3 papers
math.NA2026
Fast high-order solvers for the Lippmann--Schwinger equation in piecewise-smooth heterogeneous media
Thomas G. Anderson, Juan Burbano-Gallegos, Luiz M. Faria +1
This article presents a fast, high-order Nyström solver for the two-dimensional Lippmann--Schwinger equation arising from time-harmonic scattering by penetrable, piecewise-smooth h…
math.NA2026
A general-purpose global regularization method for 3D volume integral operators
Thomas G. Anderson, Marc Bonnet, Luiz M. Faria +1
Singular volume integral operators associated with constant-coefficient partial differential operators extend the applicability of potential theory to inhomogeneous problems, for e…
math.NA2018
High-order, Dispersionless "Fast-Hybrid" Wave Equation Solver. Part I: Sampling Cost via Incident-Field Windowing and Recentering
Thomas G. Anderson, Oscar P. Bruno, Mark Lyon
This paper proposes a frequency/time hybrid integral-equation method for the time dependent wave equation in two and three-dimensional spatial domains. Relying on Fourier Transform…