Blar i Fakultet for informasjonsteknologi og elektroteknikk (IE) på tidsskrift "BIT Numerical Mathematics"

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    • Deep neural networks on diffeomorphism groups for optimal shape reparametrization 

      Celledoni, Elena; Glöckner, Helge; Riseth, Jørgen Nilsen; Schmeding, Alexander (Journal article; Peer reviewed, 2023)
      One of the fundamental problems in shape analysis is to align curves or surfaces before computing geodesic distances between their shapes. Finding the optimal reparametrization realizing this alignment is a computationally ...

    • General order conditions for stochastic partitioned Runge–Kutta methods 

      Anmarkrud, Sverre; Debrabant, Kristian; Kværnø, Anne (Journal article; Peer reviewed, 2017)
      In this paper stochastic partitioned Runge–Kutta (SPRK) methods are considered. A general order theory for SPRK methods based on stochastic B-series and multicolored, multishaped rooted trees is developed. The theory is ...

    • Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants 

      Debrabant, Kristian; Kværnø, Anne; Mattson, Nicky Cordua (Peer reviewed; Journal article, 2022)
      In this paper, we consider a class of stochastic midpoint and trapezoidal Lawson schemes for the numerical discretization of highly oscillatory stochastic differen- tial equations. These Lawson schemes incorporate both the ...

    • Numerical conservative solutions of the Hunter–-Saxton equation 

      Grunert, Katrin; Nordli, Anders Samuelsen; Solem, Susanne (Peer reviewed; Journal article, 2021)
      In the article a convergent numerical method for conservative solutions of the Hunter–Saxton equation is derived. The method is based on piecewise linear projections, followed by evolution along characteristics where the ...

    • A numerical study of variational discretizations of the Camassa–Holm equation 

      Galtung, Sondre Tesdal; Grunert, Katrin (Peer reviewed; Journal article, 2021)
      We present two semidiscretizations of the Camassa–Holm equation in periodic domains based on variational formulations and energy conservation. The first is a periodic version of an existing conservative multipeakon method ...