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

Publications

Filter publications

What type of publication do you want to show?

All

Journals

Conference papers

Chapters

Books

Other

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