250 citations · 426 across the 11 of their papers we have counts for
11 papers
Second order finite volume IMEX Runge-Kutta schemes for two dimensional parabolic PDEs in finance
J. G. López-Salas, M. Suárez-Taboada, M. J. Castro +2
We present a novel and general methodology for building second-order finite volume implicit-explicit Runge-Kutta numerical schemes for solving two-dimensional financial parabolic P…
Global optimization for data assimilation in landslide tsunamis models
A. M. Ferreiro-Ferreiro, J. A. García-Rodríguez, J. G. López-Salas +2
The goal of this article is to make automatic data assimilation for a landslide tsunami model, given by the coupling between a non-hydrostatic multi-layer shallow-water and a Savag…
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…
A semi-implicit finite volume method for the Exner model of sediment transport
S. Avgerinos, M. J. Castro, E. Macca +1
The aim of this work is to construct efficient finite volume schemes for the numerical study of sediment transport in shallow water, in the framework of the Exner model.In most cas…
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…
On a class of two-dimensional incomplete Riemann solvers
José M. Gallardo, Kleiton A. Schneider, Manuel J. Castro
We propose a general class of genuinely two-dimensional incomplete Riemann solvers for systems of conservation laws. In particular, extensions of Balsara's multidimensional HLL sch…
Third and fourth order well-balanced schemes for the shallow water equations based on the CWENO reconstruction
Manuel J. Castro-Dìaz, Matteo Semplice
High order finite volume schemes for conservation laws are very useful in applications, due to their ability to compute accurate solutions on quite coarse meshes and with very few…
A well balanced diffuse interface method for complex nonhydrostatic free surface flows
Elena Gaburro, Manuel J. Castro, Michael Dumbser
In this paper we propose an efficient second order well balanced finite volume method for modeling complex free surface flows at the aid of a simple diffuse interface method. The e…
Well balanced Arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming meshes for the Euler equations of gasdynamics with gravity
Elena Gaburro, Manuel J. Castro, Michael Dumbser
In this work we present a novel second order accurate well balanced Arbitrary-Lagrangian-Eulerian (ALE) finite volume scheme on moving nonconforming meshes for the Euler equations…
Direct Arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes
Elena Gaburro, Michael Dumbser, Manuel J. Castro
In this paper, we present a novel second-order accurate Arbitrary-Lagrangian-Eulerian (ALE) finite volume scheme on moving nonconforming polygonal grids, in order to avoid the typi…
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…