A generalized duality method for solving variational inequalities Applications to some nonlinear Dirichlet problems. - José M. Gallardo; Carlos Parés; Manuel J. Castro (Numerische Mathematik, 2005)

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 (Math. Comput., 2006)

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 (J. Comput. Phys., 2007)

Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws. - Manuel J. Castro; José M. Gallardo; Juan A. López-García; Carlos Parés (SIAM J. Numer. Anal., 2008)

A Method to Compare MALDI-TOF MS PMF Spectra and Its Application in Phyloproteomics. - Ignacio Ortea; Lorena Barros; Benito Cañas; Pilar Calo-Mata; Jorge Barros-Velázquez; José M. Gallardo (IWANN (2), 2009)

Two-Dimensional Compact Third-Order Polynomial Reconstructions. Solving Nonconservative Hyperbolic Systems Using GPUs. - José M. Gallardo; Sergio Ortega; Marc de la Asunción; José Miguel Mantas (J. Sci. Comput., 2011)

Efficient numerical schemes for viscoplastic avalanches. Part 1: The 1D case. - Enrique Domingo Fernández-Nieto; José M. Gallardo; Paul Vigneaux (J. Comput. Phys., 2014)

A Class of Incomplete Riemann Solvers Based on Uniform Rational Approximations to the Absolute Value Function. - Manuel J. Castro; José M. Gallardo; Antonio Marquina (J. Sci. Comput., 2014)

Approximate Osher-Solomon schemes for hyperbolic systems. - Manuel J. Castro; José M. Gallardo; Antonio Marquina (Appl. Math. Comput., 2016)

Jacobian-free approximate solvers for hyperbolic systems: Application to relativistic magnetohydrodynamics. - Manuel J. Castro; José M. Gallardo; Antonio Marquina (Comput. Phys. Commun., 2017)

Efficient numerical schemes for viscoplastic avalanches. Part 2: The 2D case. - Enrique Domingo Fernández-Nieto; José M. Gallardo; Paul Vigneaux (J. Comput. Phys., 2018)

On a class of two-dimensional incomplete Riemann solvers. - José M. Gallardo; Kleiton A. Schneider; Manuel J. Castro (J. Comput. Phys., 2019)

On a class of genuinely 2D incomplete Riemann solvers for hyperbolic systems. - José M. Gallardo; Kleiton A. Schneider; Manuel J. Castro (Comput. Math. Methods, 2020)

Multidimensional approximate Riemann solvers for hyperbolic nonconservative systems. Applications to shallow water systems. - Kleiton A. Schneider; José M. Gallardo; Dinshaw S. Balsara; Boniface Nkonga; Carlos Parés (J. Comput. Phys., 2021)

Efficient GPU Implementation of Multidimensional Incomplete Riemann Solvers for Hyperbolic Nonconservative Systems: Applications to Shallow Water Systems with Topography and Dry Areas. - Kleiton A. Schneider; José M. Gallardo; Cipriano Escalante (J. Sci. Comput., 2022)