Faculty research from the Mathematical Sciences department.
Submissions from 2023
Analyzing Aberrant DNA Methylation in Colorectal Cancer Uncovered Intangible Heterogeneity of Gene Effects in the Survival Time of Patients, Saeedeh Hajebi Khaniki, Farhad Shokoohi, Habibollah Esmaily, and Mohammad Amin Kerachian
Submissions from 2022
An Efficient Discretization for a Family of Time Relaxation Models, Jeffrey Belding, Monika Neda, and Rihui Lan
On the Effect of Lowering Population’s Movement to Control the Spread of an Infectious Disease, Keoni Castellano and Rachidi B. Salako
Multiplicity Results for Semilinear Heterogeneous Problems in Exterior Domains of R < Sup > 2 < /Sup > Involving Subcritical or Critical Nonlinearities à la Trudinger-Moser, David Costa and Hossein Tehrani
Discontinuous Galerkin Discretizations and Analysis for the Cohen–Monk Pml Model, Yunqing Huang, Jichun Li, Chanjie Li, and Kai Qu
A Generalized Family of Exponentiated Composite Distributions, Bowen Liu and Malwane Ananda
Analyzing Insurance Data with An Exponentiated Composite Inverse Gamma-Pareto Model, Bowen Liu and Malwane A. Ananda
Control Strategies for a Multi-Strain Epidemic Model, Yuan Lou and Rachidi B. Salako
Simulation of Electromagnetic Wave Propagations in Negative Index Materials by the Localized Rbf-Collocation Method, Hui Zheng, Zhuowan Fan, and Jichun Li
Submissions from 2021
Apollonian Packings in Seven and Eight Dimensions, Arthur Baragar
Development and Analysis of a New Finite Element Method for the Cohen–Monk PML Model, Meng Chen, Yunqing Huang, and Jichun Li
The Nehari Manifold for Indefinite Kirchhoff Problem With Caffarelli–Kohn–Nirenberg Type Critical Growth, David G. Costa, João M. Do Ó, and Pawan K. Mishra
Analysis of a Time-Delayed HIV/AIDS Epidemic Model With Education Campaigns, Dawit Denu, Sedar Ngoma, and Rachidi B. Salako
Detecting Change in the Number of Modes for Circular Data, Kaushik Ghosh and Michael M. Nava
The Factorial Moments of the Generalized Bernoulli-Fibonacci Distribution, Petros Hadjicostas
Multiscale and Monolithic Arbitrary Lagrangian–Eulerian Finite Element Method for a Hemodynamic Fluid-Structure Interaction Problem Involving Aneurysms, Wenrui Hao, Pengtao Sun, Jinchao Xu, and Lian Zhang
Mixed Finite Element Method for Modified Poisson–Nernst–Planck/Navier–Stokes Equations, Mingyan He and Pengtao Sun
Identities For Linear Recursive Sequences Of Order 2, Tian Xiao He and Peter Shiue
On the Solutions of Three-Variable Frobenius-Related Problems Using Order Reduction Approach, Tian-Xiao He, Peter J.-S. Shiue, and Rama Venkat
Energy and Enstrophy Study of the Time Relaxation Model, Tahj Hill, Monika Neda, Eric Olson, and Faranak Pahlevani
Developing and Analyzing New Unconditionally Stable Finite Element Schemes for Maxwell’s Equations in Complex Media, Yunqing Huang, Meng Chen, and Jichun Li
A Time-Domain Finite Element Scheme and Its Analysis for Nonlinear Maxwell's Equations in Kerr Media, Yunqing Huang, Jichun Li, and Bin He
Traveling Wave Solutions for Two Species Competitive Chemotaxis Systems, T. B. Issa, Richadi B. Salako, and W. Shen
Uniform k-Tuple Partially Rank-Ordered Set Sampling, Marvin Javier and Kaushin Ghosh
The Arbitrary Lagrangian-Eulerian Finite Element Method for a Transient Stokes/Parabolic Interface Problem, Ian Kesler, Rihui Lan, and Pengtao Sun
Mathematical analysis and numerical simulation of electromagnetic wave propagation in complex media, Jichun Li
