22 citations · 27 across the 12 of their papers we have counts for
13 papers
Complex Dynamics of Wave-Character Transitions in Radially Symmetric Isentropic Euler Flows: Theory and Numerics
Eduardo Abreu, Geng Chen, Faris El-Katri +1
We investigate the qualitative dynamics of smooth solutions to the radially symmetric isentropic compressible Euler equations, focusing specifically on the evolution of rarefactive…
Mathematical properties and numerical approximation of pseudo-parabolic systems
E. Abreu, E. Cuesta, A. Duran +1
The paper is concerned with the mathematical theory and numerical approximation of systems of partial differential equations (pde) of hyperbolic, pseudo-parabolic type. Some mathem…
A geometrically intrinsic Lagrangian-Eulerian scheme for 2D Shallow Water Equations with variable topography and discontinuous data
Eduardo Abreu, Elena Bachini, John Perez +1
We present a Lagrangian-Eulerian scheme to solve the shallow water equations in the case of spatially variable bottom geometry. Using a local curvilinear reference system anchored…
Convergence of a Lagrangian-Eulerian scheme by a weak asymptotic analysis for one-dimensional hyperbolic problems
Eduardo Abreu, Arthur Espírito Santo, Wanderson Lambert +1
In this paper, we study both convergence and bounded variation properties of a new fully discrete conservative Lagrangian--Eulerian scheme to the entropy solution in the sense of K…
An application of a pseudo-parabolic modeling to texture image recognition
Joao B. Florindo, Eduardo Abreu
In this work, we present a novel methodology for texture image recognition using a partial differential equation modeling. More specifically, we employ the pseudo-parabolic Buckley…
A study on a feedforward neural network to solve partial differential equations in hyperbolic-transport problems
Eduardo Abreu, Joao B. Florindo
In this work we present an application of modern deep learning methodologies to the numerical solution of partial differential equations in transport models. More specifically, we…