• A Convergent Crank-Nicolson Galerkin Scheme for the Benjamin-Ono Equation 

      Galtung, Sondre Tesdal (Master thesis, 2016)
      In this thesis we prove the convergence of a Crank--Nicolson type Galerkin finite element scheme for the initial value problem associated to the Benjamin--Ono equation. The proof is based on a recent result for a similar ...
    • A Convergent Crank–Nicolson Galerkin Scheme for the Benjamin–Ono Equation 

      Galtung, Sondre Tesdal (Journal article; Peer reviewed, 2018)
      In this paper we prove the convergence of a Crank–Nicolson type Galerkin finite element scheme for the initial value problem associated to the Benjamin–Ono equation. The proof is based on a recent result for a similar ...
    • Competition models for plant stems 

      Bressan, Alberto; Galtung, Sondre Tesdal; Reigstad, Audun; Ridder, Johanna (Peer reviewed; Journal article, 2020)
      The models introduced in this paper describe a uniform distribution of plant stems competing for sunlight. The shape of each stem, and the density of leaves, are designed in order to maximize the captured sunlight, subject ...
    • Convergence Rates of a Fully Discrete Galerkin Scheme for the Benjamin–Ono Equation 

      Galtung, Sondre Tesdal (Chapter, 2018)
      We consider a recently proposed fully discrete Galerkin scheme for the Benjamin–Ono equation which has been found to be locally convergent in finite time for initial data in L 2 (R). By assuming that the initial data is ...