Recent Faculty Publications (Highlighted)
Published/Accepted In 2022:
Arbic* P. R., Bukshtynov, V. On Reconstruction of Binary Images by Efficient Sample-based Parameterization in Applications for Electrical Impedance Tomography, International Journal of Computer Mathematics (2022),
Demirci, S., Sahin, E., Gaye, T., & Marcinkowski, T. (2022). Pre-service teachers’ beliefs on human population growth in the context of education for sustainable development: Development and validation of an instrument. Journal of Teacher Education for Sustainability, 23, 121-142.
Gibbs. A. & Park, J. (2022). Unboxing Mathematics: Creating a culture of modeling as critic. Educational Studies in Mathematics. DOI:
Hajaiej, H., Perera, K. Ground state and least positive energy solutions of elliptic problems involving mixed fractional p-Laplacians Differential Integral Equations 35 (2022), no. 3-4, 173-190
Mugnai, D., Perera, K., Proietti Lippi, E. A priori estimates for the fractional p-Laplacian with nonlocal Neumann boundary conditions and applications Commun. Pure Appl. Anal. 21 (2022), no. 1, 275-292
Hasani, E., Perera, K. On the compactness threshold in the critical Kirchhoff equation Discrete Contin. Dyn. Syst. 42 (2022), no. 1, 1-19.
J. Bedrossian, M. Gualdani, and S. Snelson, Non-existence of some approximately self-similar singularities for the Landau, Vlasov-Poisson-Landau, and Boltzmann equations, Transactions of the AMS, 375(3) 2187--2216, 2022.
M. Alammari* and S. Snelson, Linear and orbital stability analysis for solitary-wave solutions of variable-coefficient scalar field equations, Journal of Hyperbolic Differential Equations, Accepted for Publication. * Applied Mathematics PhD student
Stanley, T.R. Stanley, Guisbert, K.S.K., Perez, S.M. Perez, Oneka, M.**, Kernin, I.**, Higgins, N.R.**, Lobo, A.**, Subasi, M.M., Carroll, D.J., Turingan, R.G., Guisbert, E. , Journal of Experimental Biology (2022).**BioMath REU Intern
Published in 2021:
Abdulla, U.G., Poteau, R.* , Journal of Computational Physics, March 2021, 110026. *Operations Research Ph.D. Student
Gayatri Pany and Ram N. Mohapatra, A study on vector variational- like inequalities using convexificators and application to its bi-level form, Journal of Industrial and Management Optimization, 2021, doi: 10.3934/jimo.2021161
Koolman** P. M., Bukshtynov V. , Biomedical Physics & Engineering Express 7(2) (2021), 025005.
Abdulla U. G., Bukshtynov V., Seif* S. Cancer Detection through Electrical Impedance Tomography and Optimal Control Theory: Theoretical and Computational Analysis, Mathematical Biosciences and Engineering 18(4) (2021), 4834-4859
Dshalalow, J. , Al-Obaidi, A. , Journal of Stochastic Analysis and Applications, Taylor and Francis, 39:3 (2021), 525-548
Computational Investigation of Platelet Thrombus Mechanics and Stability in Stenotic Channels. Jian Du, Elise Aspray, Aaron Fogelson, Journal of Biomechanics, 122 (2021) 110398
Enhancement of Active Swimming Near Fluid Interfaces. Avriel Cartwright*, Jian Du, 2021 International Symposium on Automation, Information and Computing.
Low Reynolds Number Swimming Near Interfaces in Multi-Fluid Media. Avriel Cartwright, Jian Du, Applied Sciences, 11 (2021), 9109
Modeling and Simulation of the Ion-Binding-Mediated Swelling Dynamics of Mucin-like Poly - electrolyte Gels. Jian Du, Owen Lewis, James Keener, Aaron Fogelson, Gels, 7(4) (2021), 244.
Dshalalow, J. H., White, R.T. . Mathematics 9, 1148 (2021).
Dshalalow, J. H., White, R.T. , Axioms 10, 199 (2021).
Dshalalow, J. H., Nandyose, K.*, White, R. T., "Time sensitive analysis of antagonistic stochastic processes and applications to finance and queueing," Mathematics and Statistics, Vol. 9, No. 4, pp. 481 - 500, 2021. . *Operations Research Ph.D. Student
Young, S.A., *Newton, A.R., Fowler, S.R., and Park, J. (2021). , Journal of Biological Education.
