Blar i NTNU Open på forfatter "Bogfjellmo, Geir"

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    • 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 ...

    • Using aromas to search for preserved measures and integrals in Kahan’s method 

      Bogfjellmo, Geir; Celledoni, Elena; McLachlan, Robert I.; Owren, Brynjulf Rustad; Quispel, Gilles Reinout Willem (Peer reviewed; Journal article, 2023)
      The numerical method of Kahan applied to quadratic differential equations is known to often generate integrable maps in low dimensions and can in more general situations exhibit preserved measures and integrals. Computerized ...