Now showing items 1-6 of 6

  • Floater, Michael S.; Sande, Espen (Journal article / Tidsskriftartikkel / SubmittedVersion, 2019)
  • Floater, Michael S.; Sande, Espen (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2018)
    In this paper we show that, with respect to the L2 norm, three classes of functions in Hr(0,1) , defined by certain boundary conditions, admit optimal spline spaces of all degrees ≥r−1 , and all these spline spaces ...
  • Floater, Michael S.; Sande, Espen (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2017)
    In this paper we derive optimal subspaces for Kolmogorov nn-widths in the L2 norm with respect to sets of functions defined by kernels. This enables us to prove the existence of optimal spline subspaces of arbitrarily high ...
  • Christiansen, Snorre H; Hu, Kaibo; Sande, Espen (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
  • Sande, Espen; Manni, Carla; Speleers, Hendrik (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)
    In this paper, we provide a priori error estimates in standard Sobolev (semi-)norms for approximation in spline spaces of maximal smoothness on arbitrary grids. The error estimates are expressed in terms of a power of the ...
  • Ruf, Adrian Montgomery; Sande, Espen; Solem, Susanne (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)
    In 1994, Nessyahu, Tadmor and Tassa studied convergence rates of monotone finite volume approximations of conservation laws. For compactly supported, Lip+-bounded initial data they showed a first-order convergence rate in ...