• Article  

      Differential invariants for quasi-linear and semi-linear wave-type equations 

      Sophocleous, Christodoulos; Tracinà, Rita (2008)
      In this paper, we consider the class of wave-type equations utt = f (x, t, u) uxx + g (x, t, u, ux, ut) and two special cases of it. We derive the equivalence transformations for these equations and using these transformations, ...
    • Conference Object  

      Note on the distribution of extreme wave crests 

      Baxevani, Anastassia; Hagberg, O.; Rychlik, I. (2005)
      The sea elevation at a fixed point is modelled by means of a second order model, which is a smooth algebraic function of a vector valued Gaussian process. Asymptotic methods, presented first in [1], are used to estimate ...
    • Article  

      The plane waves method for axisymmetric Helmholtz problems 

      Karageorghis, Andreas (2016)
      The plane waves method is employed for the solution of Dirichlet and Neumann boundary value problems for the homogeneous Helmholtz equation in two- and three-dimensional domains possessing radial symmetry. The appropriate ...