Graduate Publications – Mathematics

Students in the UCF Math graduate program worked on contemporary areas of applied mathematics and traditional areas of core mathematics. Listed below is a partial list of publications of students in the PhD and Master program. (Student author in the program is followed with a star)

2018

N. Adu, H. Boustique, and G. Richardson, Strongly Symmetric Compactifications, Topology Proceedings 52(2018), 123 – 13
Mangalagama Dewasurendra, Kuppalapalle Vajravelu: On the Method of Inverse Mapping for Solutions of Coupled Systems of Nonlinear Differential Equations Arising in Nanofluid Flow, Heat and Mass Transfer. 02/2018; 3(1):1-14.

2017

H. Boustique and G. Richardson , Compactification: Limit tower spaces, Applied Categorical Structures 25(2017), 349 – 361.
K. Vajravelu, Ronald Li, M. Dewasurendra*, Joseph Benarroch, Nicholas Ossi, Ying Zhang, Michael Sammarco, K. V. Prasad, Analysis of MHD boundary layer flow of an upper convected Maxwell fluid with homogeneous-heterogeneous chemical reactions, Communications in Numerical Analysis, 2017 No.2 (2017) 202-216.
Mathew Baxter, Mangalagama Dewasurendra, Kuppalapalle Vajravelu: A method of directly defining the inverse mapping for solutions of coupled systems of nonlinear differential equations. Numerical Algorithms, Volume 77, Issue 4, pp 1199–1211.
Bhatt, Ashish*; Moore, Brian E. Structure-preserving exponential Runge-Kutta methods. SIAM J. Sci. Comput. 39 (2017), no. 2, A593–A612.
Dutta, Aritra*; Li, Xin On a problem of weighted low-rank approximation of matrices. (English summary) SIAM J. Matrix Anal. Appl. 38 (2017), no. 2, 530–553.
Rolek, Martin*; Song, Zi-Xia Double-critical graph conjecture for claw-free graphs. (English summary) Discrete Math. 340 (2017), no. 7, 1633–1638.
Lan Li, Cheng Cheng*, Deguang Han, Qiyu Sun, Gungmin Shi,
phase retrieval from multiple-window short-time Fourier measurements

IEEE Signal Processing Letters, 2017.
Baxter M*, Dewasurendra M*, Vajravelu K, A Method of Directly Defining the Inverse Mapping for Solutions of Coupled Systems of Nonlinear Differential Equations, Numerical Algorithms (2017), 1-13
Qi, Yuanwei; Zhu, Yi*; The travelling wave of Gray-Scott systems – existence, multiplicity and stability. J. Biol. Dyn. 11 (2017), suppl. 2, 379–399.
Russo, Matthew*; Choudhury, S. Roy Analytic solutions of a microstructure PDE and the KdV and Kadomtsev-Petviashvili equations by invariant Painlevé analysis and generalized Hirota techniques. Appl. Math. Comput. 311 (2017), 228–239.

