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Recent publications

  1. (2007) (with J. L. Bona and D. Mitsotakis) Numerical solution of KdV-KdV systems of Boussinesq Equations: I, The numerical scheme and generalized solitary waves, J. Math. And Computers in Simulation, 74 (2007), pp. 214-228.([pdf]).
  2. (2007) (with D.E. Mitsotakis and J.-C. Saut) On some Boussinesq systems in two space dimensions: Theory and numerical analysis, ESAIM: Math. Modelling and Numer. Anal. v. 41, pp. 825-854.([pdf]).
  3. (2007) (with A. Duran, M.A. Lopez-Marcos and D.E. Mitsotakis) A numerical study of the stability of solitary waves of the Bona-Smith family of Boussinesq systems, J. Nonlinear Sci. v. 17, pp. 569-607.([pdf]).
  4. (2008) (with G.A. Athanassoulis, K.A. Belibassakis, D.A. Mitsoudis and N.A. Kampanis ) Coupled mode and finite element approximations of underwater sound propagation problems In general stratified environments, J.Comp.Acoustics, v.16, pp.83-116.([pdf]).
  5. (2008) (with J.L.Bona and D.E.Mitsotakis) Numerical solution of KdV-KdV systems of Boussinesq equations : II Generation and evolution of radiating solitary waves, Nonlinearity v. 21, pp. 2825-2848.([pdf]).
  6. (2009) (with D. Mitsotakis and J.-C. Saut) On initial-boundary value problems for a Boussinesq system of BBM-BBM type in a plane domain ,J. of Discrete and Continuous Dynamical Systems v. 23, pp. 1191-1204.([pdf]).
  7. (2009) (with D.C. Antonopoulos and D.E. Mitsotakis) Initial-boundary-value problems for the Bona-Smith family of Boussinesq systems, Advances in Differential Equations, v.14 (2009) pp.27-53.([pdf]).
  8. (2009) (with F. Sturm and G.E. Zouraris) On an initial-boundary value problem for a wide-angle parabolic equation in a waveguide with a variable bottom, Mathematical Methods in the Applied Sciences, v.32, pp. 1519-1540.([pdf]).
  9. (2009) (with D.C. Antonopoulou and G.E. Zouraris) Galerkin methods for parabolic and Schroedinger equations with dynamical boundary conditions and applications to underwater acoustics, SIAM J. Numer. Anal. , v.47, pp.2752-2781.([pdf]).
  10. (2010) (with D.C.Antonopoulos and D.E.Mitsotakis) Numerical solution of Boussinesq systems of the Bona-Smith family, Appl. Numer. Math., v.60, pp. 314-336.([pdf]).
  11. (2010) (with D.E.Mitsotakis and J.- C. Saut) Boussinesq systems of Bona-Smith type on plane domains: Theory and numerical analysis, J. of Scientific Computing, v.44, pp.109-135.([pdf]).
  12. (2010) (with D.C.Antonopoulos and D.E. Mitsotakis) Galerkin approximations of periodic solutions of Boussinesq systems, Bull. Greek Math. Soc., v.57, pp.13-30.([pdf]).
  13. (2012) (with D.C. Antonopoulos) Numerical solution of the ‘classical’ Boussinesq system. Math. and Computers in Simulation, v.82, pp. 984-1007.([pdf]).
  14. (2013) (with D.C.Antonopoulos) Error estimates for Galerkin approximation of the 'classical' Boussinesq system, Math.Comp. 82 (2013), pp.689-717; extended version in arXiv: 1008. 4248.([pdf]).
  15. (2013) (with D.C.Antonopoulou and G. E. Zouraris) A finite difference method for the wide-angle 'parabolic' equation in waveguide with downsloping bottom, Num. Meth. PDEs, 29 (2013), pp.1416-1440.([pdf]).
  16. (2015) (with A.Duran and D.E.Mitsotakis) Numerical solution of the Benjamin equation, Wave Motion 52 (2015), pp. 194-215; see also ArXiv:1310.2749.([pdf]).
  17. (2016) (with A. Duran and D. E. Mitsotakis) Numerical approximation of solitary waves of the Benjamin equation, Math. and Computers in Simulation 127 (2016), pp. 56-79.([pdf]).
  18. (2016) (With D.C.Antonopoulos) Error estimates for the standard Galerkin - finite element method for the Shallow Water equations, Math.Comp. 85 (2016), pp. 1143-1182; see also arXiv: 1403.5699).([pdf]).
  19. (2017) (With D.C. Antonopoulos) Galerkin-finite element methods for the Shallow Water equations with characteristic boundary conditions, IMA J. of Numerical Analysis, 37(2017), pp. 266-295; extended version in arXiv: 1507.08209. ([pdf])
  20. (2017) (With  D.C.Antonopoulos and  D.E.Mitsotakis) Error estimates for Galerkin approximations of the Serre equations, SIAM J.Numer. Anal. 55 (2017), pp. 841-868. ([pdf])
  21. (2018) (With E.T.Flouri and C.E.Synolakis) Numerical modelling of tsunamis and tsunami vulnerability analysis for Heraklion, Crete, Math.Meth.Appl.Sci. 41 (2018), pp. 1068-1073. ([pdf])
  22. (2019) (With A. Duran and D.E.Mitsotakis) Numerical approximation to Benjamin type equations. Generation and stability of solitary waves, Wave Motion 85 (2019), pp.34-56; see also arXiv:1712.00485. ([pdf])
  23. (2019) (With D.C.Antonopoulos and  D.E.Mitsotakis) Error estimates for Galerkin finite element methods for the Camassa-Holm equation, Numer. Math. 142 (2019), pp.833-862; see also arXiv: 1805.10744. ([pdf])
  24. (2020) (With D.C.Antonopoulos and G.Kounadis) On the standard Galerkin method with explicit RK4 time stepping for the Shallow Water equations, IMA J. Numer. Anal. 40 (2020), pp.2415-2449; see also arXiv: 1810.11008. ([pdf])
  25. (2020) (With G.Kounadis)  Galerkin finite element methods for the shallow water equations over variable bottom, J.Computational and Applied Math. 373 (2020), 112315; see also arXiv: 1901.04230. ([pdf])
  26. (2020) (With D.C.Antonopoulos and G.Kounadis) Galerkin finite element methods for the numerical solution of two classical -Boussinesq type systems over variable bottom topography. (To appear; also arXiv: 2006.03409.) ([pdf])
  27. (2020) (With A. Duran) A high order fully discrete scheme for the Korteweg-de Vries equation  with a time-stepping procedure of Runge-Kutta-composition type. (To appear; also arXiv: 2005.12955.) ([pdf])
  28. (2020) (With A.Duran and L. Saridaki)  On the numerical approximation of Boussinesq / Boussinesq systems for internal waves. (To appear; also arXiv: 2012.07992.) ([pdf])