- Systems of Differential Equations
- Mathematical Biology
- Industrial Mathematics
- Applied Mathematics
- Mathematical Modeling
- Publications in Modeling of Science and Engineering
- Off-Center Blast in a Shocked Medium; Duncan-Miller, G.C. & Stone, W. D. Shock Waves (2017). https://doi.org/10.1007/s00193-017-0747-3
- Analytical and numerical models of hydrothermal fluid flow at fault intersections, Person, M. et al, to appear, Geofluids, 2012. https://onlinelibrary.wiley.com/doi/pdf/10.1111/gfl.12002
- Field Line Resonance Measurements in the Inner Magnetosphere Using a Realistic Model of the Plasma Mass Density; J Duffy*, A. M. Jorgensen, W. D. Stone, E. Zesta, A. Boudouridis, P. J. Chi, M. B. Moldwin, P. Richards, under revision for J. Geophysical Research
- Mathematical Model of a Wind Turbine's Dynamics: Model review, Steady States, Stability Region, Sensitivity and Simulink simulations; S. A. Eisa*, K. Wedeward, W. D. Stone.
- Mathematical Analysis of Wind Turbines Dynamics Under Control Limits: Boundedness, Existence, Uniqueness, and Multi Time Scale Simulations; S. A. Eisa*, W. D. Stone, K. Wedeward; International Journal of Dynamics and Control; September 2018, Volume 6, Issue 3, pp 929-949
*student authors
- Ordinary Differential Equations: Systems, Discrete Models and Chaos, William Dean Stone, Linus Publications, 2008
- Bifurcation Theory in Finite Dimensions, William Dean Stone, New Mexico Tech Press, 2013
- The Wines of New Mexico: A Tasteful Journey, Christopher Sharples & William Dean Stone, 2015