2016

Cheng, Cheng*; Jiang, Yingchun; Sun, Qiyu Sampling and Galerkin reconstruction in reproducing kernel spaces. (English summary) Appl. Comput. Harmon. Anal. 41 (2016), no. 2, 638–659.
Yang Chen, Cheng Cheng*, Qiyu Sun, Reconstruction of sparse wavelet signals from partial Fourier measurements, IEEE Signal Processing Letter 22(2006), 2299–2308.
Bhatt, Ashish*; Floyd, Dwayne; Moore, Brian E. Second order conformal symplectic schemes for damped Hamiltonian systems. J. Sci. Comput. 66 (2016), no. 3, 1234–1259.
Vajravelu K, Li R, Dewasurendra M*, Prasad K.V, Mixed Convection Boundary Layer MHD Flow Along a Vertical Elastic Sheet, International Journal of Applied and Computational Mathematics (2016), 1-18.
Vajravelu K, Gregory G, Ronald Li, Dewasurendra M*, Prasad K.V, Hydromagnetic flow and heat transfer of an upper-convected Maxwell fluid in a parallel plate channel with stretching walls, Communication in Numerical Analysis(2016), 180-192.
Lydon, Elizabeth*; Moore, Brian E. Propagation failure of fronts in discrete inhomogeneous media with a sawtooth nonlinearity. J. Difference Equ. Appl. 22 (2016), no. 12, 1930–1947.
Dutkay, Dorin Ervin; Haussermann, John*; Weber, Eric Spectral properties of small Hadamard matrices. Linear Algebra Appl. 506 (2016), 363–381.
Dutkay, Dorin Ervin; Haussermann, John* Number theory problems from the harmonic analysis of a fractal. J. Number Theory 159 (2016), 7–26.
Sadiq, Kamran*; Scherzer, Otmar; Tamasan, Alexandru On the X-ray transform of planar symmetric 2-tensors. J. Math. Anal. Appl. 442 (2016), no. 1, 31–49.
Nachman, Adrian; Tamasan, Alexandru; Veras, Johann* A weighted minimum gradient problem with complete electrode model boundary conditions for conductivity imaging. SIAM J. Appl. Math. 76 (2016), no. 4, 1321–1343.
Qi, Yuanwei; Zhu, Yi* Computational study of traveling wave solutions of isothermal chemical systems. Commun. Comput. Phys. 19 (2016), no. 5, 1461–1472.
Qi, Yuanwei; Zhu, Yi* Global stability of Leslie-type predator-prey model.Methods Appl. Anal. 23 (2016), no. 3, 259–268.
Qi, Yuanwei; Zhu, Yi* The study of global stability of a diffusive Holling-Tanner predator-prey model. Appl. Math. Lett. 57 (2016), 132–138.
Roy, Tanushree*, Choudhury, S, Tanriver, Ugur., Analytical Criterion for Homoclinic Bifurcations Following a Supersritical Hopf Bifurcation in Two Systems, Far East Journal of Dynamical Systems. 28(2016). 33-61.
Russo, Matthew*; Choudhury, S. Roy Integrable spatiotemporally varying KdV and MKdV equations: generalized Lax pairs and an extended Estabrook-Wahlquist method. Quart. Appl. Math. 74 (2016), no. 3, 465–498.
Choudhury, S. Roy; Russo, Matthew* The extended Estabrook-Wahlquist method.Phys. D 327 (2016), 58–72.
H. Boustique and G. Richardson, Convergence approach spaces: Actions, Applied Categorical Structures 24(2016), 147 – 161.

