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12/13/2022
An adaptive spectral method for oscillatory second-order linear ODEs with frequency-independent cost
We introduce an efficient numerical method for second order linear ODEs ...
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09/18/2021
Quadrature by fundamental solutions: kernel-independent layer potential evaluation for large collections of simple objects
Well-conditioned boundary integral methods for the solution of elliptic ...
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02/16/2021
cuFINUFFT: a load-balanced GPU library for general-purpose nonuniform FFTs
Nonuniform fast Fourier transforms dominate the computational cost in ma...
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10/12/2020
Efficient high-order accurate Fresnel diffraction via areal quadrature and the nonuniform FFT
We present a fast algorithm for computing the diffracted field from arbi...
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04/20/2020
How exponentially ill-conditioned are contiguous submatrices of the Fourier matrix?
We show that the condition number of any cyclically contiguous p× q subm...
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10/22/2019
Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping
The method of Helsing and co-workers evaluates Laplace and related layer...
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08/21/2018