Adrien Busnot Laurent

Chargé de recherche
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Libre accès
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Documents

Domaines de recherche

Analyse numérique [math.NA]

Compétences

Geometric numerical integration Stochastic analysis Multiscale methods

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Publications

Image document

The Lie derivative and Noether's theorem on the aromatic bicomplex for the study of volume-preserving numerical integrators

Adrien Laurent
Journal of Computational Dynamics, 2024, 11 (1), pp.10-22. ⟨10.3934/jcd.2023011⟩
Article dans une revue hal-04347291 v1
Image document

The universal equivariance properties of exotic aromatic B-series

Adrien Laurent , Hans Munthe-Kaas
Foundations of Computational Mathematics, 2023, ⟨10.1007/s10208-024-09668-5⟩
Article dans une revue hal-04349836 v1
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The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators

Adrien Laurent , Robert I. Mclachlan , Hans Z. Munthe-Kaas , Olivier Verdier
Forum of Mathematics, Sigma, 2023, 11, pp.E69. ⟨10.1017/fms.2023.63⟩
Article dans une revue hal-04347717 v1
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A uniformly accurate scheme for the numerical integration of penalized Langevin dynamics

Adrien Laurent
SIAM Journal on Scientific Computing, 2022, 44 (5), pp.A3217-A3243. ⟨10.1137/21M1455188⟩
Article dans une revue hal-04347712 v1
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Order Conditions for Sampling the Invariant Measure of Ergodic Stochastic Differential Equations on Manifolds

Adrien Laurent , Gilles Vilmart
Foundations of Computational Mathematics, 2022, 22, pp.649-695. ⟨10.1007/s10208-021-09495-y⟩
Article dans une revue hal-04347690 v1
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Exotic aromatic B-series for the study of long time integrators for a class of ergodic SDEs

Adrien Laurent , Gilles Vilmart
Mathematics of Computation, 2020, 89 (321), pp.169-202. ⟨10.1090/mcom/3455⟩
Article dans une revue hal-04347647 v1
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Multirevolution Integrators for Differential Equations with Fast Stochastic Oscillations

Adrien Laurent , Gilles Vilmart
SIAM Journal on Scientific Computing, 2020, 42 (1), pp.A115-A139. ⟨10.1137/19M1243075⟩
Article dans une revue hal-04347677 v1

High order integration of stochastic dynamics in Rd, on manifolds, and in the neighbourhood of manifolds

Adrien Laurent
2024 - Workshop on Constrained Dynamics, Stochastic Numerical Methods and the Modeling of Complex Systems, May 2024, Oberwolfach, Germany. ⟨10.14760/OWR-2024-26⟩
Communication dans un congrès hal-04710249 v1