2015

R. Krylov and A. Katsevich. Inversion of the broken ray transform in the case of energy-dependent attenuation. Inverse problems, Vol. 60, pp. 4313-4334 (2015).
Sadiq, Kamran*; Tamasan, Alexandru On the range of the attenuated Radon transform in strictly convex sets. Trans. Amer. Math. Soc. 367 (2015), no. 8, 5375–5398.
Sadiq, Kamran*; Tamasan, Alexandru On the range characterization of the two-dimensional attenuated Doppler transform. SIAM J. Math. Anal. 47 (2015), no. 3, 2001–2021.
Pehlivan, Saliha*; Han, Deguang; Mohapatra, Ram Spectrally two-uniform frames for erasures. Oper. Matrices 9 (2015), no. 2, 383–399.
Haussermann, John*; Van Gorder, Robert A.* Efficient low-error analytical-numerical approximations for radial solutions of nonlinear Laplace equations. Numer. Algorithms 70 (2015), no. 2, 227–248.
Dutkay, Dorin Ervin; Haussermann, John* Tiling properties of spectra of measures. Math. Z. 280 (2015), no. 1-2, 525–549.
Haussermann, John*; Van Gorder, Robert A.* Small-time existence and two classes of solutions for the n-dimensional coupled Yukawa equations. Differ. Equ. Dyn. Syst. 23 (2015), no. 1, 1–14.
Dutkay, Dorin Ervin; Haussermann, John* Local translations associated to spectral sets. Operator methods in wavelets, tilings, and frames, 107–120, Contemp. Math., 626,Amer. Math. Soc., Providence, RI, 2014.
Dutkay, Dorin Ervin; Haussermann, John*; Jorgensen, Palle E. T. Atomic representations of Cuntz algebras. J. Math. Anal. Appl. 421 (2015), no. 1, 215–243.
Tamasan, Alexandru; Timonov, Alexandre; Veras, Johann* Stable reconstruction of regular 1-harmonic maps with a given trace at the boundary. Appl. Anal. 94 (2015), no. 6, 1098–1115.
Oztepe, Gizem S.; Choudhury, S. Roy; Bhatt, Ashish* Multiple scales and energy analysis of coupled Rayleigh-Van der Pol oscillators with time-delayed displacement and velocity feedback: Hopf bifurcations and amplitude death. Far East J. Dyn. Syst. 26 (2015), no. 1, 31–59.
Schober, C. M.; Strawn, M*.The effects of wind and nonlinear damping on rogue waves and permanent downshift. (English summary) , Phys. D 313 (2015), 81–98.
Russo, M*.; Choudhury, S. Roy; Rehman, T.; Gambino, G. Corrigendum to “Smooth and non-smooth traveling wave solutions of some generalized Camassa-Holm equations” [19 (6) (2014) 1746–1769] [MR3144757]. Commun. Nonlinear Sci. Numer. Simul. 27 (2015), no. 1-3,328–329.
Baxter, Mathew*; Van Gorder, Robert A.*; Vajravelu, Kuppalapalle Several types of similarity solutions for the Hunter-Saxton equation. Commun. Theor. Phys. (Beijing) 63 (2015), no. 6,675–681.
Baxter, Mathew*; van Gorder, Robert A.*; Vajravelu, Kuppalapalle Analytical construction of peaked solutions for the nonlinear evolution of an electromagnetic pulse propagating through a plasma. Quaest. Math. 38 (2015), no. 5, 725–748.
Baxter, Mathew*; Choudhury, S. Roy; Van Gorder, Robert A.* Zero curvature representation, bi-Hamiltonian structure, and an integrable hierarchy for the Zakharov-Ito system. J. Math. Phys. 56 (2015), no. 6, 063503
B. Losert and G. Richardson, Convergence S – completions, Topology Proceedings 46(2015), 15 – 27.
H. Boustique and B. Losert and G. Richardson, Locally covex S – compactifications, Topology Proceedings 45(2015), 283 – 299.

2014

Benhaddou, R., Kulik, R., Pensky, M., Sapatinas, T., Multichannel Deconvolution with Long-Range Dependence: A Minimax Study Journ. Stat. Plan. Inference, 148(2014), 1–19.
Atanasiu, Dragu; Mikusiński, Piotr; Siple, Angela*
Pseudoquotients on commutative Banach algebras.
Banach J. Math. Anal. 8 (2014), no. 2, 60–66.
Moore, Brian E.; Segal, Joseph M.* Stationary bistable pulses in discrete inhomogeneous media. J. Difference Equ. Appl. 20 (2014), no. 1, 1–23.
Haussermann, John*; Van Gorder, Robert A.* Classification of two types of weak solutions to the Casimir equation for the Ito system. Quart. Appl. Math. 72 (2014), no. 3, 471–490.
Baxter, Mathew*; Van Gorder, Robert A.*; Vajravelu, Kuppalapalle On the choice of auxiliary linear operator in the optimal homotopy analysis of the Cahn-Hilliard initial value problem.Numer. Algorithms 66 (2014), no. 2, 269–298.
Baxter, Mathew*; Van Gorder, Robert A.* Exact and analytical solutions for a nonlinear sigma model. Math. Methods Appl. Sci. 37 (2014), no. 11, 1642–1651.
B. Losert and G. Richardson (2014), Convergence S – compactifications, Applied General Topology 15, 121 – 136.

