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Mathematics

Students Publications

2022:

Bao, Yanyu, Jianing Chen, Lijun Zhang, and Mingji Zhang. "HIGHER ORDER EXPANSIONS IN FINITE ION SIZE VIA POISSON-NERNST-PLANCK SYSTEMS WITH BIKERMAN'S LOCAL HARD-SPHERE POTENTIAL."Journal of Applied Analysis & Computation 12, no. 3 (2022): 907-931.

Chen, Jianing, and Bixiang Wang. "Random attractors of supercritical wave equations driven by infinite-dimensional additive noise on\begin {document} $\mathbb {R}^ n $\end {document}." Discrete and Continuous Dynamical Systems-B (2022).

Chen, Jianing, and Mingji Zhang. "Boundary layer effects on ionic flows via Poisson-Nernst-Planck systems with nonuniform ion sizes." Discrete and Continuous Dynamical Systems-B (2022).

Chen, Jianing, and Mingji Zhang. "Geometric Singular Perturbation Approach to Poisson-Nernst-Planck Systems with Local Hard-Sphere Potential: Studies on Zero-Current Ionic Flows with Boundary Layers." Qualitative Theory of Dynamical Systems 21, no. 4 (2022): 1-33.

Chilleri, John, Poppy Siddiqua, Michael S. Shur, and Stephen K. O'Leary. "Cubic boron nitride as a material for future electron device applications: A comparative analysis." Applied Physics Letters 120, no. 12 (2022): 122105.

Chilleri, John, Yana Wang, Michael S. Shur, and Stephen K. O’Leary. "A low-field electron mobility analysis of cubic boron nitride." Solid State Communications 352 (2022): 114776.

Chilleri, John, Yana Wang, and Stephen K. O’Leary. "Threading dislocation lines and their impact on bulk cubic boron nitride’s low-field electron transport response." Solid State Communications 356 (2022): 114925.

2021:

Chen, Jianing, Yiwei Wang, Lijun Zhang, and Mingji Zhang. "Mathematical analysis of Poisson–Nernst–Planck models with permanent charges and boundary layers: studies on individual fluxes." Nonlinearity 34, no. 6 (2021): 3879.

Chilleri, John, Yanyan He, Dmitry Bedrov, and Robert M. Kirby. "Optimal allocation of computational resources based on Gaussian process: Application to molecular dynamics simulations." Computational Materials Science 188 (2021): 110178.

Chilleri, John, Yana Wang, Michael S. Shur, and Stephen K. O’Leary. "An improved empirical model for a semiconductor’s velocity-field characteristic applied to gallium arsenide." Solid State Communications 330 (2021): 114240.

Kropf, Gabriel, Chloë Bonamici, and Brian Borchers. "Updating the Fast Grain Boundary program: Temperature-time paths from intragrain oxygen isotope zoning." Computers & Geosciences 151 (2021): 104753.

2020:

Bates, Peter W., Jianing Chen, and Mingji Zhang. "Dynamics of ionic flows via Poisson-Nernst-Planck systems with local hard-sphere potentials: Competition between cations." Mathematical Biosciences and Engineering 17, no. 4 (2020): 3736-3766.

He, Yanyan, John Chilleri, Stephen K. O’Leary, Michael S. Shur, and Robert M. Kirby. "Sensitivity analysis for an electron transport system: application to the case of wurtzite gallium nitride." Journal of Computational Electronics 19, no. 1 (2020): 103-110.

2019:

Bonamici, Chloe E., Gabriel Kropf, Brian Borchers, and Gabriel Parrish. "Time-temperature paths from intragrain oxygen isotope zoning." InAGU 2019 Fall Meeting. 2019.

Hart, David, J. Santiago Rodriguez, Jonathan Burkhardt, Brian Borchers, Carl Laird, Regan Murray, Katherine Klise, and Terranna Haxton. "Quantifying hydraulic and water quality uncertainty to inform sampling of drinking water distribution systems." Journal of Water Resources Planning and Management 145, no. 1 (2019): 04018084.

2018:

Duncan-Miller, Gabrielle C., and William D. Stone. "Off-center blast in a shocked medium." Shock Waves 28, no. 4 (2018): 631-640.

2017:

Sameh A. Eisa, William Stone and Kevin Wedeward. Mathematical analysis of wind turbines dynamics under control limits: boundedness, existence, uniqueness, and multi time scale simulations. International Journal of Dynamics and Control (2017).

Jianbao Zhang, D. Acheampong and M. Zhang. Geometric singular approach to Poisson-Nernst-Planck models with excess chemical potentials: Ion size effects on individual fluxes. Molecular Based Mathematical Biology, 5(1) (2017), 58-77.

Sameh A. Eisa, and Waleed Lotfy. Image Compression Using Two Dimensional DCT and Least Squares Interpolation. Wireless Personal Communications, 1-15.

