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08/01/2023
A Dual-space Multilevel Kernel-splitting Framework for Discrete and Continuous Convolution
We introduce a new class of multilevel, adaptive, dual-space methods for...
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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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05/11/2023
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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11/26/2022
An FMM Accelerated Poisson Solver for Complicated Geometries in the Plane using Function Extension
We describe a new, adaptive solver for the two-dimensional Poisson equat...
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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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09/22/2022
Eliminating artificial boundary conditions in time-dependent density functional theory using Fourier contour deformation
We present an efficient method for propagating the time-dependent Kohn-S...
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09/14/2022
Robust ab initio solution of the cryo-EM reconstruction problem at low resolution with small data sets
Single particle cryo-electron microscopy has become a critical tool in s...
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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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11/01/2021
Periodic Fast Multipole Method
A new scheme is presented for imposing periodic boundary conditions on u...
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01/18/2021
A fast spectral method for electrostatics in doubly-periodic slit channels
We develop a fast method for computing the electrostatic energy and forc...
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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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01/16/2020
A high-order integral equation-based solver for the time-dependent Schrodinger equation
We introduce a numerical method for the solution of the time-dependent S...
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10/02/2019
Fast integral equation methods for linear and semilinear heat equations in moving domains
We present a family of integral equation-based solvers for the linear or...
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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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06/10/2019