Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Akrivis, Georgios"
Now showing items 1-8 of 8
-
Article
Backward difference formulae for Kuramoto–Sivashinsky type equations
Akrivis, Georgios; Smyrlis, Yiorgos-Sokratis (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 Kuramoto-Sivashinsky equation
Akrivis, Georgios; Papageorgiou, Demetrios T.; Smyrlis, Yiorgos-Sokratis (2012)We analyze and implement fully discrete schemes for periodic initial value problems for a general class of dispersively modified Kuramoto-Sivashinsky equations. Time discretizations are constructed using linearly implicit ...
-
Article
Implicit-explicit BDF methods for the Kuramoto-Sivashinsky equation
Akrivis, Georgios; Smyrlis, Yiorgos-Sokratis (2004)We consider the periodic initial value problem for the Kuramoto-Sivashinsky (KS) equation. We approximate the solution by discretizing in time by implicit-explicit BDF schemes and in space by a pseudo-spectral method. We ...
-
Article
Linearly implicit methods for a semilinear parabolic system arising in two-phase flows
Akrivis, Georgios; Papageorgiou, Demetrios T.; Smyrlis, Yiorgos-Sokratis (2011)We study the discretization of a nonlinear parabolic system arising in two-phase flows, which in a special case reduces to the Kuramoto-Sivashinsky equation, by linearly implicit methods and, in particular, by implicit-explicit ...
-
Article
Linearly implicit schemes for a class of dispersive-dissipative systems
Akrivis, Georgios; Smyrlis, Yiorgos-Sokratis (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 multi-dimensional Kuramoto-Sivashinsky type equations arising in falling film flows
Akrivis, Georgios; Kalogirou, Anna; Papageorgiou, Demetrios T.; Smyrlis, Yiorgos-Sokratis (2014)This study introduces, analyses and implements space-time discretizations of two-dimensional active dissipative partial differential equations such as the Topper-Kawahara equation
-
Article
Linearly implicit schemes for multi-dimensional Kuramoto–Sivashinsky type equations arising in falling film flows
Akrivis, Georgios; Kalogirou, Anna; Papageorgiou, Demetrios T.; Smyrlis, Yiorgos-Sokratis (2015)
-
Article
On the analyticity of certain dissipative-dispersive systems
Akrivis, Georgios; Papageorgiou, Demetrios T.; Smyrlis, Yiorgos-Sokratis (2013)We study the analyticity properties of solutions of dissipative-dispersive evolutionary equations possessing global attractors. We utilize an analyticity criterion for spatially periodic functions, which involves the rate ...