• 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  

      A Parameter Robust Finite Element Method for Fourth Order Singularly Perturbed Problems 

      Xenophontos, Christos A. (2017)
      We consider fourth order singularly perturbed problems in one-dimension and the approximation of their solution by the h version of the finite element method. In particular, we use piecewise Hermite polynomials of degree ...
    • Article  

      Thin films: Increasing the complexity of the model 

      Sophocleous, Christodoulos; Leach, Peter G. L. (2012)
      Thin films arise in a variety of contexts. They can be between two solid surfaces in the form of a lubricant or with one surface solid and the other free as in water or oil on a road. When the surface tension is a dominant ...