250 citations · 256 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
Compact Approximate Taylor methods for systems of conservation laws
Hugo Carrillo, Carlos Parés
A new family of high order methods for systems of conservation laws are introduced: the Compact Approximate Taylor (CAT) methods. These methods are based on centered (2p + 1)-point…
Why many theories of shock waves are necessary. Convergence error in formally path-consistent schemes
Manuel J. Castro, Philippe G. LeFloch, María Luz Muñoz-Ruiz +1
We are interested in nonlinear hyperbolic systems in nonconservative form arising in fluid dynamics, and, for solutions containing shock waves, we investigate the convergence of fi…