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math.NA2021
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…
math.NA2021
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…