Perera, K. An abstract critical point theorem with applications to elliptic problems with combined nonlinearities Calc. Var. Partial Differential Equations 60 (2021), no. 5, Paper No. 181, 23 pp.
Perera, K. On a class of elliptic free boundary problems with multiple solutions NoDEA Nonlinear Differential Equations Appl. 28, 36 (2021).
Fu, S.*, Perera, K. On critical elliptic problems with singular Trudinger-Moser nonlinearities. Nonlinear Analysis. 203 (2021) 112154. *Applied Math Ph.D. Student
Perera, K. On the existence of ground state solutions to critical growth problems nonresonant at zero C. R. Math. Acad. Sci. Paris 359 (2021), no. 9, 1161-1164.
Candito, P., Marano, S. A., Perera, K. Pairs of nontrivial solutions to concave-linear-convex type elliptic problems Commun. Contemp. Math. 23 (2021), no. 8, 2050057.
Fu, S., Perera, K. On a class of semipositone problems with singular Trudinger-Moser nonlinearities Discrete Contin. Dyn. Syst. Ser. S 14 (2021), no. 5, 1747-1756.
Kutt, B.**, Burdorf, R.**, Bain, T.*, T., Cameron, N.^^, Pearah, A.^^, Subasi, E., Carroll, D., Moore, L., Subasi, M.M. . Frontiers in Genetics, September 2021 *Operations Research Ph.D. Student, **BioMath REU Intern, ^^Biological Sciences Undergrad
Moreno, M.M.^ , Bain, T.C.*, Moreno, M.S.*, Carroll, K.C.**, Cunningham, E.R.**, Ashton, Z.***, Poteau, R.*, Subasi, E., Lipkowitz, M.S., Subasi, M.M. , Frontiers in Big Data 3, 47, Januay 14, 2021. ^Operations Research M.S. Student , *Operations Research Ph.D. Student, **BioMath REU Intern, ***Mathematical Sciences B.S. Student
T. Gnana Bhaskar, Introduction to Mathematics, Springer Handbook of Mechanical Engineering (2021). (Book Chapter 1, pp. 1- 23)
B. Choudhury, T. Gnana Bhaskar, N. Metiya and S. Kundu, Existence and Stability of coupled Fixed Point sets for Multivalued mappings, Fixed Point Theory, 22 (2021), 2, 571-586.
Stefan, A.*, Welters, A. . Linear Algebra and Its Applications 627, 80-93, October 2021. *Applied Math Ph.D. Student
Mahendrakar, T.*, Cutler, J.^^, Ekblad, A.^, Rivkin, A.^^, Fischer, N.^^, Watkins, K.^^, Wilde. M., White, R.T., Kish, B., Silver, I. . AIAA ASCEND 2021. *Aerospace Engineering Ph.D. student ^Electrical Engineering Undergrad ^^Aerospace Engineering Undergrad
T. Mahendrakar, T.*, White, R. T., Wilde, M., Kish, B., and Silver, I. . 35th Annual Small Satellite Conference (2021). *Aerospace Engineering Ph.D. student
Published In 2020:
Abdulla, U.G., Cosgrove,E.* , January 2020. *Applied Math Ph.D. Student
Abdulla, U.G., Abu Weden, A.* , Nonlinear Differential Equations and Applications NoDEA 27:3, February 2020. *Applied Math Ph.D. Student
Abdulla, U.G., Poggi, P.* . Calculus of Variations and Partial Differential Equations 59, 61, March 2020. *Applied Math M.S. Student
Abdulla, U.G., Jeli, R.* , European Journal of Applied Mathematics, Volume 31, Issue 3, June 2020, pp. 385-406. *Applied Math Ph.D. Student
Abdulla, U.G., Goldfarb, J., Hagverdiyev, A.* , Journal of Computational and Applied Mathematics 372, July 2020. *Applied Math Ph.D. Student
Dshalalow, J.H., White, R. . Stochastic Analysis and Applications 38(2), 307-342, 2020.
