• Article  

      Computational study of the dispersively modified Kuramoto-Sivashinsky equation 

      Akrivis, Georgios; Papageorgiou, Demetrios T.; Smyrlis, Yiorgos-Sokratis (2012)
      We analyze and implement fully discrete schemes for periodic initial value problems for a general class of dispersively modified Kuramoto-Sivashinsky equations. Time discretizations are constructed using linearly implicit ...
    • Article  

      Linearly implicit schemes for a class of dispersive-dissipative systems 

      Akrivis, Georgios; Smyrlis, Yiorgos-Sokratis (2011)
      We consider initial value problems for semilinear parabolic equations, which possess a dispersive term, nonlocal in general. This dispersive term is not necessarily dominated by the dissipative term. In our numerical ...