nonconservative Partial Differential Equations
TL;DR: In this article, a non-linear forward Feynman-Kac type equation was proposed to represent the solution of a nonconservative semilinear parabolic Partial Differential Equations (PDE).
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Particle system algorithm and chaos propagation related to non-conservative McKean type stochastic differential equations
TL;DR: A time-discretized approximation is considered of an original interacting particle system for which the propagation of chaos is discussed, and a random function is proved to converge to a solution of a regularized version of a nonlinear PDE.