12 citations · 18 across the 3 of their papers we have counts for
3 papers
math.NA2026
Unifying Finite Differences and Semi-Lagrangian Schemes via Localized Matrix Exponentials
Víctor Bayona
We present a unified framework for the construction of localized exponential integrators that bypasses the traditional trade-off between the accuracy of global spectral methods and…
math.NA2024★ 6 cited
A Meshfree RBF-FD Constant along Normal Method for Solving PDEs on Surfaces
Víctor Bayona, Argyrios Petras, Cécile Piret +1
This paper introduces a novel meshfree methodology based on Radial Basis Function-Finite Difference (RBF-FD) approximations for the numerical solution of partial differential equat…
math.NA2021★ 12 cited
An unfitted radial basis function generated finite difference method applied to thoracic diaphragm simulations
Igor Tominec, Pierre-Frederic Villard, Elisabeth Larsson +2
The thoracic diaphragm is the muscle that drives the respiratory cycle of a human being. Using a system of partial differential equations (PDEs) that models linear elasticity we co…