Impact of Neoantigen Expression and T-Cell Activation on Breast Cancer Survival, Wenjing Li, Amei Amei, Francis Bui, Saba Norouzifar, Lingeng Lu, and Zuoheng Wang
Pricing Commodity-Linked Bonds with Stochastic Convenience Yield, Interest Rate and Counterparty Credit Risk: Application of Mellin Transform Methods, Zonggang Ma, Chaoqun Ma, and Zhijian Wu
Heat Transfer in a Composite Material With Structural Hierarchy, Viktoria L. Savatorova and Alexey V. Talonov
Novel Theorems and Algorithms Relating to the Collatz Conjecture, Michael R. Schwob, Peter Shiue, and Rama Venkat
Algorithms for Computing Sums of Powers of Arithmetic Progressions by Using Eulerian Numbers, Peter J. Shiue, Shen C. Huang, and Jorge E. Reyes
An Advanced Ale-Mixed Finite Element Method for a Cardiovascular Fluid–Structure Interaction Problem with Multiple Moving Interfaces, Pengtao Sun, Chen Song Zhang, Rihui Lan, and Lin Li
An Augmented Lagrangian Uzawa Iterative Method for Solving Double Saddle-Point Systems With Semi-Definite (2,2) Block and its Application to DLM/FD Method for Elliptic Interface Problems, Cheng Wang and Pengtao Sun
An Augmented Lagrangian Uzawa Iterative Method for Solving Double Saddle-Point Systems with Semidefinite (2,2) Block and Its Application to DLM/FD Method for Elliptic Interface Problems, Cheng Wang and Pengtao Sun
An Augmented Lagrangian Uzawa Iterative Method for Solving Double Saddle-Point Systems With Semidefinite (2,2) Block and Its Application to DLM/FD Method for Elliptic Interface Problems, Cheng Wang and Pengtao Sun
High Order Approximation of Derivatives With Applications To Pricing of Financial Derivatives, Xiang Wang, Jessica Li, and Jichun Li
Submissions from 2020
A Note on the Limitations of the CAT Procedure with Application to Mixed-Effects Models, Malwane A. Ananda and Samaradasa Weerahandi
Efficiently Constructing Tangent Circles, Arthur Baragar and Alex Kontorovich
Computational Study of the Time Relaxation Model With High Order Deconvolution Operator, Jeffrey Belding, Monika Neda, and Fran Pahlevani
A Finite Volume–Alternating Direction Implicit Method for the Valuation of American Options under the Heston Model, Jiacheng Cai and Hongtao Yang
Regulation and Characterization of Tumor-Infiltrating Immune Cells in Breast Cancer, Qile Dai, Weimiao Wu, Amei Amei, Xiting Yan, Lingeng Lu, and Zuoheng Wang
Optimal Control for Electromagnetic Cloaking Metamaterial Parameters Design, Zhiwei Fang, Jichun Li, and Xiang Wang
Rainbow Mean Colorings of Bipartite Graphs, James Hallas, Ebrahim Salehi, and Ping Zhang
A Leap-Frog Meshless Method with Radial Basis Functions for Simulating Electromagnetic Wave Splitter and Rotator, Bin He, Jichun Li, Meng Chen, and Yunqing Huang
Energy-Preserving Finite Element Methods for a Class of Nonlinear Wave Equations, Mingyan He and Pengtao Sun
On the Application of Girard-Waring Identities, Tian-Xiao He and Peter Shiue
On the Applications of the Girard-Waring Identities, Tian Xiao He and Peter J.S. Shiue
A Note on Eulerian Numbers and Toeplitz Matrices, Tian-Xiao He and Peter J.-S. Shiue
Computation of Fermat’s Pseudoprimes (Dedicated to the Memory of Professor Leetsch C. Hsu), Tian-Xiao He, Peter J.S. Shiue, and Yaotsu Chang
Recursive Sequences and Girard-Waring Identities with Applications in Sequence Transformation, Tian-Xiao He, Peter J.-S. Shiue, Zihan Nie, and Minghao Chen
Numerical Analysis of a Finite Element Method for the Electromagnetic Concentrator Model, Yunqing Huang and Jichun Li
