1 citations · 1 across the 3 of their papers we have counts for
5 papers
Comment on arXiv:2106.08363v3 [math.NA], E. Abreu, A. Espirito Santo, W. Lambert, and J. Perez, Convergence of a Lagrangian--Eulerian scheme by a weak asymptotic analysis for one-dimensional hyperbolic problems
Frederico Furtado, Felipe Pereira, Li-Ming Yeh
This Comment concerns arXiv:2106.08363v3 [math.NA] by E. Abreu, A. Espirito Santo, W. Lambert and J. Perez, published in Numer. Methods Partial Differential Equations 39 (2023) 240…
Higher Order Asymptotics of Decaying Solutions of some Generalized Burgers Equations
Gastão A. Braga, Frederico Furtado, Jussara M. Moreira +1
We study the large-time behavior of solutions to a generalized Burgers Equation, with initial zero mass data. Our main purpose is to present a modified version of the Renormalizati…
Renormalization Group Analysis of Nonlinear Diffusion Equations with Periodic Coefficients
Gastao A. Braga, Frederico Furtado, Jussara M. Moreira +1
In this paper we present an efficient numerical approach based on the Renormalization Group method for the computation of self-similar dynamics. The latter arise, for instance, as…
A New two-dimensional Second Order Non-oscillatory Central Scheme Applied to multiphase flows in heterogeneous porous media
F. Furtado, F. Pereira, S. Ribeiro
We compare the Kurganov-Tadmor (KT) two-dimensional second order semi-discrete central scheme in dimension by dimension formulation with a new two-dimensional approach introduced h…
Renormalization Group Analysis of Nonlinear Diffusion Equations With Time Dependent Coefficients: Analytical Results
Gastão A. Braga, Frederico Furtado, Jussara M. Moreira +1
We study the long-time asymptotics of a certain class of nonlinear diffusion equations with time-dependent diffusion coefficients which arise, for instance, in the study of transpo…