Sameh A. Eisa, William Stone and Kevin Wedeward. Mathematical Modeling, Stability, Bifurcation Analysis, and Simulations of a Type-3 DFIG Wind Turbine's Dynamics with Pitch Control. 2017 Ninth Annual IEEE Green Technologies Conference (GreenTech), 2017, pp. 334-341. doi:10.1109/GreenTech.2017.55.

Sameh A. Eisa, Kevin Wedeward, and William Stone. Time Domain Study of a Type-3 DFIG Wind Turbine's Dynamics: Q Drop Function Effect and Attraction VS Control Limits Analysis. 2017 Ninth Annual IEEE Green Technologies Conference (GreenTech), 2017, pp. 350-357. doi:10.1109/GreenTech.2017.57.

2016:


Sameh A. Eisa, Kevin Wedeward, and William Stone. Sensitivity Analysis of a type-3 DFAG Wind Turbine's Dynamics with Pitch Control. 2016 IEEE Green Energy and Systems Conference (IGESC), Pages1-6.

I. G. Avramidi and B. J. Buckman. Heat Determinant on Manifolds. Journal of Geometry and Physics, 104 (2016) 64-88, DOI:10.1016/j.geomphys.2016.02.004

S. M. Marrero, F. M. Phillips, B. Borchers, N. Lifton, R. Aumer, and G. Balco. Cosmogenic Nuclide Systematics and the CRONUScalc Program. Quaternary Geochronology, Vol. 31 (2016) 160-187. Elsevier.

Sung-ho Hong, Kathryn Lenth, Robert Aumer, Brian Borchers, and Jan MH Hendrickx. Spatial variability of SEBAL estimated root-zone soil moisture across scales. International Journal of Remote Sensing, 37.20, (2016) 4838--4853. Taylor and Francis.

2014:

S. Eisa, Numerical Curve Length Calculation Using Polynomial Interpolation, Journal of mathematical imaging and vision, 49.2 (2014): 377-383.

S. Eisa, Three audio CODECs using the LSM interpolation and comparison with PCM, British Journal of Mathematics & Computer Science 4.10 (2014): 1365-1380.

S. Eisa, Algorithms for solving linear, non-linear differential and differential-difference equations by approximating the solution to polynomials, International Journal of Computing Science and Mathematics 5.3 (2014): 236-251.

Margaret Snell, Anwar M. Hossain, Oleg Makhnin, and Snezna Rogelj. Inverse associations between parabens and obesity/diabetes in adults. Global Journal of Quantitative Science Vol. 1. No.4. December 2014 Issue, pp.1-7.

A. Krause, M. Lewis, B. Wang, Dynamics of the non-autonomous stochastic p-Laplace equation driven by multiplicative noise, Applied Mathematics and Computation, 246 (2014), 365-376.

B. J. Buckman and I. G. Avramidi, Heat Determinant on Manifolds, arXiv:1408.2265, 41 pages, Communications in Mathematical Physics (2014), submitted.

A. Krause and B. Wang, Pullback Attractors of Non-autonomous Stochastic Degenerate Parabolic Equations on Unbounded Domains, J. Mathematical Analysis and Applications, 417 (2014), 1018-1038.

2013:
A. Adili and B. Wang, Random attractors for stochastic FitzHugh-Nagumo systems driven by deterministic non-autonomous forcing, Continuous and Discrete Dynamical Systems Series B, 18 (2013), 643-666.

A. Adili and B. Wang, Random attractors for non-autonomous stochastic FitzHugh-Nagumo systems with multiplicative noise, Continuous and Discrete Dynamical Systems, Supplement (2013), 1-10.

R. Jones and B. Wang, Asymptotic behavior of a class of stochastic nonlinear wave equations with dispersive and dissipative terms, Nonlinear Analysis, Real World Applications, 14 (2013), 1308-1322.

U. Herzfeld, B. McDonald, B. Wallin, T. Neumann, T. Marcus, A. Brenner, and C. Field, An Algorithm for Detection of Ground and Canopy Cover in Micropulse Photon-Counting Lidar Altimeter Data in Preparation of the ICESat-2 Mission, IEEE Transactions on Geoscience and Remote Sensing, (2013).

B. Wallin, J. Mcleod, and R. Reiss, Bayesian hidden Markov modelling of local structure in RNA sequencing data (Poster), NMINBRE Genome Dynamics conference, 21-22 Mar, Santa Fe, New Mexico, (2013).

S. Eisa, Mathematical Modeling and Algorithms to Simulate The Economy's Behavior, Proceedings of the World Congress on Engineering 2013 Vol I, WCE 2013, July 3 - 5, 2013, London, U.K.

Gunter Leguy, Xylar Asay-Davis, William Lipscomb, Basal sliding parametrization in marine ice-sheet models (Poster), CESM (Climate Earth System Model) workshop, Breckenridge (CO), June 2013.

