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Mathematical Sciences

Recent Publications by Mathematical Sciences Faculty (highlighted) & Students*

 

Published/Accepted In 2020:

Abdulla, U.G., Jeli, R.* Evolution of Interfaces for the Nonlinear Parabolic p-Laplacian-type Reaction-Diffusion Equations. II. Fast Diffusion vs. Absorption, European Journal of Applied Mathematics, Volume 31, Issue 3, June 2020, pp. 385-406.  *Applied Math Ph.D. Student

Henderson, C., Snelson, S., Tarfulea, A. Local well-posedness of the Boltzmann equation with polynomially decaying initial data, Kinetic & Related Models, 13(4) 837-867, August 2020.

Abdulla, U.G., Goldfarb, J., Hagverdiyev, A.* Optimal Control of Coefficients in Parabolic Free Boundary Problems Modeling Laser Ablation, Journal of Computational and Applied Mathematics 372, July 2020. *Applied Math Ph.D. Student

Kachouie, N.N., Hamad, F.* Potential impact of OPTN plan in association with donors’ factors on survival times of transplanted kidneys. Transplantation Reports 5(2), 100042, June 2020. *Operations Research Ph.D. Student

Cameron, S., Snelson, S. Velocity decay estimates for Boltzmann equation with hard potentials. Nonlinearity 33(6) 2941-2959, May 2020.

Kachouie, N.N., Onyejekwe, O.E.* Climate Change Study via the Centennial Trend of Climate Factors. Hydrology 7(2), 1-12, May 2020. *Operations Research Ph.D. Student

Henderson, C., Snelson, S. C∞ smoothing for weak solutions of the inhomogeneous Landau equation, Archive for Rational Mechanics and Analysis 236(1) 113-143, April 2020.

Kachouie, N.N., Deebani, W.* Association Factor for Identifying Linear and Nonlinear Correlations in Noisy Conditions. 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. Geometrical optimisation of a personalised microneedle eye patch for transdermal delivery of anti-wrinkle small peptide. Biofabrication, April 2020.

Snelson, S. Gaussian bounds for the inhomogeneous Landau equation with hard potentials. SIAM Journal on Mathematical Analysis 52(2), 2081-2097, April 2020.
 

Abdulla, U.G., Poggi, P.* Optimal Stefan Problem. Calculus of Variations and Partial Differential Equations 59, 61, March 2020.  *Applied Math M.S. Student

Kachouie, N.N., Shutaywi, M.* Weighted Mutual Information for Aggregated Kernel Clustering. Entropy 22(3), 351, March 2020. *Operations Research Ph.D. Student

Perera, K., Sim, I. Positive solutions of semipositone elliptic problems with critical Trudinger-Moser nonlinearities. Topological Methods in Nonlinear Analalysis 55(1), 243-255, March 2020.

Abdulla, U.G., Abu Weden, A.* Interface development for the nonlinear degenerate multidimensional reaction-diffusion equations, Nonlinear Differential Equations and Applications NoDEA 27:3, February 2020. *Applied Math Ph.D. Student

Alreshidi, N.*, Mrad, M., Subasi, E., Subasi, M.M. Two-Stage Bond Portfolio Optimization & Its Application to Saudi Sukuk Market. Annals of Operations Research 288, 1-43, February 2020. *Operations Research Ph.D. Student

Kachouie, N.N., Shutaywi, M.*, Christiani, D.C. Discriminant Analysis of Lung Cancer Using Nonlinear Clustering of Copy Numbers. Cancer Investigation 38 (2), 102-112, February 2020. *Operations Research Ph.D. Student

Abdulla, U.G., Cosgrove,E.* Optimal Control of Multiphase Free Boundary Problems for Nonlinear Parabolic Equations, Applied Mathematics and Optimization, January 2020. *Applied Math Ph.D. Student

Bain, T.C.*, Avila-Herrera, J.F.*, Subasi, E., Subasi M.M. Logical Analysis of Multiclass Data with Relaxed Patterns. Annals of Operations Research 287, 11-35, 2020. https://doi.org/10.1007/s10479-019-03389-7. *Operations Research Ph.D. Students

Tenali, G.B., Slyn’ko, V.I. Stability of Invatiant Maniforlds of Certain Classes of Set Differential Equations. Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis 27 (2020) 1-17. 

