Since its birth in the 1920s, quantum mechanics has motivated and advanced the analysis of
linear operators. In this effort, it significantly contributed to the development of sophisticated …

In a thermoacoustic system, such as a flame in a combustor, heat release oscillations couple
with acoustic pressure oscillations. If the heat release is sufficiently in phase with the …

We compute the quasi-bound state spectra of ultralight scalar and vector fields around
rotating black holes. These spectra are determined by the gravitational fine structure …

Since the early 1980. the first author has taught a graduate course in numerical linear
algebra at MIT and Cornell. The alumni of this course, now numbering in the hundreds, have …

This document describes slePc, the Scalable Library for Eigenvalue Problem Computations,
a software package for the solution of large sparse eigenproblems on parallel computers. It …

Understanding and predicting plasma turbulence in the scrape-off layer of a magnetic
confinement fusion device is a key open problem in modern plasma physics. The transitional …

In this paper, an advanced computational method is proposed, whose aim is to obtain an
approximately optimal design of a particular class of acoustic metamaterials, by means of a …

This contribution presents the acoustical properties and corresponding theoretical
descriptions of a Helmholtz resonator with an integrated cantilever inside the Helmholtz …

We present a method for solving nonlinear eigenvalue problems (NEPs) using rational
approximation. The method uses the Antoulas–Anderson algorithm (AAA) of Nakatsukasa …

We numerically investigate free and self-interacting ultralight scalar fields around black
holes in General Relativity. We focus on complex scalar fields Φ whose self-interactions are …