Gunter Leguy, Xylar Asay-Davis, William Lipscomb, Uncertainty quantification in ice-sheet models (Poster), Conference: MAA (Mathematical American Association), NMT, Socorro (NM), April 2013.

T. Sueyoshi, M. Goto, M. A. Snell, DEA environmental assessment: Measurement of damages to scale with unified efficiency under managerial disposability or environmental efficiency, Applied Mathematical Modelling, Volume 37, Issues 12-13, 1 July 2013, Pages 7300-7314.

2012:
I. G. Avramidi and S. Collopy, Thermal Yang-Mills theory in Einstein Universe, Journal of Physics A: Mathematical and Theoretical, 45 (2012) 374009

I. G. Avramidi and S. Collopy, Effective action and phase transitions in thermal Yang-Mills theory on spheres, Communications in Mathematical Physics 311 (2012) 713-753

2011:
U. Herzfeld, B. Wallin, C. Leuschen, and J. Plummer, An algorithm for generalizing topography to grids while preserving subscale morphologic characteristics-creating a glacier bed DEM for Jakobshavn trough as low-resolution input for dynamic ice-sheet models, Computers & Geosciences 37, no. 11 (2011): 1793-1801.

U. Herzfeld, B. Wallin, and M. Stachura, Applications of Geostatistics in Optimal Design of Satellite Altimetry Orbits and Measurement Configurations, The Journal of the Astronautical Sciences 58, no. 3 (2011): 495-511.

2010:
G. Fucci and I. G. Avramidi, On the gravitationally induced Schwinger mechanism, In: Proceedings of the International Conference "Quantum Field Theory under the Influence of External Conditions" (QFEXT09). Eds. K. A. Milton and M. Bordag (Singapore: World Scientific, 2010), pp. 485-491

B. Wang and R. Jones, Asymptotic behavior of a class of non-autonomous degenerate parabolic equations, Nonlinear Analysis TMA, 72 (2010), 3887-3902.

Kasimir Gabert and Bixiang Wang, Non-autonomous attractors for singularly perturbed parabolic equations on R^n, Nonlinear Analysis TMA, 73 (2010), 3336-3347.

K. Gabert and B. Wang, Non-autonomous attractors for singularly perturbed parabolic equations on R^n, Nonlinear Analysis TMA, 73 (2010), 3336-3347.

Jonathan R. Brown, John D. McCoy and Brian Borchers. Theory and simulation of the dynamic heat capacity of the east Ising model. The Journal of Chemical Physics, 133.6, p. 064508, 2010. AIP.

2009:
I. G. Avramidi and G. Fucci, Low-energy effective action in non-perturbative electrodynamics in curved spacetime, Journal of Mathematical Physics 50 (2009) 102302 .

I. G. Avramidi and G. Fucci, A model for the Pioneer anomaly, Canadian Journal of Physics 87 (2009) 1089-1093.

I. G. Avramidi and G. Fucci, Non-perturbative heat kernel asymptotics on homogeneous Abelian bundles, Communications in Mathematical Physics 291 (2009) 543-577.

I. G. Avramidi and G. Fucci, Kinematics in matrix gravity, General Relativity and Gravitation, 41 (2009) 1407-1435.

G. Fucci and I. G. Avramidi, Non-commutative corrections in spectral matrix gravity, Classical and Quantum Gravity 26 (2009) 045019.

G. Fucci, B. Wang and P. Singh, Asymptotic behavior of the Newton-Boussinesq equation in a two-dimensional channel, Nonlinear Analysis TMA, 70 (2009), 2000-2013.

B. Wang and X. Gao, Random attractors for wave equations on unbounded domains, Discrete and Continuous Dynamical Systems, Special(2009), 800-809.

2008:
G. Fucci and I. G. Avramidi, Non-commutative Einstein equations, Classical and Quantum Gravity, 25 (2008) 025005.

T. Trujillo and B. Wang, Continuity of strong solutions of the Reaction-Diffusion equation in initial data, Nonlinear Analysis TMA, 69 (2008), 2525-2532.

Bixiang Wang and Siyu Lin, Existence of global attractors for the three-dimensional Brinkman-Forchheimer equation, Mathematical Methods in the Applied Sciences, 31 (2008), 1479-1495.

B. Wang and S. Lin, Existence of global attractors for the three-dimensional Brinkman-Forchheimer equation, Mathematical Methods in the Applied Sciences, 31 (2008), 1479-1495.

2007:
B. Wang, D. W. Fussner and Ch. Bi. Existence of global attractors for the Benjamin-Bona-Mahony equation in unbounded domains, J. Phys. A, 40 (2007), 10491-10504.

Brian Borchers and Joseph G. Young. Implementation of a primal-dual method for SDP on a shared memory parallel architecture. Computational Optimization and Applications, 37.3, (2007) 355-369. Springer.

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