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04/02/2023
Error estimates for Gaussian beams at a fold caustic
In this work we show an error estimate for a first order Gaussian beam a...
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10/07/2022
Corrected Trapezoidal Rule-IBIM for linearized Poisson-Boltzmann equation
In this paper, we solve the linearized Poisson-Boltzmann equation, used ...
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08/17/2022
Convergence of a class of high order corrected trapezoidal rules
We present convergence theory for corrected quadrature rules on uniform ...
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05/24/2022
Extensions and Analysis of an Iterative Solution of the Helmholtz Equation via the Wave Equation
In this paper we extend analysis of the WaveHoltz iteration – a time-dom...
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05/24/2022
El-WaveHoltz: A Time-Domain Iterative Solver for Time-Harmonic Elastic Waves
We consider the application of the WaveHoltz iteration to time-harmonic ...
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03/09/2022
High order corrected trapezoidal rules for a class of singular integrals
We present a family of high order trapezoidal rule-based quadratures for...
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08/21/2021
Heterogeneous multiscale methods for the Landau-Lifshitz equation
In this paper, we present a finite difference heterogeneous multiscale m...
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07/03/2021
Corrected trapezoidal rules for singular implicit boundary integrals
We present new higher-order quadratures for a family of boundary integra...
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04/07/2021
Upscaling errors in Heterogeneous Multiscale Methods for the Landau-Lifshitz equation
In this paper, we consider several possible ways to set up Heterogeneous...
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12/23/2020
Homogenization of the Landau-Lifshitz equation
In this paper, we consider homogenization of the Landau-Lifshitz equatio...
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10/22/2019
WaveHoltz: Iterative Solution of the Helmholtz Equation via the Wave Equation
A new idea for iterative solution of the Helmholtz equation is presented...
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08/20/2019