Adrien Busnot Laurent

Chargé de recherche
94 %
Libre accès
17
Documents
Affiliations actuelles
  • Multi-scale numerical geometric schemes (MINGUS)
  • École normale supérieure - Rennes (ENS Rennes)
  • Centre Inria de l'Université de Rennes
  • Université de Rennes (UR)
  • Institut de Recherche Mathématique de Rennes (IRMAR)
Contact

Domaines de recherche

Analyse numérique [math.NA]

Compétences

Geometric numerical integration Stochastic analysis Multiscale methods Differential geometry Combinatorial algebra

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Publications

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Derivation of optimal stochastic Runge-Kutta methods with exotic and decorated Butcher series for the weak integration of stochastic dynamics

Adrien Busnot Laurent , Kristian Debrabant , Anne Kværnø

2026

Pré-publication, Document de travail hal-05575526v1
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The free tracial post-Lie-Rinehart algebra of planar aromatic trees for the design of divergence-free Lie-group methods

Adrien Busnot Laurent , Hans Munthe-Kaas , Venkatesh G. S.

2026

Pré-publication, Document de travail hal-05575534v1
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Aromatic and clumped multi-indices: algebraic structure and Hopf embeddings

Zhicheng Zhu , Adrien Busnot Laurent

2026

Pré-publication, Document de travail hal-05575499v1
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Preconditioning for the high-order sampling of the invariant distribution of parabolic semilinear SPDEs

Charles-Édouard Bréhier , Adrien Busnot Laurent , Arnaud Debussche , Gilles Vilmart

2025

Pré-publication, Document de travail hal-05426627v1
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Post-Hopf algebroids, post-Lie-Rinehart algebras and geometric numerical integration

Adrien Busnot Laurent , Yunnan Li , Yunhe Sheng

2025

Pré-publication, Document de travail hal-05433426v1
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High order integration of stochastic dynamics on Riemannian manifolds with frozen flow methods

Eugen Bronasco , Adrien Busnot Laurent , Baptiste Nicolas Huguet

2025

Pré-publication, Document de travail hal-05368742v2
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Butcher series for Hamiltonian Poisson integrators through symplectic groupoids

Adrien Busnot Laurent , Oscar Cosserat

2025

Pré-publication, Document de travail hal-05368917v1
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Hopf algebra structures for the backward error analysis of ergodic stochastic differential equations

Eugen Bronasco , Adrien Laurent

2024

Pré-publication, Document de travail hal-04710238v1
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Control theory and splitting methods

Karine Beauchard , Adrien Laurent , Frédéric Marbach

2024

Pré-publication, Document de travail hal-04710226v1
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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-04347291v2
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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-04349836v1
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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-04347717v1
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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-04347712v1
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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-04347690v1
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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-04347647v1
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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-04347677v1

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-04710249v1