Browsing by Author "Akrivis, Georgios"
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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 ...

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 ...

Article
Linearly implicit methods for a semilinear parabolic system arising in twophase flows
Akrivis, Georgios; Papageorgiou, Demetrios T.; Smyrlis, YiorgosSokratis (2011)We study the discretization of a nonlinear parabolic system arising in twophase flows, which in a special case reduces to the KuramotoSivashinsky equation, by linearly implicit methods and, in particular, by implicitexplicit ...

Article
Linearly implicit schemes for a class of dispersivedissipative systems
Akrivis, Georgios; Smyrlis, YiorgosSokratis (2011)We consider initial value problems for semilinear parabolic equations, which possess a dispersive term, nonlocal in general. This dispersive term is not necessarily dominated by the dissipative term. In our numerical ...

Article
Linearly implicit schemes for multidimensional KuramotoSivashinsky type equations arising in falling film flows
Akrivis, Georgios; Kalogirou, Anna; Papageorgiou, Demetrios T.; Smyrlis, YiorgosSokratis (2014)This study introduces, analyses and implements spacetime discretizations of twodimensional active dissipative partial differential equations such as the TopperKawahara equation

Article
Linearly implicit schemes for multidimensional Kuramoto–Sivashinsky type equations arising in falling film flows
Akrivis, Georgios; Kalogirou, Anna; Papageorgiou, Demetrios T.; Smyrlis, YiorgosSokratis (2015)

Article
On the analyticity of certain dissipativedispersive systems
Akrivis, Georgios; Papageorgiou, Demetrios T.; Smyrlis, YiorgosSokratis (2013)We study the analyticity properties of solutions of dissipativedispersive evolutionary equations possessing global attractors. We utilize an analyticity criterion for spatially periodic functions, which involves the rate ...