1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NA2023★ 1 cited
A solver for linear scalar ordinary differential equations whose running time is bounded independent of frequency
Murdock Aubry, James Bremer
When the eigenvalues of the coefficient matrix for a linear scalar ordinary differential equation are of large magnitude, its solutions exhibit complicated behaviour, such as high-…
math.NA2023
A frequency-independent solver for systems of first order linear ordinary differential equations
Tony Hu, James Bremer
When a system of first order linear ordinary differential equations has eigenvalues of large magnitude, its solutions exhibit complicated behaviour, such as high-frequency oscillat…
math.NA2023
The Levin approach to the numerical calculation of phase functions
Murdock Aubry, James Bremer
The solutions of scalar ordinary differential equations become more complex as their coefficients increase in magnitude. As a consequence, when a standard solver is applied to such…