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Faculty Publications – Mathematics

Recent Scholarly Publications and Presentations

Publications from the last three years are presented yearly, in alphabetical order by first author. Names of Monmouth University faculty are in bold font and names of undergraduate co-authors are asterisked.


Turner L.E. “Cultivating a research imperative: Mentoring mathematics at Stockholms Högskola, 1882–1887,” 2020, Historia Mathematica, 50, 50–83, DOI: 10.1016/

Benson J., Valiquette F., “Geometric curve flows in low dimensional Cayley-Klein geometries,” 2020, Journal of Integrable Systems, 5, xyaa003, DOI: 10.1093/integr/xyaa003.

Bihlo A., Jackman J., Valiquette F., “On the development of symmetry-preserving finite element schemes for ordinary differential equations,” 2020, Journal of Computational Dynamics, 7, 339-368, DOI: 10.3934/jcd.2020014.

Benson J., Valiquette F., “Discrete curve flows in two-dimensional Cayley-Klein geometries,” 2020, CRM Series on Mathematical Physics, DOI: 10.1007/978-3-030-55777-5_15.


Kravitz A., Davis G., Bastian R.P., Fittipaldi K., “Outcome and Prognostic Indicators for Hemangiopericytomas in Dogs: 167 Cases (2009–2016),” 2019, Journal of the American Animal Hospital Association, 55, 194-200, DOI: 10.5326/JAAHA-MS-6807

M.T., Cline M.G., Bartges J. W., Felty E., Saker K.E., Bastian R., Witzel A.L., “Quantified water intake in laboratory cats from still, free-falling and circulating water bowls, and its effects on selected urinary parameters,” 2019, Journal of Feline Medicine and Surgery, 21, 682–690, DOI: 10.1177/1098612X18803753.

Boden H.U., Chrisman M., Gaudreau R., “Virtual Knot Cobordism and Bounding the Slice Genus,” 2019, Experimental Mathematics, 28, 475-491, DOI: 10.1080/10586458.2017.1422160

Darmon D., Cellucci C.J., Rapp P.E., “Information dynamics with confidence: Using reservoir computing to construct confidence intervals for information-dynamic measures,” 2019, Chaos, 29, 083113, DOI: 10.1063/1.5100742

Trongnetrpunya A., Rapp P., Wang C., Darmon D., Costanzo M.E., Nathan D.E., Roy M.J., Cellucci C.J., Keyser D., “Single-Trial Mechanisms Underlying Changes in Averaged P300 ERP Amplitude and Latency in Military Service Members After Combat Deployment,” 2019, Frontiers in Human Neuroscience, 13, 377, DOI: 10.3389/fnhum.2019.00377

Liu B., Tang D., “Influence of Distal Stenosis on Blood Flow Through Coronary Serial Stenoses: A Numerical Study,” 2019, International Journal of Computational Methods, 16, 1842003, DOI: 10.1142/S0219876218420033

Turner L.E., “Cultivating a research imperative: Mentoring mathematics at Stockholms Högskola, 1882–1887,” 2019, Historia Mathematica, DOI: 10.1016/

Benson J., Valiquette F., “Invariant discrete flows,” 2019, Studies in Applied Mathematics, 143, 81-119, DOI: 10.1111/sapm.12270

Bihlo A., Valiquette F., “Symmetry-preserving finite element schemes: An introductory investigation?,” 2019, SIAM Journal on Scientific Computing, 41, A3300-A3325, DOI: 10.1137/18M1177524


Darmon D., Rand W., Girvan M., “Computational landscape of user behavior on social media,” 2018, Physical Review E, 98, 062306, DOI: 10.1103/PhysRevE.98.062306



Cited in accordance with: Council of Science Editors Documentation (CSE)

For further faculty publications refer to the ‘Meet Our Faculty and Staff’ page for the Mathematics Department