11 citations · 30 across the 19 of their papers we have counts for
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math.NA2019★ 2 cited
A quasilinear complexity algorithm for the numerical simulation of scattering from a two-dimensional radially symmetric potential
James Bremer
Standard solvers for the variable coefficient Helmholtz equation in two spatial dimensions have running times which grow quadratically with the wavenumber . Here, we describe a…
math.NA2019
An O(1) Algorithm for the Numerical Evaluation of the Prolate Spheroidal Wave Functions of Order 0
Xinge Zhang, James Bremer
The standard algorithm for the numerical evaluation of the prolate spheroidal wave function of order , bandlimit and characteristic…
math.NA2019★ 2 cited
Fast Algorithms for the Multi-dimensional Jacobi Polynomial Transform
James Bremer, Qiyuan Pang, Haizhao Yang
We use the well-known observation that the solutions of Jacobi's differential equation can be represented via non-oscillatory phase and amplitude functions to develop a fast algori…