Publications - Preprints



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My citations


In Refereed Journals


  1. On the nonlinear dynamics of the traveling-wave solutions of the Serre equations. (with J. Carter and D. Dutykh), submitted (PDF)
  2. Numerical solution of the Benjamin equation. (with V. Dougalis and A. Duran), submitted (PDF)
  3. On the Galerkin/finite element method for the Serre equations. (with D. Dutykh and B. Ilan), accepted (PDF)
  4. Numerical approximation of solitary waves of the Benjamin equation. (with V. Dougalis and A. Duran), accepted (PDF)
  5. On the Gallilean invariance of some dispersive wave equations. (with A. Duran and D. Dutykh), Studies in Applied Mathematics, 131(2013), 359-388. (PDF)
  6. Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations. (with D. Dutykh, D. Clamond and P. Milewski), European J. Appl. Math., 24(2013), 761-787. (PDF)
  7. On the use of finite fault solution for tsunami generation problems. (with F. Dias, D. Dutykh and X. Gardeil), Theor. Comp. Fluid Dyn., 27(2013), 177-199. (PDF)
  8. Finite volume methods for unidirectional dispersive wave models. (with D. Dutykh and T. Katsaounis), Int. J. Numer. Meth. Fluids, 71(2013), 717-736. (PDF)
  9. On the contribution of the horizontal sea-bed displacements into the tsunami generation process. (with D. Dutykh L. Chubarov and Yu. Shokin), Ocean Modeling, 56(2012), 43-56. (PDF)
  10. Long wave runup on random beaches. (with D. Dutykh and C. Labart), Phys. Rev. Lett., 170(2011), 184504. (PDF)
  11. Finite volume schemes for dispersive wave propagation and run-up (with D. Dutykh and T. Katsaounis), Journal of Computational Physics, 230(2011), 3035-3061. (PDF)
  12. Galerkin approximations of periodic solutions of Boussinesq systems. (with D. Antonopoulos and V. Dougalis), Bulletin of the Greek Mathematical Society, 57(2010), 13-30.  (PDF)
  13. Initial-boundary-value problems for Boussinesq systems of Bona-Smith type on a plain domain: theory and numerical analysis, (with V. Dougalis and J.-C. Saut), J. Sci. Comput. 44(2010), 109-135. (PDF)
  14. On the relevance of the dam break problem in the context of nonlinear shallow water equations. (with D. Dutykh), Discrete Contin. Dyn. Syst., 13(2010), 799-818. (PDF
  15. Numerical solution of Boussinesq systems of the Bona-Smith family. (with D. Antonopoulos and V. Dougalis), Appl. Numer. Math., 30(2010), 314-336. (PDF). (The Appendix in (PDF)) 
  16. Boussinesq systems in two space dimensions over a variable bottom for the generation and propagation of tsunami waves, Mat. Comp. Simul., 80(2009), 860-873. (PDF)
  17. On initial-boundary value problems for a Boussinesq system of BBM-BBM type in a plane domain. (with V. Dougalis and J.-C. Saut), Discrete Contin. Dyn. Syst, 23(2009), 11911204.  (PDF)
  18. Initial-boundary value problems for the Bona-Smith family of Boussinesq systems. (with D. Antonopoulos and V. Dougalis),  Adv. Differential Equations, 14(2009), 2753. (PDF) - Correction (PDF)
  19. Numerical solution of KdV-KdV systems of Boussinesq equations: II. Generation and evolution of radiating solitary waves. (with J. Bona and V. Dougalis), Nonlinearity, 21(2008), 28252848. (PDF)
  20. On some Boussinesq systems in two space dimensions: Theory and numerical analysis,  (with V. Dougalis and J.-C. Saut), Math. Model. Num. Anal., 41(2007), 825854.  (PDF)
  21. Numerical solution of KdV-KdV systems of Boussinesq equations: I. The numerical scheme and generalized solitary waves,  (with J. Bona and V. Dougalis), Mat. Comp. Simul., 74(2007), 214228. (PDF)
  22. A numerical study of the stability of solitary waves of the Bona-Smith family of Boussinesq systems,  (with V.  Dougalis, A. Duran, M. A. Lopez-Marcos), J. Nonlinear Sci., 17(2007), 569607. (PDF)


In Proceedings


  1. Dispersive waves generated by an underwater landslide. Numerical methods for Hyperbolic Equations, (with D. Dutykh, S. Beysel, N. Shokina). Eds: Vazquez-Cendon et al., Taylor & Francis Group, London, pp. 245 - 250, 2013. (PDF)
  2. Dispersive wave runup on non-uniform shores(with D. Dutykh and T. Katsaounis), Finite volumes for complex application VI - Problems & Perspectives. Springer Proceedings in Mathematics, 2011, Volume 4, Part 1, 389 - 397. (PDF)

  3. Finite volume schemes for Boussinesq type equations (with D. Dutykh, T. Katsaounis), Proceedings of Colloque EDP-Normandie, 28 & 29 October 2010, Caen, France, pp. 21-28. (PDF)
  4. Solitary waves of the Bona-Smith system (with V. Dougalis), Advances in scattering theory and biomedical engineering, World Scientific, New Jersey, (2004), pp. 286294. (eds. D. Fotiadis and C. Massalas). (PDF


Book Chapters 

 

  1. Theory and numerical analysis of Boussinesq systems: A review. (with V. Dougalis), in Effective Computational Methods in Wave Propagation, N. A. Kampanis, V. A. Dougalis, J. A. Ekaterinaris (eds.), CRC Press 2008, pp. 63–110. (PDF)


Unpublished Reports    


  1. A numerical study of the stability of solitary waves of the Bona-Smith family of Boussinesq systems, J. Nonlinear Sci., 17(2007), 569607. (with V.  Dougalis, A. Duran, M. A. Lopez-Marcos). (Report #1 in ps.zipReport #2 in pdf)
  2. High order Discontinuous Galerkin methods and fast solution of the one dimensional scalar BBM-KdV equation near the zero dispersion limit. (with Jean-Baptiste Apoung Kamga) (PDF)
  3. A simplified introduction to water waves. (PDF)