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math.NA2025★ 1 cited
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…
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…