The nonlinear eigenvalue problem

S Güttel, F Tisseur - Acta Numerica, 2017 - cambridge.org
Nonlinear eigenvalue problems arise in a variety of science and engineering applications,
and in the past ten years there have been numerous breakthroughs in the development of …

Efficient computation of Sommerfeld integral tails–methods and algorithms

KA Michalski, JR Mosig - Journal of Electromagnetic Waves and …, 2016 - Taylor & Francis
A review is presented of the most effective methods for the computation of Sommerfeld
integral tails. Such integrals, which are often oscillatory, singular and divergent, commonly …

Single-ancilla ground state preparation via Lindbladians

Z Ding, CF Chen, L Lin - Physical Review Research, 2024 - APS
We design a quantum algorithm for ground state preparation in the early fault tolerant
regime. As a Monte Carlo style quantum algorithm, our method features a Lindbladian …

The mpEDMD algorithm for data-driven computations of measure-preserving dynamical systems

MJ Colbrook - SIAM Journal on Numerical Analysis, 2023 - SIAM
Koopman operators globally linearize nonlinear dynamical systems and their spectral
information is a powerful tool for the analysis and decomposition of nonlinear dynamical …

Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems

MJ Colbrook, A Townsend - Communications on Pure and …, 2024 - Wiley Online Library
Koopman operators are infinite‐dimensional operators that globally linearize nonlinear
dynamical systems, making their spectral information valuable for understanding dynamics …

An even lighter QCD axion

L Di Luzio, B Gavela, P Quilez, A Ringwald - Journal of High Energy …, 2021 - Springer
A bstract We explore whether the axion which solves the strong CP problem can naturally be
much lighter than the canonical QCD axion. The\({Z} _ {\mathcal {N}}\) symmetry proposed …

[BOG][B] MATLAB guide

DJ Higham, NJ Higham - 2016 - SIAM
MATLAB® 1 is an interactive system for numerical computation. Numerical analyst Cleve
Moler wrote the initial Fortran version of MATLAB in the late 1970s as a teaching aid. It …

Topological framework for directional amplification in driven-dissipative cavity arrays

CC Wanjura, M Brunelli, A Nunnenkamp - Nature communications, 2020 - nature.com
Directional amplification, in which signals are selectively amplified depending on their
propagation direction, has attracted much attention as key resource for applications …

Modeling electromagnetic resonators using quasinormal modes

PT Kristensen, K Herrmann, F Intravaia… - Advances in Optics and …, 2020 - opg.optica.org
We present a biorthogonal approach for modeling the response of localized electromagnetic
resonators using quasinormal modes, which represent the natural, dissipative eigenmodes …

Numerical evaluation of two and three parameter Mittag-Leffler functions

R Garrappa - SIAM Journal on Numerical Analysis, 2015 - SIAM
The Mittag-Leffler (ML) function plays a fundamental role in fractional calculus but very few
methods are available for its numerical evaluation. In this work we present a method for the …