3 citations · 9 across the 4 of their papers we have counts for
4 papers
High-order In-cell Discontinuous Reconstruction path-conservative methods for nonconservative hyperbolic systems -- DR.MOOD generalization
Ernesto Pimentel-García, Manuel J. Castro, Christophe Chalons +1
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 noncon…
CAT-MOOD methods for conservation laws in one space dimension
R. Loubere, E. Macca, C. Pares +1
In this paper we blend high-order Compact Approximate Taylor (CAT) numerical methods with the a posteriori Multi-dimensional Optimal Order Detection (MOOD) paradigm to solve hyperb…
Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws
Irene Gómez-Bueno, Sebastiano Boscarino, Manuel Jesús Castro +2
The aim of this work is to design implicit and semi-implicit high-order well-balanced finite-volume numerical methods for 1D systems of balance laws. The strategy introduced by two…
A class of well-balanced algorithms for relativistic fluids on a Schwarzschild background
Philippe G. LeFloch, Carlos Parés, Ernesto Pimentel-García
For the evolution of a compressible fluid in spherical symmetry on a Schwarzschild curved background, we design a class of well-balanced numerical algorithms with first-order or se…