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math.NA2026
"Truncated Fourier Filtering" method for fast and high-order evaluation of integrals and convolutions in general domains
Oscar P. Bruno, Ambuj Pandey, Krishna Y. Poojara
This paper introduces and analyzes a novel algorithm---Truncated Fourier Filtering (TFF)---for the fast, high-order accurate evaluation of standard integrals and convolutions invol…
math.NA2026
Two Dimensional Fourier Continuation for Domains with Corners
Oscar P. Bruno, Allen Yang
This paper presents a fast "two-dimensional Fourier Continuation" (2D-FC) method for the construction of biperiodic extensions of smooth, non-periodic functions defined over genera…