19 citations · 22 across the 3 of their papers we have counts for
3 papers
math.NA2016
A splitting method for the augmented Burgers equation
Liviu I. Ignat, Alejandro Pozo
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 sol…
math.NA2014★ 3 cited
A semi-discrete large-time behavior preserving scheme for the augmented Burgers equation
Liviu I. Ignat, Alejandro Pozo
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 - decay rates. The…
math.NA2013★ 19 cited
Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws
Liviu I. Ignat, Alejandro Pozo, Enrique Zuazua
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…