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06/23/2023
On particular solutions of linear partial differential equations with polynomial right-hand-sides
This paper introduces general methodologies for constructing closed-form...
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06/22/2023
Reflectionless discrete perfectly matched layers for higher-order finite difference schemes
This paper introduces discrete-holomorphic Perfectly Matched Layers (PML...
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03/25/2023
Combined field-only boundary integral equations for PEC electromagnetic scattering problem in spherical geometries
We analyze the well posedness of certain field-only boundary integral eq...
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09/08/2022
High-order numerical evaluation of volume potentials via polynomial density interpolation
This short note outlines a simple numerical method for the high-order nu...
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05/23/2022
Windowed Green function method for wave scattering by periodic arrays of 2D obstacles
This paper introduces a novel boundary integral equation (BIE) method fo...
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10/09/2020
General-purpose kernel regularization of boundary integral equations via density interpolation
This paper presents a general high-order kernel regularization technique...
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07/24/2020
