Browsing Bergen Open Research Archive by Author "Lundervold, Alexander"

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    • Lie–Butcher series and geometric numerical integration on manifolds 

      Lundervold, Alexander (Doctoral thesis, 2011-11-04)
      The thesis belongs to the field of “geometric numerical integration” (GNI), whose aim it is to construct and study numerical integration methods for differential equations that preserve some geometric structure of the ...

    • Post-lie algebras and isospectral flows 

      Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Mencattini, Igor; Munthe-Kaas, Hans (Peer reviewed; Journal article, 2015-11-20)
      In this paper we explore the Lie enveloping algebra of a post-Lie algebra derived from a classical R-matrix. An explicit exponential solution of the corresponding Lie bracket flow is presented. It is based on the solution ...