It is well known that second order linear ordinary differential equations with slowly varying
coefficients admit slowly varying phase functions. This observation is the basis of the …

This paper is dedicated to the efficient numerical computation of solutions to the 1D
stationary Schrödinger equation in the highly oscillatory regime. We compute an …

This article proposes numerical algorithms for solving second-order and telegraph linear
partial differential equations using a matrix approach that employs certain generalized …

Oscillatory second order linear ordinary differential equations arise in many scientific
calculations. Because the running times of standard solvers increase linearly with frequency …

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 …

In this thesis, I explore two new arenas of gravitational-wave physics and advance them from
both data-analysis and theoretical perspectives. I probe the nature of the remnant of a …

A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019 Page 1
A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019 Nelson …