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08/24/2023
A highly efficient and accurate divergence-free spectral method for curl-curl equation in two and three dimensions
In this paper, we present a fast divergence-free spectral algorithm (FDS...
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03/09/2023
Müntz ball polynomials and Müntz spectral-Galerkin methods for singular eigenvalue problems
In this paper, we introduce a new family of orthogonal systems, termed a...
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04/19/2022
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions
In this paper, we develop a Monte Carlo method for solving PDEs involvin...
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09/10/2020
On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes
We derive exact form of the piecewise-linear finite element stiffness ma...
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07/16/2020
On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for fractional Allen-Cahn equation
In this paper, we study diagonal dominance of the stiffness matrix resul...
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08/27/2019