Dshalalow, J.H., White, R., Merie, A.* . Methodology and Computing in Applied Probability 22(1), 295-327, 2020. *Operations Research Ph.D Student
Du, J., Kim, D., Alhawael, G.*, Ku, D., Gogelson, A. Clot Permeability, Agonist Transport, and Platelet Binding Kinetics in Arterial Thrombosis. Biophysical Journal. 119 pp.2102-2115. 2020. *Applied Math Ph.D. Student
Du, J., Aspray, A.*, Fogelson, A. Computational Investigation of Platelet Thrombosis Mechanis and Stability in Stenotic Channels. Journal of Biomechanics. 2020 (accepted). *Applied Math Ph.D. Student
Alshehri, H.*, Althobaiti, N.*, Du, J. Low Reynolds Number Swimming with Slip Conditions. Journal of Computational Science. 12141 pp 149.162. 2020. *Applied Math Ph.D. Student
Wiseman, E., Carroll, D.J., Fowler., S.R., Guisbert, E. Iteration in an inquiry-based undergraduate laboratory strengthens student engagement and incorporation of scientific skills. Journal of the Scholarship of Teaching and Learning. 2020.
Bancroft, S., Fowler, S.R., Jalaeian, M., Patterson, K. Leveling in the field: Flipped instruction has a tool for promoting equity in general chemistry. The Journal of Chemical Education. 2020.
Kachouie, N.N., Shutaywi, M.* . Entropy 22(3), 351, March 2020. *Operations Research Ph.D. Student
Kachouie, N.N., Deebani, W.* . Entropy 22(4), 440, April 2020. *Operations Research Ph.D. Student
Lim, S.H., Tiew, W.J., Zhang, J., Ho, P.C., Kachouie, N.N., Kang, L. . Biofabrication, April 2020.
Kachouie, N.N., Shutaywi, M.*, Christiani, D.C. . Cancer Investigation 38 (2), 102-112, February 2020. *Operations Research Ph.D. Student
Kachouie, N.N., Onyejekwe, O.E.* . Hydrology 7(2), 1-12, May 2020. *Operations Research Ph.D. Student
Kachouie, N.N., Hamad, F.* . Transplantation Reports 5(2), 100042, June 2020. *Operations Research Ph.D. Student
Elrod, E.*, Park, J. . Numeracy. 13(2) Article 3 pp1936-4660 12.2.1309 (2020). *Math Ed Ph.D. Student
Perera, K., Sim, I. . Topological Methods in Nonlinear Analalysis 55(1), 243-255, March 2020.
Perera, K., Shivaji, R., Sim, I. . Adv. Nonlinear Anal. 9 (2020), 516-525.
Fu, S., Perera, K. On a class of semipositone problems with singular Trudinger-Moser nonlinearities. Discrete and Continuous Dynamical Systems. Series S (in press).
Henderson, C., Snelson, S. , Archive for Rational Mechanics and Analysis 236(1) 113-143, April 2020.
Snelson, S. . SIAM Journal on Mathematical Analysis 52(2), 2081-2097, April 2020.
Cameron, S., Snelson, S. . Nonlinearity 33(6) 2941-2959, May 2020.
Henderson, C., Snelson, S., Tarfulea, A. , Kinetic & Related Models, 13(4) 837-867, August 2020.
Henderson, C., Snelson, S., Tarfulea, A. . Annales de l'Institute Henri Poincaré (C) Analyse Non Linéaire (in press).
Alreshidi, N.*, Mrad, M., Subasi, E., Subasi, M.M. . Annals of Operations Research 288, 1-43, February 2020. *Operations Research Ph.D. Student
Bain, T.C.*, Avila-Herrera, J.F.*, Subasi, E., Subasi M.M. . Annals of Operations Research 287, 11-35, 2020. . *Operations Research Ph.D. Students
T. Gnana Bhaskar, V. Slynko, V. Stability of invariant manifolds of certain classes of Set Differential Equations, Dynamics of Continuous, Discrete, Impulsive Systems, series A: Mathematical Analysis, 27 (2020), 1 – 17.
Published in 2019:
Abdulla, U.G., Bukshtynov, V., Hagverdiyev, A.* . Journal of Computational and Applied Mathematics 346 (2019), 84-109. *Applied Math Ph.D. Student
Abdulla, U.G., Poggi, B.* . Applied Mathematics and Optimization 80(2) (2019), 479-513. *Applied Math M.S. Student
Dshalalow, J.H., Nandyose, K.* Real time analysis of signed marked random measures with applications to finance and insurance. Nonlinear Dynamics and System Theory1 (19) (2019), 36-54. *Operations Research Ph.D. Student
Folick, A.M., Haire, T.C., Cutshaw, K., Riddle, M., Shola, C., Nassani, S., Rice, P., Richardson, B., Kachouie, N.N., Palmer, A.G. . Frontiers in Plant Science. 10, 1616, January 2019.
