2 citations · 3 across the 3 of their papers we have counts for
4 papers
Weakly-singular formulation of the Fractional Laplacian operator
Oscar P. Bruno, Sabhrant Sachan
This paper presents a new formulation of the fractional Laplacian operator in -dimensional space (). The proposed formulation expresses as a compositi…
Efficient time-domain scattering synthesis via frequency-domain singularity subtraction
Oscar P. Bruno, Manuel A. Santana
Fourier transform-based methods enable accurate, dispersion-free simulations of time-domain scattering problems by evaluating solutions to the Helmholtz equation at a discrete set…
Fast Singular-Kernel Convolution on General Non-Smooth Domains via Truncated Fourier Filtering
Oscar Bruno, Jinghao Cao
The rapid and accurate evaluation of convolutions with singular kernels plays crucial roles in a wide range of scientific and engineering applications. Building on the recently int…
Evaluation of resonances: adaptivity and AAA rational approximation of randomly scalarized boundary integral resolvents
Oscar P. Bruno, Manuel A. Santana, Lloyd N. Trefethen
This paper presents a novel algorithm, based on use of rational approximants of a randomly scalarized boundary integral resolvent in conjunction with an adaptive search strategy an…