Scholarship

List of publications

Please see the PDF files below for co-authors.

Inclusive Calculus: Active, Applied, and Inquiry-based Learning with Linked Workshop and First-Year Seminar, Justice Through the Lens of Calculus: Framing New Possibilities for Diversity, Equity, and Inclusion, MAA Notes (book chapter), to appear. arXiv.org
Titration, Engaging Students in Introductory Mathematics Courses Through Interdisciplinary Partnerships: the SUMMIT-P Model, MAA Notes, Volume 93, 2022. E-book
Equilibrium Energy and Entropy of Vortex Filaments in the Context of Tornadogenesis and Tornadic Flows, Open Journal of Fluid Dynamics, volume 13, number 3, June 2023. DOI: 10.4236/ojfd.2023.133012
Repellers for the Laguerre Iteration Function, Nonlinear Dynamics and Complexity (book chapter), 2022. DOI: 10.1007/978-3-031-06632-0_10
Vortex Gas Models for Tornadogenesis and Maintenance, New Trends in Physical Science Research Vol. 2 (book chapter), 2022. DOI: 10.9734/bpi/ntpsr/v2/2138B
Empirical Fitting of Periodically Repeating Environmental Data, Spora: A Journal of Biomathematics, 2021. DOI:10.30707/SPORA7.1.1647885542.965997
On the axisymmetric steady incompressible Beltrami flows, Open Journal of Fluid Dynamics, 2020. DOI:10.4236/ojfd.2020.103014
Possible implications of self-similarity for tornadogenesis and maintenance, AIMS Mathematics, special topic Mathematical Analysis in Fluid Dynamics, 2018. DOI:10.3934/Math.2018.3.365
MMS, Van Allen Probes, GOES 13, and Ground Based Magnetometer Observations of EMIC Wave Events Before, During, and After a Modest Interplanetary Shock, Journal of Geophysical Research--Space Physics, 2018. DOI:10.1029/2018JA025984
Applications of vortex gas models to tornadogenesis and maintenance, Open Journal of Fluid Dynamics, 2017. DOI:10.4236/ojfd.2017.74040
On the dynamics of Laguerre's iteration method for finding the nth roots of Unity, International Journal of Computational Mathematics, 2014. DOI:10.1155/2014/321585
Fractal powers in Serrin's swirling vortex solutions, Asymptotic Analysis, 2014. DOI: 10.3233/ASY-141228
Analysis of the quasi-nonlocal approximation of linear and circular chains in the plane, Multiscale Model. Simul., 2011. DOI: 10.1137/100806242
Modeling the behavior of heat-shrinkable thin films, J. Elasticity, 2009. DOI: 10.1007/s10659-009-9194-4
A stochastic model for PSA levels: behavior of solutions and population statistics, J. Math. Biol., 2006. DOI: 10.1007/s00285-006-0016-z
A finite element model for martensitic thin films, Calcolo, 2006. DOI: 10.1007/s10092-006-0120-x
The Γ-convergence of a sharp interface thin film model with non-convex elastic energy, SIAM J. Math. Anal., 2006. DOI: 10.1137/050622596
Resistivity Modeling of Array Laterolog Tools: An Application in an Offshore Norway Clastic Reservoir, SPE Reservoir Evaluation and Engineering, 2005. DOI: 10.2118/89072-PA
Computational modeling of softening in a structural phase transformation, Multiscale Model. Simul., 2005. DOI: 10.1137/040604339
A computational model for martensitic thin films with compositional fluctuation, M3AS, 2004. DOI: 10.1142/S021820250400374X
Numerical methods for martensitic phase transformation and microstructure, In Proceedings of the 20th Biennial Conference on Numerical Analysis, University of Dundee, 2003.
Approximation by piecewise constant functions in a BV metric, M3AS, 2003. DOI: 10.1142/S0218202503002556
A computational model for the indentation and phase transformation of a martensitic thin film, J. Mech. Phys. Solids, 2002. DOI: 10.1016/S0022-5096(02)00018-2
A total-variation surface energy model for thin films of martensitic crystals, Interfaces and Free Boundaries, 2002. DOI: 10.4171/IFB/53
On the numerical modeling of deformations of pressurized martensitic thin films, M2AN, 2001. DOI: 10.1051/m2an:2001101
Stability of microstructure for tetragonal to monoclinic martensitic transformations, M2AN, 2000. DOI: 10.1051/m2an:2000161
The State of Pure Shear, J. Elasticity, 1998. DOI: 10.1023/A:1007500316569

orcid.org/0000-0001-8455-4913