research
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03/12/2023
Wavelet Galerkin Method for an Electromagnetic Scattering Problem
The Helmholtz equation is challenging to solve numerically due to the po...
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12/14/2021
Sixth Order Compact Finite Difference Method for 2D Helmholtz Equations with Singular Sources and Reduced Pollution Effect
Due to its highly oscillating solution, the Helmholtz equation is numeri...
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12/09/2020
Wavelets on Intervals Derived from Arbitrary Compactly Supported Biorthogonal Multiwavelets
(Bi)orthogonal (multi)wavelets on the real line have been extensively st...
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11/02/2020
Dirac Assisted Tree Method for 1D Heterogeneous Helmholtz Equations with Arbitrary Variable Wave Numbers
In this paper we introduce a method called Dirac Assisted Tree (DAT), wh...
research
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09/26/2019