Kachouie, N.N., Deebani, W.*, Christiani, D.C.. Cancer investigation. 37(10), 535-545, October 2019. *Operations Research Ph.D. Student
Hamad, F.*, Kachouie, N.N. . Transplantation Reports. 4(4), 100035, December 2019. *Operations Research Ph.D. Student
Hamad, F.*, Kachouie, N.N. . Communications in Statistics-Theory and Methods. 48(22), 5477-5491. 2019. *Operations Research Ph.D. Student
Dutra, A*., Marcinkowski, T., Webbe, F.* (in press). Testing a model of the relationship of demographic, affective, and fitness variables to academic achievement among non-science majors at an independent. International Journal of Sport and Society. *Science Education Ph.D. Student
Riaz, M.*, Marcinkowski, T., Faisal, A.* (in press). The effects of a DLSCL approach on students’ conceptual understanding in an undergraduate physics introductory lab. Eurasian Journal of Mathematics, Science and Technology Education. *Science Education Ph.D. Student
Marcinkowski, T., Reid, A.* Reviews of research on the attitude-behavior relationship and their implications for future research in EE. Environmental Education Research, 25(4) (2019), 1-13. *Science Education Ph.D. Student
Perera, K., Sim, I. Methods Nonlinear Anal. (2019). To appear.
Yang, Y., Perera, K. . Nonlinear Anal. 180 (2019), 75-93.
Published in 2018:
Abdulla, U.G., Du, J., Prinkey, A.*, Ondracek, C., Parimoo, S. . Math. Comput. Simulation 153 (2018), 59–82. *Applied Math Ph.D. Student
Abdulla, U.G., Goldfarb, J.M. . J. Inverse Ill-Posed Probl. 26(2) (2018), 211–227.
Abdulla, U.G., Poteau, R.* . Mathematical Biosciences 305 (2018), 133–145. *Operations Research Ph.D. Student
Abdulla, U.G. . Calc. Var. Partial Differential Equations 57(6) 2018), 157.
Volkov O., Bukshtynov V., Durlofsky L.J., Aziz K. , Computational Geosciences 22(6) (2018), 1465-1485.
Dshalalow, J.H., Nandyose, K.* . Neural, Parallel, and Scientific Computations 2 (26) (2018), 119-141. *Operations Research Ph.D. Student
Dshalalow, J.H., Merie, A.* . TOP 26(2) (2018), 309–333. *Operations Research Ph.D. Student
Al-Obaidi, A.*, Dshalalow, J.H. . Stochastic Analysis and Applications 6 (2018), 932-959. *Applied Math Ph.D. Student
Du, J., Fogelson, A.L. . Math. Med. Biol. 35(2) (2018), 225–256.
Deebani, W.*, Nezamoddini-Kachouie, N. . Proceedings of 2018 International Symposium on Artificial Intelligence and Mathematics, Fort Lauderdale, FL. *Operations Research Ph.D. Student
Shutaywi, M.*, Nezamoddini-Kachouie, N. . Proceedings of 2018 International Symposium on Artificial Intelligence and Mathematics, Fort Lauderdale, FL. *Operations Research Ph.D. Student
Perera, K., Yang, Y., Zhang, Z. . Calc. Var. Partial Differential Equations 57(5) (2018), 131.
Perera, K., Squassina, M. . Discrete Contin. Dyn. Syst. Ser. S 11(3) (2018), 561–576.
Perera, K., Squassina, M. . Commun. Contemp. Math. 20(2) (2018), 1750023.
Perera, K., Tintarev, C., Wang, J., Zhang, Z. . Adv. Differential Equations 23(7-8) (2018), 615–648.
Jerison, D., Perera, K. . J. Geom. Anal. 28(2) (2018), 1258–1294.
Perera, K., Zou, W. . NoDEA Nonlinear Differential Equations Appl. 25(3) (2018), 25.
Snelson, S. . Trans. Amer. Math. Soc. 370 (10) (2018), 7437–7460.