Dshalalow, J.H., White, R. Random Walks on Random Lattices. Stochastic Analysis and Applications 38(2), 307-342, 2020.

Dshalalow, J.H., White, R., Merie, A.* Fluctuation Analysis in Parallel Queues with Hysteretic Control. Methodology and COmputing in Applied Probability 22(1), 295-327, 2020. *Operations Research Ph.D Student

Perera, K., Shivaji, R., Sim, I. A class of semipositone p-Laplacian problems with a critical growth reaction term. Advances in Nonlinear Analysis 9, 516-525, 2020.

Elrod, E., Park, J. A Comparison of Students’ Quantitative Reasoning Skills in STEM and Non-STEM Math Pathways. Numeracy (in press).

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., Tarfulea, A. Local solutions of the Landau equation with rough, slowly decaying initial data. Annales de l'Institute Henri Poincaré (C) Analyse Non Linéaire (in press). 

Published in 2019:

Abdulla, U.G., Bukshtynov, V., Hagverdiyev, A.* Gradient method in Hilbert-Besov spaces for the optimal control of parabolic free boundary problems. Journal of Computational and Applied Mathematics 346 (2019), 84-109. *Applied Math Ph.D. Student

Abdulla, U.G., Poggi, B.* Optimal control of the multiphase Stefan problem. Applied Mathematics and Optimization 80(2) (2019), 479-513. *Applied Math M.S. Student

Dshalalow, J.H., Merie, A.*, White, R.T. Fluctuation Analysis in Parallel Queues with Hysteretic Control. Methodology and Computing in Applied Probability (2019). https://doi.org/10.1007/s11009-019-09701-z*Operations Research Ph.D. 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

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

Henderson, C., Snelson, S., Tarfulea, A. Local existence, lower mass bounds, and a new continuation criterion for the Landau equation. J. Differential Equations 266(2-3) (2019), 1536–1577.

Hamad, F.*, Kachouie, N.N. Potential Impact of Donors’ Factors on Survival Times of Transplanted Hearts and Lungs. Transplantation Reports. 4(4), 100035, December 2019. *Operations Research Ph.D. Student

Kachouie, N.N., Deebani, W.*, Christiani, D.C. Identifying Similarities and Disparities Between DNA Copy Number Changes in Cancer and Matched Blood Samples. Cancer investigation. 37(10), 535-545, October 2019. *Operations Research Ph.D. Student

Hamad, F.*, Kachouie, N.N. A hybrid method to estimate the full parametric hazard model. Communications in Statistics-Theory and Methods. 48(22), 5477-5491. 2019. *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. Computer assisted tracking of Chlamydomonas species. Frontiers in Plant Science. 10, 1616, January 2019.

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. Positive solutions of semipositone elliptic problems with critical Trudinger-Moser nonlinearities Topol. Methods Nonlinear Anal. (2019). To appear.

Perera, K., Shivaji, R., Sim, I. A class of semipositone p-Laplacian problems with a critical growth reaction term. Adv. Nonlinear Anal. 9 (2020), 516-525.

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
 
White, R.T., Dshalalow, J.H. Characterizations of random walks on random lattices and their ramifications. Stochastic Analysis and Applications (2019) https://doi.org/10.1080/07362994.2019.1694417
 
Yang, Y., Perera, K. Existence and nondegeneracy of ground states in critical free boundary problems. Nonlinear Anal. 180 (2019), 75-93. 

Published in 2018:

Abdulla, U.G. Removability of the logarithmic singularity for the elliptic PDEs with measurable coefficients and its consequences. Calc. Var. Partial Differential Equations 57(6) 2018), 157.

