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08/01/2023
Random walks in frequency and the reconstruction of obstacles with cavities from multi-frequency data
Inverse obstacle scattering is the recovery of an obstacle boundary from...
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06/07/2023
Fast adaptive high-order integral equation methods for electromagnetic scattering from smooth perfect electric conductors
Many integral equation-based methods are available for problems of time-...
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05/18/2023
Uniform approximation of common Gaussian process kernels using equispaced Fourier grids
The high efficiency of a recently proposed method for computing with Gau...
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05/11/2023
A new version of the adaptive fast Gauss transform for discrete and continuous sources
We present a new version of the fast Gauss transform (FGT) for discrete ...
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12/23/2022
Integral formulation of Klein-Gordon singular waveguides
We consider the analysis of singular waveguides separating insulating ph...
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12/16/2022
A Neural Network Warm-Start Approach for the Inverse Acoustic Obstacle Scattering Problem
We consider the inverse acoustic obstacle problem for sound-soft star-sh...
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10/20/2022
On the robustness of inverse scattering for penetrable, homogeneous objects with complicated boundary
The acoustic inverse obstacle scattering problem consists of determining...
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10/18/2022
Equispaced Fourier representations for efficient Gaussian process regression from a billion data points
We introduce a Fourier-based fast algorithm for Gaussian process regress...
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01/18/2022
FMM-LU: A fast direct solver for multiscale boundary integral equations in three dimensions
We present a fast direct solver for boundary integral equations on compl...
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11/21/2021
FMM-accelerated solvers for the Laplace-Beltrami problem on complex surfaces in three dimensions
The Laplace-Beltrami problem on closed surfaces embedded in three dimens...
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09/14/2021
A fast, high-order numerical method for the simulation of single-excitation states in quantum optics
We consider the numerical solution of a nonlocal partial differential eq...
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05/25/2021
Debye source representation for type-I superconductors, I
In this note, we analyze the classical magneto-static approach to the th...
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04/27/2021
Multifrequency inverse obstacle scattering with unknown impedance boundary conditions using recursive linearization
We consider the reconstruction of the shape and the impedance function o...
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06/03/2020
Fast multipole methods for evaluation of layer potentials with locally-corrected quadratures
While fast multipole methods (FMMs) are in widespread use for the rapid ...
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02/07/2020
Recovering missing data in coherent diffraction imaging
In coherent diffraction imaging (CDI) experiments, the intensity of the ...
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01/15/2020
On the discretization of Laplace's equation with Neumann boundary conditions on polygonal domains
In the present paper we describe a class of algorithms for the solution ...
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09/29/2019
A fast boundary integral method for high-order multiscale mesh generation
In this work we present an algorithm to construct an infinitely differen...
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07/24/2019
On the solution of Laplace's equation in the vicinity of triple-junctions
In this paper we characterize the behavior of solutions to systems of bo...
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12/25/2017
Efficient Algorithms for t-distributed Stochastic Neighborhood Embedding
t-distributed Stochastic Neighborhood Embedding (t-SNE) is a method for ...
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11/09/2016