2013 or earlier

Benhaddou, R., Pensky, M., Picard, D. (2013) Anisotropic Denoising in Functional Deconvolution Model with Dimension-free Convergence Rates. Electronic Journal of Statsitics, 7, 1686–1715.
Benhaddou, R., Pensky, M. (2013) Adaptive Nonparametric Empirical Bayes Estimation Via Wavelet Series. Journal of Statistical Planning and Inference, 143, 1672–1688.
E. Moore, L. Norena*, and C. Schober, Conformal Conservation Laws and Geometric Integration for Damped Hamiltonian PDEs, Journal of Computational Physics, 232(1):214- 233, 2013.
A. Katsevich, and R. Krylov. Broken ray transform: inversion and a range condition. Inverse Problems. Vol. 29, article id 075008, 15 pp. (2013).
E. Blackstone and D.J. Galiffa, Two Differential Equations for the Linear Generating Function of the Charlier Polynomials, Appl. Math. E-Notes, 13(2013), 60-67.
Russo, Matthew*; Van Gorder, Robert A.* Control of error in the homotopy analysis of nonlinear Klein-Gordon initial value problems. Appl. Math. Comput. 219 (2013), no. 12,6494–6509.
Pehlivan, Saliha*; Han, Deguang; Mohapatra, Ram Linearly connected sequences and spectrally optimal dual frames for erasures. J. Funct. Anal. 265 (2013), no. 11, 2855–2876.
Lopez, Jerry*; Han, Deguang Discrete Gabor frames in ℓ2(Zd). Proc. Amer. Math. Soc. 141 (2013), no. 11, 3839–3851.
Russo, Matthew*; Van Gorder, Robert A.*; Choudhury, S. Roy Painlevé property and exact solutions for a nonlinear wave equation with generalized power-law nonlinearities. Commun. Nonlinear Sci. Numer. Simul. 18 (2013), no. 7, 1623–1634.
B. Losert and H. Boustique and G. Richardson, Modifications: Lattice – valued structures, Fuzzy Sets and Systems 210(2013), 54 – 62.
Tamasan, Alexandru; Veras, Johann* Conductivity imaging by the method of characteristics in the 1-Laplacian. Inverse Problems 28 (2012), no. 8, 084006, 13 pp.
Aiken, Chastity; Veras, Johann* An inverse source problem in near zero frequency sounding of layered media. Fixed Point Theory 13 (2012), no. 1, 11–21.
Haussermann, John*; Van Gorder, Robert A.* Asymptotic solutions for singularly perturbed Boussinesq equations. Appl. Math. Comput. 218 (2012), no. 20, 10238–10243.
Haussermann, J.*; Vajravelu, K.; Van Gorder, R. A.* Self-similar solutions to Lin-Reissner-Tsien equation. Appl. Math. Mech. (English Ed.) 32 (2011), no. 11, 1447–1456.
Bradshaw, D.J., Pensky, M. (2010) SVM-like decision theoretical classification of highdimensional vectors. JSPI , 140, 705 – 718.
Davis, J., Pensky, M., and Crampton, W. (2011) Bayesian Feature Selection for Classification With Possibly Large Number of Classes. Journal of Statistical Planning and Inference, 141, 3256-3266.
Brennan, Joseph P.; Chen, Teng*,

Btoichiometric Model of the Kinetics of Nanoparticle Clusterings Mediated by Antigen-Antibody Interactions, JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE 8(2011),1653-1658 .
Lopez, Jerry; Han, Deguang Optimal dual frames for erasures. Linear Algebra Appl. 432 (2010), no. 1, 471–482.
Han, Deguang; Jing, Wu*; Larson, David; Mohapatra, Ram N. Riesz bases and their dual modular frames in Hilbert C∗-modules. J. Math. Anal. Appl. 343 (2008), no. 1, 246–256.
Jing, Wu*; Han, Deguang; Mohapatra, Ram N. Structured Parseval frames in Hilbert C∗-modules. Operator theory, operator algebras, and applications, 275–287, Contemp. Math., 414, Amer. Math. Soc., Providence, RI, 2006.
Brownstein, N., Pensky, M. (2008) Application of transformations in parametric inference. Journal of Statistics Education , 16, No. 1, 1–10.
Crampton, W.G.R., Davis, J.K., Lovejoy, N.R., Pensky, M. (2009) Multivariate classification of animal communication signals: a simulation-based comparison of alternative signal processing procedures, using electric fishes. Journal of Physiology – Paris, 102, 304–321.
Bradshaw, D.J., Pensky, M. (2008) Decision theory based classification of high-dimensional vectors based on small samples. Test, 17, 83–100.