Abdulla, U.G., Poteau, R.* Identification of parameters in systems biology. Mathematical Biosciences 305 (2018), 133–145. *Operations Research Ph.D. Student

Abdulla, U.G., Du, J., Prinkey, A.*, Ondracek, C., Parimoo, S. Evolution of interfaces for the nonlinear double degenerate parabolic equation of turbulent filtration with absorption. Math. Comput. Simulation 153 (2018), 59–82. *Applied Math Ph.D. Student

Abdulla, U.G., Goldfarb, J.M. Frechet differentiability in Besov spaces in the optimal control of parabolic free boundary problems. J. Inverse Ill-Posed Probl. 26(2) (2018), 211–227.

AlObaidi, A.*, Dshalalow, J.H. On intensities of perturbed random measures on Hausdorff spaces. Stochastic Analysis and Applications 6 (2018), 932-959. *Applied Math Ph.D. Student

Dshalalow, J.H., AlObaidi, A.* Fluctuation Analysis in Queues with Several Operational Modes and Priority Customers. TOP, Spring, NY. 26 (2018). 309-333. *Applied Math Ph.D. Student

Dshalalow, J.H., Nandyose, K. Continuous Time Interpolation of Monotone Marked Random Measures with Applications. Neural, Parallel, and Scientific Computations. 26:2 (2018). 119-141. *Operations Research Ph.D. Student

Shutaywi, M.*, Kachouie, N.N. A Weighted Majority Voting based on NMI for Cluster Analysis. International Symposium on Artificial Intelligence and Mathematics. 2018. *Operations Research Ph.D. Student

 Deebani, W.*, Kachouie, N.N. Ensemble Correlation Coefficient. International Symposium on Artificial Intelligence and Mathematics. 2018. *Operations Research Ph.D. Student

Alharbi, M.G.*, Subasi, E., Subasi, M.M. New sufficient conditions for strong unimodality of multivariate discrete distributions. Discrete Appl. Math. 237 (2018), 1–25. *Operations Research Ph.D. Student

Bain, T.C.*, Avila-Herrera, J.F.*, Subasi, E., Subasi, M.M. Logical Analysis of Multiclass Data with Relaxed Patterns. Proceedings of 2018 International Symposium on Artificial Intelligence and Mathematics, Fort Lauderdale, FL. *Operations Research Ph.D. Student

Cameron, S.; Silvestre, L., Snelson, S. Global a priori estimates for the inhomogeneous Landau equation with moderately soft potentials. Ann. Inst. H. Poincaré Anal. Non Linéaire 35 (2018), no. 3, 625–642.

Deebani, W.*, Nezamoddini-Kachouie, N. Ensemble Correlation Coefficient. Proceedings of 2018 International Symposium on Artificial Intelligence and Mathematics, Fort Lauderdale, FL. *Operations Research Ph.D. Student

Dshalalow, J.H., Merie, A.* Fluctuation analysis in queues with several operational modes and priority customers. TOP 26(2) (2018), 309–333. *Operations Research Ph.D. Student

Dshalalow, J.H., Nandyose, K.Continuous time interpolation of monotone marked random measures with applications. Neural, Parallel, and Scientific Computations 2 (26) (2018), 119-141. *Operations Research Ph.D. Student

Du, J., Fogelson, A.L. A two-phase mixture model of platelet aggregation. Math. Med. Biol. 35(2) (2018), 225–256.

Kutt, B., Burdorf, R., Bain, T.C.*, Moore, L., Subasi, M.M. Interalgorithmic Consolidation for Pattern Recognition Applied to Melanoma Genomic Data. Proceedings of 2018 International Symposium on Artificial Intelligence and Mathematics, Fort Lauderdale, FL. *Operations Research Ph.D. Student

Jerison, D., Perera, K. Higher critical points in an elliptic free boundary problem. J. Geom. Anal. 28(2) (2018), 1258–1294.

