Carlos Parés

Numerical methods for nonconservative hyperbolic systems: a theoretical framework.

Carlos Parés · SIAM Journal on Numerical Analysis · 2006 · 524 citations

Natural Sciences, Mathematics, Physics +15

High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems

Manuel J. Castro, José M. Gallardo, Carlos Parés · Mathematics of Computation · 2006 · 289 citations · Full text

Computing, Computational Engineering, Physics +16

Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes

Manuel J. Castro, Philippe G. LeFloch, Marı́a Luz Muñoz-Ruiz et al. · Journal of Computational Physics · 2008 · 244 citations · Full text

Natural Sciences, Mathematics, Physics +16

On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas

José M. Gallardo, Carlos Parés, Manuel J. Castro · Journal of Computational Physics · 2007 · 212 citations

Natural Sciences, Earth Sciences, Hydrology +11

On the well-balance property of Roe's method for nonconservative hyperbolic systems. applications to shallow-water systems

Carlos Parés, Manuel J. Castro · ESAIM Mathematical Modelling and Numerical Analysis · 2004 · 204 citations · Full text

Engineering, Ocean Engineering, Computational Fluid Dynamics +13