Blar i Bergen Open Research Archive på forfatter "Munthe-Kaas, Hans Zanna"
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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 ... -
Invariant connections, Lie algebra actions, and foundations of numerical integration on manifolds
Munthe-Kaas, Hans Zanna; Stern, Ari; Verdier, Olivier (Journal article; Peer reviewed, 2020)Motivated by numerical integration on manifolds, we relate the algebraic properties of invariant connections to their geometric properties. Using this perspective, we generalize some classical results of Cartan and Nomizu ...