Perera, K., Yang, Y., Zhang, Z. Asymmetric critical p -Laplacian problems. Calc. Var. Partial Differential Equations 57(5) (2018), 131.

Perera, K., Zou, W. p -Laplacian problems involving critical Hardy-Sobolev exponents. NoDEA Nonlinear Differential Equations Appl. 25(3) (2018), 25.

Perera, K., Tintarev, C., Wang, J., Zhang, Z. Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in R N . Adv. Differential Equations 23(7-8) (2018), 615–648.

Perera, K., Squassina, M. Bifurcation results for problems with fractional Trudinger-Moser nonlinearity. Discrete Contin. Dyn. Syst. Ser. S 11(3) (2018), 561–576.

Perera, K., Squassina, M. Existence results for double-phase problems via Morse theory. Commun. Contemp. Math. 20(2) (2018), 1750023.

Shutaywi, M.*, Nezamoddini-Kachouie, N. A Weighted Majority Voting based on Normalized Mutual Information for Cluster Analysis. Proceedings of 2018 International Symposium on Artificial Intelligence and Mathematics, Fort Lauderdale, FL. *Operations Research Ph.D. Student

Snelson, S. Asymptotic stability for odd perturbations of the stationary kink in the variable-speed ϕ 4 model. Trans. Amer. Math. Soc. 370 (10) (2018), 7437–7460.

Subasi, E., Subasi, M.M., Binmahfoudh, A.*, Prékopa, A. Sharp bounds for the probability that exactly k-out-of-n events occur with unimodal distributions. Annals of Operations Research (2018), 1-25. https://doi.org/10.1007/s10479-018-2950-8. *Operations Research Ph.D. Student

van Woesik, R., Koksal, S., Unal, A., Cacciapaglia, C.W., Randall, C.J. Predicting coral dynamics through climate change. Nature: Scientific Reports 8 (2018), 17997. DOI:10.1038/s41598-018-36169-7

Volkov O., Bukshtynov V., Durlofsky L.J., Aziz K. Gradient-based Pareto Optimal History Matching for Noisy Data of Multiple Types, Computational Geosciences 22(6) (2018), 1465-1485.

Published in 2017

Abdulla, U.G., Jeli, R.* Evolution of interfaces for the non-linear parabolic p -Laplacian type reaction-diffusion equations. European Journal of  Applied Mathematics, 28 (5) (2017), 827–853. *Applied Math Ph.D. Student

Abdulla, U.G., Cosgrove, E.*, Goldfarb, J. On the Frechet differentiability in optimal control of coefficients in parabolic free boundary problems. 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.* Second minimal orbits, Sharkovski ordering and universality in chaos. 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.Discrete versus continuous operational calculus in antagonistic stochastic games. 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.* Ill-Posed Multi-Dimensional Boundary Value Problems for Linear Hyperbolic Equations of Higher Order.  QUALITDE (2017), 92-96. *Applied Math Ph.D. Student

Kiguradze, T., Beaubrun, A.* 

Local Solvability of Multi-Dimensional Initial-Boundary Value Problems for Higher Order Nonlinear Hyperbolic Equations. QUALITDE (2017), 97-101.

Subasi, E., Subasi, M.M., Hammer, P.L., Roboz, J., Anbalagan, V., Lipkowitz, M.A. Classification Model to Predict the Rate of Decline of Kidney Function. Frontiers in Medicine 4 (2017), 97-106.

Subasi, M.M., Subasi, E., Binmahfoudh, A.*, Prekopa, A. New bounds for the probability that at least k-out-of-n events occur with unimodal distributions. 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). MESH (Mathematics Expressing Society’s Hopes): A pedagogical tool for uncovering the role of mathematics in society.
 

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: https://arxiv.org/abs/1909.05914

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. 

Snelson, S. (2019). The inhomogeneous Landau equation with hard potentials. Link: https://arxiv.org/abs/1805.10264