2 papers
math.NA2022
An explicit exponential time integrator based on Faber polynomials and its application to seismic wave modelling
Fernando V. Ravelo, Pedro S. Peixoto, Martin Schreiber
Exponential time integrators have been applied successfully in several physics-related differential equations. However, their application in hyperbolic systems with absorbing bound…
math.NA2022
On pointwise error estimates for Voronoï-based finite volume methods for the Poisson equation on the sphere
Leonardo A. Poveda, Pedro Peixoto
In this paper, we give pointwise estimates of a Voronoï-based finite volume approximation of the Laplace-Beltrami operator on Voronoï-Delaunay decompositions of the sphere. These e…