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08/21/2023
On the Approximation of Singular Functions by Series of Non-integer Powers
In this paper, we describe an algorithm for approximating functions of t...
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01/10/2023
A Continuation Method for Fitting a Bandlimited Curve to Points in the Plane
In this paper, we describe an algorithm for fitting an analytic and band...
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12/20/2022
Polynomial interpolation in the monomial basis is stable after all
Polynomial interpolation in the monomial basis is often considered to be...
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11/24/2022
Phase function methods for second order inhomogeneous linear ordinary differential equations
It is well known that second order homogeneous linear ordinary different...
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11/24/2022
The adaptive Levin method
The Levin method is a classical technique for evaluating oscillatory int...
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08/22/2022
Rapid evaluation of Newtonian potentials on planar domains
The accurate and efficient evaluation of Newtonian potentials over gener...
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05/30/2022
Fast Computation of Electrostatic Potentials for Piecewise Constant Conductivities
We present a novel numerical method for solving the elliptic partial dif...
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05/09/2022
Accelerating potential evaluation over unstructured meshes in two dimensions
The accurate and efficient evaluation of potentials is of great importan...
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05/02/2022
A high-order deferred correction method for the solution of free boundary problems using penalty iteration, with an application to American option pricing
This paper presents a high-order deferred correction algorithm combined ...
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04/27/2021
On the Evaluation of the Eigendecomposition of the Airy Integral Operator
The distributions of random matrix theory have seen an explosion of inte...
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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