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02/16/2023
Polynomial and rational measure modifications of orthogonal polynomials via infinite-dimensional banded matrix factorizations
We describe fast algorithms for approximating the connection coefficient...
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11/22/2022
Representations of the symmetric group are decomposable in polynomial time
We introduce an algorithm to decompose orthogonal matrix representations...
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11/13/2022
Orthogonal polynomials on a class of planar algebraic curves
We construct bivariate orthogonal polynomials (OPs) on algebraic curves ...
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10/15/2022
A sparse spectral method for fractional differential equations in one-spacial dimension
We develop a sparse spectral method for a class of fractional differenti...
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09/02/2021
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension
We present a numerical approach for computing attractive-repulsive power...
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12/21/2020
Sparse spectral methods for partial differential equations on spherical caps
In recent years, sparse spectral methods for solving partial differentia...
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11/21/2020
Orthogonal polynomials on planar cubic curves
Orthogonal polynomials in two variables on cubic curves are considered, ...
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10/30/2020
Computing Equilibrium Measures with Power Law Kernels
We introduce a method to numerically compute equilibrium measures for pr...
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06/25/2019
Orthogonal polynomials in and on a quadratic surface of revolution
We present explicit constructions of orthogonal polynomials inside quadr...
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06/19/2019
