• 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  

      Differential invariants for third-order evolution equations 

      Tsaousi, Christina; Tracinà, Rita; Sophocleous, Christodoulos (2015)
      We consider a general class of third order evolution equations. We construct differential invariants with the employment of the infinitesimal method that using equivalence groups. We use the differential invariants to ...
    • Article  

      Higher-order accurate polyspectral estimation with flat-top lag-windows 

      Berg, A.; Politis, Dimitris Nicolas (2009)
      Improved performance in higher-order spectral density estimation is achieved using a general class of infinite-order kernels. These estimates are asymptotically less biased but with the same order of variance as compared ...
    • Conference Object  

      On semi-markov modelling and inference for multi-state systems 

      Barbu, Vlad Stefan; Karagrigoriou, Alex; Makrides, Andreas (Institute of Electrical and Electronics Engineers Inc., 2016)
      In this work we focus on multi state systems that we model by means of semi-Markov processes. The sojourn times are seen to be independent not identically distributed random variables and assumed to belong to a general ...
    • Conference Object  

      Semi-Markov modelling for multi-state systems 

      Barbu, Vlad Stefan; Karagrigoriou, Alex; Makrides, Andreas (Institute of Electrical and Electronics Engineers Inc., 2014)
      Markov processes are widely used in reliability engineering. In this work we focus on multi state systems (MSS) and apply the Semi-Markov methodology for parameter estimation. For this purpose the sojourn times are assumed ...