• An exponential time-differencing method for monotonic relaxation systems 

      Aursand, Peder; Evje, Steinar; Flåtten, Tore; Teigen, Knut Erik; Munkejord, Svend Tollak (Journal article; Peer reviewed, 2014)
      We present first and second-order accurate exponential time differencing methods for a special class of stiff ODEs, denoted as monotonic relaxation ODEs. Some desirable accuracy and robustness properties of our methods are ...
    • EPW Cubes 

      Iliev, Atanas; Kapustka, Grzegorz; Kapustka, Michal; Ranestad, Kristian (Journal article; Peer reviewed, 2016-08)
      We construct a new 20-dimensional family of projective six-dimensional irreducible holomorphic symplectic manifolds. The elements of this family are deformation equivalent with the Hilbert scheme of three points on a K3 ...
    • Hyper-Kähler fourfolds and Kummer surfaces 

      Ranestad, Kristian; Kapustka, Michal; Kapustka, Grzegorz; Iliev, Atanas (Journal article; Peer reviewed, 2017-09)
      We show that a Hilbert scheme of conics on a Fano fourfold double cover of PP2xP2 ramified along a divisor of bidegree (2,2) admits a ℙ 1‐fibration with base being a hyper‐Kähler fourfold. We investigate the geometry of ...
    • Hyperkähler fourfolds and Kummer surfaces 

      Ranestad, Kristian; Iliev, Atanas; Kapustka, Grzegorz; Kapustka, Michal Jakub (Journal article; Peer reviewed, 2017-09)
    • Value regions of univalent self-maps with two boundary fixed points 

      Gumenyuk, Pavel; Prokhorov, Dmitri (Journal article; Peer reviewed, 2018)
      In this paper we find the exact value region V(z0,T) of the point evaluation functional f → f(z0) over the class of all holomorphic injective self-maps f : D → D of the unit disk D having a boundary regular fixed point at ...