Blar i NTNU Open på forfatter "Koley, Ujjwal"

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    • Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation 

      Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik (Journal article, 2015)
      We prove convergence of a fully discrete finite difference scheme for the Korteweg–de Vries equation. Both the decaying case on the full line and the periodic case are considered. If the initial data u|t=0 = u0 is of high ...

    • Operator splitting for the Benjamin-Ono equation 

      Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik (Journal article; Peer reviewed, 2015)
      In this paper we analyze operator splitting for the Benjamin–Ono equation, ut=uux+Huxx, where H denotes the Hilbert transform. If the initial data are sufficiently regular, we show the convergence of both Godunov and Strang ...