Dr Katie Madine

Postdoctoral Research Associate in Applied Mathematics
Mathematical Sciences

Part of
School of Physical Sciences
Faculty of Science and Engineering

Contact

K.Madine@liverpool.ac.uk

Research outputs

Filter research outputs

What type of research output do you want to show?

All

Journal

Preprint

Thesis / Dissertation

2025

Discrete Euler–Bernoulli beam lattices with beyond nearest connections

Edge, R. G., Paul, E., Madine, K. H., Colquitt, D. J., Starkey, T. A., & Chaplain, G. J. (2025). Discrete Euler–Bernoulli beam lattices with beyond nearest connections. New Journal of Physics, 27(2), 023007. doi:10.1088/1367-2630/adaf50

DOI: 10.1088/1367-2630/adaf50
: Journal article

2024

Discrete Euler-Bernoulli Beam Lattices with Beyond Nearest Connections

: Preprint

The perpendicular gyroscope: modal analysis of plate, beam and gyroscope multistructures

Madine, K., & Colquitt, D. (2024). The perpendicular gyroscope: modal analysis of plate, beam and gyroscope multistructures. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 382(2279). doi:10.1098/rsta.2023.0358

DOI: 10.1098/rsta.2023.0358
: Journal article

2023

Wave Propagation in Flexural Systems

Madine, K. (2023, November 9). Wave Propagation in Flexural Systems.

: Thesis / Dissertation

2022

Negative refraction and mode trapping of flexural-torsional waves in elastic lattices

Madine, K. H., & Colquitt, D. J. (2022). Negative refraction and mode trapping of flexural-torsional waves in elastic lattices. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 380(2237). doi:10.1098/rsta.2021.0379

DOI: 10.1098/rsta.2021.0379
: Journal article

2021

DYNAMIC GREEN'S FUNCTIONS IN DISCRETE FLEXURAL SYSTEMS

Madine, K. H., & Colquitt, D. J. (2021). DYNAMIC GREEN'S FUNCTIONS IN DISCRETE FLEXURAL SYSTEMS. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 74(3), 323-350. doi:10.1093/qjmam/hbab006

DOI: 10.1093/qjmam/hbab006
: Journal article

2020

Dynamic Green's functions in discrete flexural systems

DOI: 10.48550/arxiv.2010.04722
: Preprint