• Algebraic and Topological Properties of Numerical Integrators 

      Bogfjellmo, Geir (Doctoral thesis at NTNU;2015:232, Doctoral thesis, 2015)
    • Algebraic structure of aromatic B-series 

      Bogfjellmo, Geir (Journal article; Peer reviewed, 2019)
      Aromatic B-series are a generalization of B-series. Some of the algebraic structures on B-series can be defined analogically for aromatic B-series. This paper derives combinatorial formulas for the composition and substitution ...
    • Discrete Invariant Variational Problems 

      Bogfjellmo, Geir (Master thesis, 2011)
      This thesis studies variational problems invariant under a Lie group transformation, and invariant discretizations of these. In chapters two and three, a general method for creating symplectic integrators preserving certain ...