2 papers
math.AP2026
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…
math.NA2025
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…