Publications

 

Accepted Journal Publications (in reverse chronological order)

  1. Th. Katsaounis, I. Kyza, A posteriori error control & adaptivity for Crank-Nicolson finite element approximations for the linear Schrödinger equation, to appear in Numer. Math., arxiv 1301.4391
  2. A. Bonito, I. Kyza, R.H. Nochetto, Time discrete higher order ALE formulations: A priori error analysis, Numer. Math. 125 (2013), pp. 225-257 pdf
  3. A. Bonito, I. Kyza, R.H. Nochetto, Time discrete higher order ALE formulations: Stability, SIAM J. Numer. Anal. 51 (2013), pp. 577–604 pdf
  4. I. Kyza, Ch. Makridakis, Analysis for time discrete approximations of blow-up solutions of semilinear parabolic equations, SIAM J. Numer. Anal. 49 (2011), pp. 405-426 pdf
  5. I. Kyza, A posteriori error analysis for the Crank-Nicolson method for linear Schrödinger equations, M2AN Math. Model. Numer. Anal., 45 (2011), pp. 761-778 pdf
  6. I. Kyza, Ch. Makridakis, M. Plexousakis Error control for time-splitting spectral approximations of the semiclassical Schrödinger equation, IMA J. Numer. Anal., 31 (2011), pp. 416-441 pdf
  7. A. Karageorghis, I. Kyza, Efficient algorithms for approximating particular solutions of elliptic equations using Chebyshev polynomials, Commun. Comput. Phys., 2 (2007), pp. 501-521 pdf



Book Chapters

  1. A. Bonito, I. Kyza, R.H. Nochetto, A dG approach to higher order ALE formulations in time, Chapter in Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations, 2012 Barrett Lectures, The IMA Volume in Mathematics and its Applications, Vol. 157 (2013), pp. 223-258, Springer pdf



Preprints

  1. A. Athanassoulis, Th. Katsaounis, I. Kyza, On a selection principle for multivalued semiclassical flows, submitted arxiv 1403.7935
  2. A. Cangiani, E.H. Georgoulis, I. Kyza, S. Metcalfe, Adaptivity and blow-up detection for nonlinear non-stationary convection-diffusion problems (draft available upon request)
  3. A. Bonito, I. Kyza, R.H. Nochetto, Time discrete higher order ALE formulations: A posteriori error analysis (draft available upon request)