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07/28/2023
A fast procedure for the construction of quadrature formulas for bandlimited functions
We introduce an efficient scheme for the construction of quadrature rule...
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07/26/2023
Finding roots of complex analytic functions via generalized colleague matrices
We present a scheme for finding all roots of an analytic function in a s...
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04/25/2021
On the Efficient Evaluation of the Azimuthal Fourier Components of the Green's Function for Helmholtz's Equation in Cylindrical Coordinates
In this manuscript, we develop an efficient algorithm to evaluate the az...
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02/24/2021
A Provably Componentwise Backward Stable O(n^2) QR Algorithm for the Diagonalization of Colleague Matrices
The roots of a monic polynomial expressed in a Chebyshev basis are known...
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07/30/2020
A fast adaptive algorithm for scattering from a two dimensional radially-symmetric potential
In the present paper we describe a simple black box algorithm for effici...
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07/30/2020
On the inverse scattering problem for radially-symmetric domains in two dimensions
In the present paper we describe a method for solving inverse problems f...
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07/08/2019
A fast simple algorithm for computing the potential of charges on a line
We present a fast method for evaluating expressions of the form u_j = ∑...
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11/14/2017