Dave Amundsen, Carleton University

Research

Read how they describe their research on their Carleton University profile.

Latest papers

Radial positive solutions for mixed local and nonlocal supercritical Neumann problem
Nonlinear Analysis · 2025 · first author
Resonant oscillation of surface waves in an annular tank
Physics of Fluids · 2025 · senior author
Asymptotic analysis of periodic solutions of the seasonal SIR model
Physica D Nonlinear Phenomena · 2023 · senior author

All 29 publications

29 publications.

01

Radial positive solutions for mixed local and nonlocal supercritical Neumann problem

David E. Amundsen, Abbas Moameni, Remi Yvant Temgoua

Nonlinear Analysis20253 citationsFirst author

DOI: 10.1016/j.na.2025.113763

02

Resonant oscillation of surface waves in an annular tank

Benjamin S. Cheng, David E. Amundsen

Physics of Fluids2025Senior author

DOI: 10.1063/5.0260089

03

Asymptotic analysis of periodic solutions of the seasonal SIR model

Lucas Finney, David E. Amundsen

Physica D Nonlinear Phenomena20236 citationsSenior author

DOI: 10.1016/j.physd.2023.133996

04

Asymptotic Analysis of Periodic Solutions of the Seasonal Sir Model

Lucas Finney, David E. Amundsen

SSRN Electronic Journal2023Senior authorOpen Access

DOI: 10.2139/ssrn.4496658

05

On the transition between continuous and shocked solutions for resonant gas oscillations in the frustum of a closed cone

David E. Amundsen, Michael P. Mortell, Brian R. Seymour

Journal of Fluid Mechanics20222 citationsFirst authorOpen Access

DOI: 10.1017/jfm.2022.88

06

Resonances in bounded media: Nonlinear and boundary effects

Taqi A. M. Shatnawi, David E. Amundsen

Studies in Applied Mathematics2019Senior author

DOI: 10.1111/sapm.12274

07

Stability analysis for a fully discrete spectral scheme for Boussinesq systems

Juliana Castanon Xavier, Mauro Antonio Rincon, Daniel G. Alfaro Vigo, David E. Amundsen

Applicable Analysis201711 citationsSenior author

DOI: 10.1080/00036811.2017.1281405

08

Resonant oscillations in open axisymmetric tubes

David E. Amundsen, Michael P. Mortell, Brian R. Seymour

Zeitschrift für angewandte Mathematik und Physik20178 citationsFirst author

DOI: 10.1007/s00033-017-0888-3

09

Resonances in Bounded Media

David E. Amundsen

Studies in Applied Mathematics20175 citationsFirst author

DOI: 10.1111/sapm.12181

10

A Step-by-Step Procedure for Local Analysis of Differential Equations

Alexander Maslov, David E. Amundsen

arXiv (Cornell University)2017Senior authorOpen Access

DOI: 10.48550/arxiv.1710.01682

Frequent collaborators

School of Mathematics and Statistics
Mathematics and Statistics, School of
Psychiatry

Co-authors at Carleton University, colored by department. Thicker lines mean more shared papers; select anyone to open their profile and their own map.

David Amundsen

Mathematics and Statistics, School of

29 shared papers, latest 2025

J. Fedoroff

Psychiatry

1 shared papers, latest 2009

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Subject: Prospective PhD student Dear Professor Amundsen, My name is [your name], and I am a [your current degree or role] at [your institution]. I am applying for a PhD position starting in [term and year]. I read your paper "Radial positive solutions for mixed local and nonlocal supercritical Neumann problem" (2025), and it connects closely to my own work on [your research topic]. [One or two sentences on what you did and what you learned.] Are you accepting new PhD students for [term and year]? I have attached my CV and transcripts, and I would be glad to talk at a time that suits you. Thank you for your time. Kind regards, [your name]