Now showing items 1-5 of 5

• #### Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws ﻿

(2014-12-31)
In this paper we analyze the large time asymptotic behavior of the discrete solutions of numerical approximation schemes for scalar hyperbolic conservation laws. We consider three monotone conservative schemes that are ...
• #### Large-time behavior of some numerical schemes: application to the sonic-boom phenomenon ﻿

(2014-12-10)
In this thesis we highlight the necessity of employing numerical schemes that preserve the large-time dynamical properties of the continuous system. We focus on Burgers- like equations, which are well known to develop ...
• #### Numerical aspects of large-time optimal control of Burgers equation ﻿

(2015-10-13)
In this paper, we discuss the efficiency of various numerical methods for the inverse design of the Burgers equation, both in the viscous and in the inviscid case, in long time-horizons. Roughly, the problem consists in, ...
• #### A semi-discrete large-time behavior preserving scheme for the augmented Burgers equation ﻿

(2017-06-01)
In this paper we analyze the large-time behavior of the augmented Burgers equation. We first study the well-posedness of the Cauchy problem and obtain $L^1-L^p$ decay rates. The asymptotic behavior of the solution is ...
• #### A splitting method for the augmented Burgers equation ﻿

(2017-07-01)
In this paper we consider a splitting method for the augmented Burgers equation and prove that it is of ﬁrst order. We also analyze the large-time behavior of the approximated solution by obtaining the ﬁrst term in the ...