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09/10/2023
Compressing the memory variables in constant-Q viscoelastic wave propagation via an improved sum-of-exponentials approximation
Earth introduces strong attenuation and dispersion to propagating waves....
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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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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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06/22/2022
A stable, efficient scheme for 𝒞^n function extensions on smooth domains in ℝ^d
A new scheme is proposed to construct a 𝒞^n function extension for smoot...
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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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02/06/2021
Solving Fredholm second-kind integral equations with singular right-hand sides on non-smooth boundaries
A numerical scheme is presented for the solution of Fredholm second-kind...
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05/28/2020
On time-domain NRBC for Maxwell's equations and its application in accurate simulation of electromagnetic invisibility cloaks
In this paper, we present analytic formulas of the temporal convolution ...
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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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09/21/2019
A fast Gauss transform in one dimension using sum-of-exponentials approximations
We present a fast Gauss transform in one dimension using nearly optimal ...
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06/28/2019
Evaluation of Abramowitz functions in the right half of the complex plane
A numerical scheme is developed for the evaluation of Abramowitz functio...
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04/15/2019