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08/07/2023
The Levin approach to the numerical calculation of phase functions
The solutions of scalar ordinary differential equations become more comp...
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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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09/29/2022
Phase function methods for second order linear ordinary differential equations with turning points
It is well known that second order linear ordinary differential equation...
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11/15/2021
An 𝒪(1) algorithm for the numerical evaluation of the Sturm-Liouville eigenvalues of the spheroidal wave functions of order zero
In addition to being the eigenfunctions of the restricted Fourier operat...
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11/15/2021
On the numerical evaluation of the prolate spheroidal wave functions of order zero
We describe a method for the numerical evaluation of the angular prolate...
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04/23/2020
Rapid Application of the Spherical Harmonic Transform via Interpolative Decomposition Butterfly Factorization
We describe an algorithm for the application of the forward and inverse ...
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09/06/2019