• Entropy solutions of the compressible Euler equations 

      Svärd, Magnus (Journal article, 2015-05-11)
      We consider the three-dimensional Euler equations of gas dynamics on a bounded periodic domain and a bounded time interval. We prove that Lax-Friedrichs scheme can be used to produce a sequence of solutions with ever finer ...
    • Symmetric spaces and Lie triple systems in numerical analysis of differential equations 

      Munthe-Kaas, Hans; Quispel, Reinout; Zanna, Antonella (Peer reviewed; Journal article, 2014-03)
      A remarkable number of different numerical algorithms can be understood and analyzed using the concepts of symmetric spaces and Lie triple systems, which are well known in differential geometry from the study of spaces of ...