Browsing Bergen Open Research Archive by Author "Laurent, Adrien Ange Andre"

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The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators

Laurent, Adrien Ange Andre; Mclachlan, Robert I.; Munthe-Kaas, Hans Zanna; Verdier, Olivier Philippe Paul (Journal article; Peer reviewed, 2023)

Aromatic B-series were introduced as an extension of standard Butcher-series for the study of volume-preserving integrators. It was proven with their help that the only volume-preserving B-series method is the exact flow ...
A uniformly accurate scheme for the numerical integration of penalized Langevin dynamics

Laurent, Adrien Ange Andre (Journal article; Peer reviewed, 2022)

In molecular dynamics, penalized overdamped Langevin dynamics are used to model the motion of a set of particles that follow constraints up to a parameter ε. The most used schemes for simulating these dynamics are the Euler ...