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27 papers · 2 filters
Model order reduction strategies for weakly dispersive waves
Davide Torlo, Mario Ricchiuto
We focus on the numerical modelling of water waves by means of depth averaged models. We consider in particular PDE systems which consist in a nonlinear hyperbolic model plus a lin…
Randomized block Gram-Schmidt process for solution of linear systems and eigenvalue problems
Oleg Balabanov, Laura Grigori
This article introduces randomized block Gram-Schmidt process (RBGS) for QR decomposition. RBGS extends the single-vector randomized Gram-Schmidt (RGS) algorithm and inherits its k…
Computation of the self-diffusion coefficient with low-rank tensor methods: application to the simulation of a cross-diffusion system
Jad Dabaghi, Virginie Ehrlacher, Christoph Strössner
Cross-diffusion systems arise as hydrodynamic limits of lattice multi-species interacting particle models. The objective of this work is to provide a numerical scheme for the simul…
Bound-Preserving Finite-Volume Schemes for Systems of Continuity Equations with Saturation
Rafael Bailo, José A. Carrillo, Jingwei Hu
We propose finite-volume schemes for general continuity equations which preserve positivity and global bounds that arise from saturation effects in the mobility function. In the ca…
Multi-center decomposition of molecular densities: a mathematical perspective
Robert Benda, Eric Cancès, Virginie Ehrlacher +1
The aim of this paper is to analyze from a mathematical perspective some existing schemes to partition a molecular density into several atomic contributions, with a specific focus…
Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix-fracture interfaces
Francesco Bonaldi, Jérôme Droniou, Roland Masson +1
We address the discretization of two-phase Darcy flows in a fractured and deformable porous medium, including frictional contact between the matrix-fracture interfaces. Fractures a…