Research Articles

 

 

(�) Articles published (or accepted/submitted for publication) in/to journals.

 

 

�  Smyrlis, Yiorgos Sokratis: Existence and stability of stationary profiles of the LW scheme. Comm. Pure Appl. Math. 43 (1990), no. 4, 509--545.

 

M.S.C.  65M99 (35L65 65M50)    MR 91d:65143

 

 

�  Smyrlis, Yiorgos S.; Papageorgiou, Demetrios T. : Predicting chaos for infinite-dimensional dynamical systems: the Kuramoto-Sivashinsky equation, a case study. Proc. Nat. Acad. Sci. U.S.A. 88 (1991), no. 24, 11129--11132.

 

M.S.C.  58F13   MR 92h:58136 

 

 

�  Smyrlis, Yiorgos S.; Papageorgiou, Demetrios T. : The route to chaos for the Kuramoto-Sivashinsky equation. Theoret. Comput. Fluid Dynamics 3 (1991), 15--42.

 

 M.S.C.  58F13

 

 

�   Papageorgiou, Demetrios T.; Papanicolaou, George C.; Smyrlis, Yiorgos S. : Modulational stability of periodic solutions of the Kuramoto-Sivashinsky equation. Singularities in fluids, plasmas and optics (Heraklion, 1992), 255--263, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 404, Kluwer Acad. Publ., Dordrecht, 1993.

 

M.S.C.  35Q53 (35B10 76D33)  MR 1 864 373

 

 

�   Coward, Adrian V.; Papageorgiou, Demetrios T.; Smyrlis, Yiorgos S. : Nonlinear stability of oscillatory core-annular flow: a generalized Kuramoto-Sivashinsky equation with time periodic coefficients. Z. Angew. Math. Phys. 46 (1995), no. 1, 1--39.
 

M.S.C. 76E30 (58F40 76D05 76D45 76T05)   MR 95i:76040

 

 

�  Smyrlis, Yiorgos S.; Papageorgiou, Demetrios T. : Computational study of the Kuramoto-Sivashinsky equation. Advances in multi-fluid flows (Seattle, WA, 1995), 426--432, SIAM, Philadelphia, PA, 1996.

 

M.S.C. 76M25 (80-08)   MR 1 414 914     

 

 

�  Smyrlis, Yiorgos S.; Papageorgiou, Demetrios T. : Computer assisted study of strange attractors of the Kuramoto-Sivashinsky equation. Zeitschrift für angewandte Mathematik und Mechanik (ZAMM) 76 (1996),  no. 2, 57--60.

 

 

�  Georgiou, G; Olson, L.; Smyrlis, Y.-S.: A singular function boundary integral method for the Laplace equation. Commun. Num. Meth. Eng. 12, 127-134 (1996). 

 

 

�  Smyrlis, Yiorgos Sokratis; Yu, Shih Hsien : Existence and stability of traveling discrete shocks. Numerical analysis and its applications (Rousse, 1996), 466--473, Lecture Notes in Comput. Sci., 1196, Springer, Berlin, 1997.
 

M.S.C.  65M06 (35L65 35L67 65M12)   MR 1 475 997 

 

 

�  Smyrlis, Y. S.; Papageorgiou, D. T. : The effects of generalized dispersion on dissipative dynamical systems. Appl. Math. Lett. 11 (1998), no. 6, 93--99.

 

M.S.C. 35Q53 (35B40 76B15 76E30)   MR 99f:35180  

 

 

�  Smyrlis, Y.-S.; Karageorghis, A.; Georgiou, G. : Some aspects of the one-dimensional version of the method of fundamental solutions. Comput. Math. Appl. 41 (2001), no. 5-6, 647--657.
 

M.S.C.  65L10   MR 2002a:65115  

 

 

�  Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas: Some aspects of the method of fundamental solutions for certain harmonic problems. J. Sci. Comput. 16 (2001), no. 3, 341--371.
 

M.S.C.  65N35 (65N99)   MR 2002i:65136  

 

 

�  Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas: Some aspects of the method of fundamental solutions for certain biharmonic problems. To appear in: Computer Modeling in Engineering and Sciences.  

 

 

 

�  Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas: A matrix decomposiotion MFS algorithm for axisymmetric potential problems. To appear in: Engineering Analysis with Boundary
Elements.  

 

 

 

�  Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis: A matrix decomposiotion MFS algorithm for axisymmetric biharmonic problems. Submitted to  Advances in Computational Mathematics.  

 

 

 

�  Akrivis, Georgios; Smyrlis, Yiorgos-Sokratis: Implicit-explicit BDF methods for the Kuramoto-Shivashinsky equation. To appear in: Applied Numerical Mathematics.

 

 

 

 

�  Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis: Numerical analysis of the MFS for certain harmonic problems. Submitted to IMA Journal of Numerical Analysis. 

 

        

 

 

�  Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis: A linear least-squares MFS for certain elliptic problems. Submitted to Numerical Algorithms. 

 

        

 

 

 

(�) Articles published in refereed proceedings of conferences.

 

 

�  Smyrlis, Yiorgos S.; Papageorgiou, Demetrios T. : Chaotic attractors of KSE: A computer assisted study. Proc. ICIAM 95, Hamburg, July 3-7, 1995.

 

 

�  Smyrlis, Yiorgos S.; Papageorgiou, Demetrios T. : Computational study of the KS equation. Advances in Multi-Fluid Flows, (Y.Y. Renardy, A.V. Coward, D.T. Papageorgiou, and S.-M. Sun, eds.), SIAM, 1996, 426-432.

 

 

  MR Reviews of some of Y.-S. Smyrlis' mathematical articles.

 

     Zbl. Reviews of some of Y.-S. Smyrlis' mathematical articles.

                   

 

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