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2022

Felisia Chiarello; Harold Contreras; Luis Miguel Villada

Nonlocal reaction traffic flow model with on-off ramps Journal Article

Networks and Heterogeneous Media, 17 (2), pp. 203-226, 2022, ISSN: 15561801.

Links | Etiquetas: GIMNAP, Numerical Analysis

2021

Raimund Bürger; Christophe Chalons; Rafael Ordoñez; Luis Miguel Villada

A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function Journal Article

Netw. Heterog. Media, 16 (2), pp. 187-219, 2021.

Links | Etiquetas: discontinuous flux, GIMNAP, invariant region principle., Lighthill-Whitham-Richards traffic model, multiclass traffic model, Numerical Analysis, system of conservation laws

2020

Raimund Bürger; Rafael Rodoñez; Mauricio Sepúlveda; Luis Miguel Villada

Numerical analysis of a three-species chemotaxis model Journal Article

Comput. Math. Appl., 80 (1), pp. 183–203, 2020, ISSN: 0898-1221.

Links | Etiquetas: GIMNAP, Numerical Analysis

Felisia Chiarello Angela; Paola Goatin; Luis Miguel Villada

Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models Journal Article

Comput. Appl. Math., 39 (2), pp. Paper No. 60, 22, 2020, ISSN: 0101-8205.

Links | Etiquetas: GIMNAP, Numerical Analysis

2019

Paulo Amorim; Bruno Telch; Luis Miguel Villada

A reaction-diffusion predator-prey model with pursuit, evasion, and nonlocal sensing Journal Article

Math. Biosci. Eng., 16 (5), pp. 5114–5145, 2019, ISSN: 1547-1063.

Links | Etiquetas:

Raimund Bürger; Daniel Inzunza; Pep Mulet; Luis Miguel Villada

Implicit-explicit schemes for nonlinear nonlocal equations with a gradient flow structure in one space dimension Journal Article

Numer. Methods Partial Differential Equations, 35 (3), pp. 1008–1034, 2019, ISSN: 0749-159X.

Links | Etiquetas: GIMNAP, Numerical Analysis

2018

Christophe Chalons; Paola Goatin; Luis Miguel Villada

High-order numerical schemes for one-dimensional nonlocal conservation laws Journal Article

SIAM J. Sci. Comput., 40 (1), pp. A288–A305, 2018, ISSN: 1064-8275.

Links | Etiquetas: GIMNAP, Numerical Analysis

Raimund Bürger; Gerardo Chowell; Elvis Gavilán; Pep Mulet; Luis Miguel Villada

Numerical solution of a spatio-temporal gender-structured model for hantavirus infection in rodents Journal Article

Math. Biosci. Eng., 15 (1), pp. 95–123, 2018, ISSN: 1547-1063.

Links | Etiquetas: GIMNAP, Numerical Analysis

2016

Raimund Bürger; Christophe Chalons; Luis Miguel Villada

Antidiffusive Lagrangian-remap schemes for models of polydisperse sedimentation Journal Article

Numer. Methods Partial Differential Equations, 32 (4), pp. 1109–1136, 2016, ISSN: 0749-159X.

Links | Etiquetas: GIMNAP, Numerical Analysis

Raimund Bürger; Christophe Chalons; Luis Miguel Villada

On second-order antidiffusive Lagrangian-remap schemes for multispecies kinematic flow models Journal Article

Bull. Braz. Math. Soc. (N.S.), 47 (1), pp. 187–200, 2016, ISSN: 1678-7544.

Links | Etiquetas: GIMNAP, Numerical Analysis

Raimund Bürger; Gerardo Chowell; Pep Mulet; Luis Miguel Villada

Modelling the spatial-temporal progression of the 2009 A/Ħ1N1 influenza pandemic in Chile Journal Article

Math. Biosci. Eng., 13 (1), pp. 43–65, 2016, ISSN: 1547-1063.

Links | Etiquetas: GIMNAP, Numerical Analysis