Cameron, S.; Silvestre, L., Snelson, S. . Ann. Inst. H. Poincaré Anal. Non Linéaire 35 (2018), no. 3, 625–642.
Kutt, B., Burdorf, R., Bain, T.C.*, Moore, L., Subasi, M.M. . Proceedings of 2018 International Symposium on Artificial Intelligence and Mathematics, Fort Lauderdale, FL. *Operations Research Ph.D. Student
Bain, T.C.*, Avila-Herrera, J.F.*, Subasi, E., Subasi, M.M. . Proceedings of 2018 International Symposium on Artificial Intelligence and Mathematics, Fort Lauderdale, FL. *Operations Research Ph.D. Student
Alharbi, M.G.*, Subasi, E., Subasi, M.M. . Discrete Appl. Math. 237 (2018), 1–25. *Operations Research Ph.D. Student
Subasi, E., Subasi, M.M., Binmahfoudh, A.*, Prékopa, A. . Annals of Operations Research (2018), 1-25. . *Operations Research Ph.D. Student
van Woesik, R., Koksal, S., Unal, A., Cacciapaglia, C.W., Randall, C.J. . Nature: Scientific Reports 8 (2018), 17997. DOI:10.1038/s41598-018-36169-7
Published in 2017
Abdulla, U.G., Jeli, R.* European Journal of Applied Mathematics, 28 (5) (2017), 827–853. *Applied Math Ph.D. Student
Abdulla, U.G., Cosgrove, E.*, Goldfarb, J. . Evolution Equations & Control Theory 6(3) (2017), 319–344. *Applied Math Ph.D. Student
Abdulla, U.G., Abdulla, R.U., Abdulla, M.U., Iqbal, N.H.* . International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 27 (2017), no. 5, 1730018. *Applied Math Ph.D. Student
Dshalalow, J.H., Iwezulu, K.* . São Paulo Journal of Math. Science 11(2) (2017), 471-489. *Operations Research Ph.D. Student
Onyejekwe, O.E.*, Holman, B., Kachouie, N.N. Multivariate models for predicting glacier termini. Environmental Earth Sciences. 76(23), 807. 2017. *Operations Research Ph.D. Student
Qin, L., Schwartzman, A., McCall, K. Kachouie, N.N., Yap, J.T. Method for detecting voxelwise changes in fluorodeoxyglucose-positron emission tomography brain images via background adjustment in cancer clinical trials. Journal of Medical Imaging. 4(2), 024006 1. 2017.
Kachouie, N.N., Lin, X., Schwartzman, A. FDR control of detected regions by multiscale matched filtering. Communications in Statistics-Simulation and Computation. 46 (1), 127-144. 2017.
Kiguradze, T., Al-Jaber, N.* . QUALITDE (2017), 92-96. *Applied Math Ph.D. Student
Kiguradze, T., Beaubrun, A.*
. QUALITDE (2017), 97-101.
Subasi, E., Subasi, M.M., Hammer, P.L., Roboz, J., Anbalagan, V., Lipkowitz, M.A. . Frontiers in Medicine 4 (2017), 97-106.
Subasi, M.M., Subasi, E., Binmahfoudh, A.*, Prekopa, A. . Discrete Applied Mathematics 226 (2017), 138-157. *Operations Research Ph.D. Student
Under Review
Dshalalow, J.H., Nandyose, K.*, White, R.T. (2019). Time-Dependent Analysis of Stochastic Games of Three Players with Applications. *Operations Research Ph.D. Student
Giannoulis, C., Marcinkowski, T., Volk, T., Hungerford, H., McBeth, W. (2019). Influence of sequence of grade-level programming on middle school students’ environmental literacy. The Journal of Environmental Education. Revision submitted.
Gibbs, A., Park, J. (2019). Students’ Understanding of the role of Mathematics in Society: Mathematising experiences, establishing relevancy.
Henderson, C., Snelson, S. (2019). Tarfulea, Andrei. Local Solutions of the Landau Equation with Rough, Slowly Decaying Initial Data. Link:
Marcinkowski, T., Giannoulis, C., McBeth, W. (2019). Environmental education programs and middle school students’ environmental literacy: Results of a national assessment. The Journal of Environmental Education. Revision submitted.
Park, J. (2019). Makiguchi’s Theory of ‘Value Creation’ and Its Implications for Global Citizenship Education in Mathematical Practices.