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20112023
most citedRegularity theory and high order numerical methods for the (1d)-Fractional Laplacian

62 citations · 361 across the 34 of their papers we have counts for

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Showing 2021Show all

5 papers · 1 filter

math.NA2021

Massively Parallelized Interpolated Factored Green Function Method

Christoph Bauinger, Oscar P. Bruno

This paper presents the first parallel implementation of the novel "Interpolated Factored Green Function" (IFGF) method introduced recently for the accelerated evaluation of discre…

math.NA2021

FC-based shock-dynamics solver with neural-network localized artificial-viscosity assignment

Oscar P. Bruno, Jan S. Hesthaven, Daniel V. Leibovici

This paper presents a spectral scheme for the numerical solution of nonlinear conservation laws in non-periodic domains under arbitrary boundary conditions. The approach relies on…

math.NA2021★ 2 cited

A boundary integral method for 3D nonuniform dielectric waveguide problems via the windowed Green function

Emmanuel Garza, Constantine Sideris, Oscar P. Bruno

This paper proposes an efficient boundary-integral based "windowed Green function" methodology (WGF) for the numerical solution of three-dimensional electromagnetic problems contai…

physics.comp-ph2021★ 6 cited

Vector potential-based MHD solver for non-periodic flows using Fourier continuation expansions

Mauro Fontana, Pablo D. Mininni, Oscar P. Bruno +1

A high-order method to evolve in time electromagnetic and velocity fields in conducting fluids with non-periodic boundaries is presented. The method has a small overhead compared w…

cond-mat.mtrl-sci2021★ 3 cited

Fine Boundary--Layer structure in Linear Transport Theory

E. L. Gaggioli, D. M. Mitnik, O. P. Bruno

This contribution identifies and characterizes a previously unrecognized boundary--layer structure that occurs in the context of linear transport theory, with an impact on the fiel…