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- Análisis Matemático, Estadística e Investigación Operativa y Matematica Aplicada - (AM)
- Listar Análisis Matemático, Estadística e Investigación Operativa y Matematica Aplicada - (AM) por autor
Listar Análisis Matemático, Estadística e Investigación Operativa y Matematica Aplicada - (AM) por autor "Pimentel García, Ernesto"
Mostrando ítems 1-4 de 4
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A Class of Well-Balanced Algorithms for Relativistic Fluids on a Schwarzschild Background
LeFloch, Philippe G.; Parés-Madroñal, Carlos María; Pimentel García, Ernesto (SPRINGER, 2021-08-16)
For the evolution of a compressible fluid in spherical symmetry on a Schwarzschild curved background, we design a class of well-balanced numerical algorithms up to third-order accuracy. We treat both the relativistic ... -
High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties
Pimentel García, Ernesto; Müller, Lucas; Toro, Eleuterio F.; Parés-Madroñal, Carlos María(Elsevier, 2022-12-27)
In this paper, we are interested in the numerical study of the one-dimensional blood flow model with discontinuous mechanical and geometrical properties. We present the mathematical model together with its nondimensional ... -
High-order in-cell discontinuous reconstruction path-conservative methods for nonconservative hyperbolic systems–DR.MOOD method
Pimentel García, Ernesto; Castro-Díaz, Manuel Jesús; Chalons, Christophe; Parés-Madroñal, Carlos María
(Wiley, 2024)
In this work, we develop a new framework to deal numerically with discontinuous solutions in nonconservative hyperbolic systems. First an extension of the MOOD methodology to nonconservative systems based on Taylor expansions ... -
In-cell discontinuous reconstruction path-conservative methods for non conservative hyperbolic systems - Second-order extension
Pimentel García, Ernesto; Castro-Díaz, Manuel Jesús; Chalons, Christophe; Morales-de-Luna, Tomás
; Parés-Madroñal, Carlos María
(Elsevier, 2022-06-15)
We are interested in the numerical approximation of discontinuous solutions in non conservative hyperbolic systems. An extension to second-order of a new strategy based on in-cell discontinuous reconstructions to deal with ...