Browsing by Author "Smyrlis, YiorgosSokratis"
Now showing items 120 of 61

Article
Analyticity for a class of nonlinear evolutionary pseudodifferential equations
Ioakim, Xenakis; Smyrlis, YiorgosSokratis (2014)We study the analyticity properties of solutions for a class of nonlinear evolutionary pseudodifferential equations possessing global attractors. In order to do this we utilise an analyticity criterion for spatially ...

Conference Object
Analyticity for KuramotoSivashinsky type equations and related systems
Ioakim, Xenakis; Smyrlis, YiorgosSokratis (2013)We study the analyticity properties of solutions of KuramotoSivashinsky type equations and related systems, with periodic initial data. In order to do this, we explore the sharpness of the method developed in Collet et ...

Article
Analyticity for KuramotoSivashinskytype equations in two spatial dimensions
Ioakim, Xenakis; Smyrlis, YiorgosSokratis (2016)I. Stratis In this work, we investigate the analyticity properties of solutions of KuramotoSivashinskytype equations in two spatial dimensions, with periodic initial data. In order to do this, we explore the applicability ...

Article
Analyticity for Kuramoto–Sivashinsky‐type equations in two spatial dimensions
Ioakim, Xenakis; Smyrlis, YiorgosSokratis (2015)

Article
Analyticity of the attractors of dissipativedispersive systems in higher dimensions
Evripidou, Charalampos A.; Smyrlis, YiorgosSokratis (2018)We investigate the analyticity of the attractors of a class of KuramotoSivashinsky–type pseudodifferential equations in higher dimensions, which are periodic in all spatial variables and possess a universal attractor. ...

Article
Applicability and applications of the method of fundamental solutions
Smyrlis, YiorgosSokratis (2009)In the present work, we investigate the applicability of the method of fundamental solutions for the solution of boundary value problems of elliptic partial differential equations and elliptic systems. More specifically, ...

Article
Approximation by solutions of elliptic equations in semilocal spaces
Smyrlis, YiorgosSokratis (2009)In the present work, we investigate the approximability of solutions of elliptic partial differential equations in a bounded domain Ω by solutions of the same equations in a larger domain. We construct an abstract framework ...

Article
Backward difference formulae for Kuramoto–Sivashinsky type equations
Akrivis, Georgios; Smyrlis, YiorgosSokratis (2017)We analyze the discretization of the periodic initial value problem for Kuramoto–Sivashinsky type equations with Burgers nonlinearity by implicit–explicit backward difference formula (BDF) methods, establish stability and ...

Article
Computational study of the dispersively modified KuramotoSivashinsky equation
Akrivis, Georgios; Papageorgiou, Demetrios T.; Smyrlis, YiorgosSokratis (2012)We analyze and implement fully discrete schemes for periodic initial value problems for a general class of dispersively modified KuramotoSivashinsky equations. Time discretizations are constructed using linearly implicit ...

Conference Object
Computational study of the KuramotoSivashinsky equation
Smyrlis, YiorgosSokratis; Papageorgiou, Demetrios T. (Soc for Industrial & Applied Mathematics Publ, 1996)We report the results of extensive numerical experiments on the KuramotoSivashinsky equation in the strongly chaotic regime as the viscosity parameter is decreased and increasingly more linearly unstable modes enter the ...

Article
Computer assisted study of strange attractors of the KuramotoSivashinsky equation
Papageorgiou, Demetrios T.; Smyrlis, YiorgosSokratis (1996)Extensive numerical computations have been carried out using the KuramotoSivashinsky equation which is one of the simplest PDE's which exhibit chaotic behavior. A perioddoubling route to chaos has been located which ...

Article
Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems
Karageorghis, Andreas; Smyrlis, YiorgosSokratis (2008)In this work, we use conformal mapping to transform harmonic Dirichlet problems of Laplace's equation which are defined in simplyconnected domains into harmonic Dirichlet problems that are defined in the unit disk. We ...

Article
Corrigendum to “Investigation of the analyticity of dissipative–dispersive systems via a semigroup method” [J. Math. Anal. Appl. 420 (2) (2014) 1116–1128]
Ioakim, Xenakis; Smyrlis, YiorgosSokratis (2018)

Article
Density results with linear combinations of translates of fundamental solutions
Smyrlis, YiorgosSokratis (2009)In the present work, we investigate the approximability of solutions of elliptic partial differential equations in a bounded domain Ω by linear combinations of translates of fundamental solutions of the underlying partial ...

Article
Editorial
Christodoulides, Paul; Papageorgiou, Demetrios T.; Smyrlis, YiorgosSokratis; VandenBroeck, J. M (2013)

Article
The effects of generalized dispersion on dissipative dynamical systems
Smyrlis, YiorgosSokratis; Papageorgiou, Demetrios T. (1998)We study the effects of dispersion on the KuramotoSivashinsky (KS) equation. In the physical problem considered, there is a full dispersion relation corresponding to a pseudodifferential linear operator added to the KS ...

Article
Efficient implementation of the MFS: The three scenarios
Smyrlis, YiorgosSokratis; Karageorghis, Andreas (2009)In this study we investigate the approximation of the solutions of harmonic problems subject to Dirichlet boundary conditions by the Method of Fundamental Solutions (MFS). In particular, we study the application of the MFS ...

Article
Existence and stability of stationary profiles of the lw scheme
Smyrlis, YiorgosSokratis (1990)In this paper we study the behavior of difference schemes approximating solutions with shocks of scalar conservation laws (Formula Presented.) When a difference scheme introduces artificial numerical diffusion, for example ...

Article
Existence and stability of traveling discrete shocks
Smyrlis, YiorgosSokratis; Yu, S. H. (1997)We are concerned with existence and stability questions for finite difference schemes approximating solutions of scalar conservation laws with shocks. A suitable model for the study of the artifacts created by these schemes ...

Article
Implicitexplicit BDF methods for the KuramotoSivashinsky equation
Akrivis, Georgios; Smyrlis, YiorgosSokratis (2004)We consider the periodic initial value problem for the KuramotoSivashinsky (KS) equation. We approximate the solution by discretizing in time by implicitexplicit BDF schemes and in space by a pseudospectral method. We ...