Adrien Busnot Laurent Chargé de recherche

Identifiants chercheurs

IdHAL :

adrien-laurent

ORCID :

0000-0002-4472-2908

arXiv :

laurent_a_1

Publications

Pré-publication, Document de travail (9)

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
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
Aromatic and clumped multi-indices: algebraic structure and Hopf embeddings Zhicheng Zhu,Adrien Busnot Laurent 2026 Pré-publication, Document de travail hal-05575499v1
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
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
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
Butcher series for Hamiltonian Poisson integrators through symplectic groupoids Adrien Busnot Laurent,Oscar Cosserat 2025 Pré-publication, Document de travail hal-05368917v1
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
Control theory and splitting methods Karine Beauchard,Adrien Laurent,Frédéric Marbach 2024 Pré-publication, Document de travail hal-04710226v1

Article dans une revue (7)

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
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
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
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
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
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
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

Communication dans un congrès (1)

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