Mathematical Analysis of Ziolkowski's PML Model With Application for Wave Propagation in Metamaterials, Yunqing Huang, Jichun Li, and Zhiwei Fang
Analysis of a Novel Finite Element Method for a Modified Cahn–Hilliard–Hele–Shaw System, Hongen Jia, Yayu Gao, Jichun Li, and Yunqing Huang
Xinjie Hu, Aekyung Jung, and Gengsheng Qin (2020), "Interval Estimation for the Correlation Coefficient," The American Statistician, 74:1, 29-36: Comment by Krishnamoorthy and Xia, Kalimuthu Krishnamoorthy and Yanping Xia
Finite Element Analysis of an Arbitrary Lagrangian–Eulerian Method for Stokes/Parabolic Moving Interface Problem With Jump Coefficients, Rihui Lan, Michael J. Ramirez, and Pengtao Sun
A Monolithic Arbitrary Lagrangian–Eulerian Finite Element Analysis for a Stokes/Parabolic Moving Interface Problem, Rihui Lan and Pengtao Sun
A Novel Arbitrary Lagrangian–Eulerian Finite Element Method for a Mixed Parabolic Problem in a Moving Domain, Rihui Lan and Pengtao Sun
A Novel Arbitrary Lagrangian–Eulerian Finite Element Method for a Parabolic/Mixed Parabolic Moving Interface Problem, Rihui Lan and Pengtao Sun
Two New Finite Element Schemes and Their Analysis for Modeling of Wave Propagation in Graphene, Jichun Li
Recent Advances in Computational Mathematics and Applications, Eric Machorro, Jichun Li, Monika Neda, Pengtao Sun, and Hongtao Yang
Closed-Form Analytical Solutions for Options on Agricultural Futures With Seasonality and Stochastic Convenience Yield, Zonggang Ma, Chaoqun Ma, and Zhijian Wu
An Enhanced Finite Difference Time Domain Method for Two Dimensional Maxwell's Equations, Timothy Meagher, Bin Jiang, and Peng Jiang
Students’ Multidimensional Profiles of Math Engagement: Predictors and Outcomes From a Self‐System Motivational Perspective, Chyna J. Miller, Harsha Perera, and Alireza Maghsoudlou
A Discontinuous Galerkin Method for the Stolz–Adams Approximate Deconvolution Model for Turbulent Flows, Monika Neda and Béatrice Rivière
Acoustic Wave Propagation in Saturated Cracked Porous Media Under Compression, Viktoria L. Savatorova and Aleksei V. Talonov
Interplay of tRNA-Derived Fragments and T Cell Activation in Breast Cancer Patient Survival, Nayang Shan, Ningshan Li, Qile Dai, Lin Hou, Xiting Yan, Amei Amei, Lingeng Lu, and Zuoheng Wang
On Algorithms for Computing the Sums of Powers of Arithmetic Progressions, Peter J. Shiue, Shen C. Huang, and Eric Jameson
Monolithic Arbitrary Lagrangian - Eulerian Finite Element Method for a Multi-domain Blood Flow - Aortic Wall Interaction Problem, Pengtao Sun, Chen-Song Zhang, Rihui Lan, and Lin Li
An Interface-Unfitted Conforming Enriched Finite Element Method for Stokes-Elliptic Interface Problems with Jump Coefficients, Hua Wang, Jinru Chen, Pengtao Sun, and Rihui Lan
Analysis and Application of Single Level, Multi-Level Monte Carlo and Quasi-Monte Carlo Finite Element Methods for Time-Dependent Maxwell's Equations with Random Inputs, Xiang Wang, Jichun Li, and Zhiwei Fang
Time-Domain Finite Element Method and Analysis for Modeling of Surface Plasmon Polaritons, Wei Yang, Jichum Li, and Yunqing Huang
Optimal Investment-Reinsurance Policy with Regime Switching and Value-At-Risk Constraint, Ming Yan, Hongtao Yang, Lei Zhang, and Shuhua Zhang
Pharmacokinetics of CamSA, a Potential Prophylactic Compound Against Clostridioides Difficile Infections, Christopher Yip, Naomi C. Okada, Amber Howerton, Amei Amei, and Ernesto Abel-Santos
Towards a Novel Generalized Chinese Remainder Algorithm for Extended Rabin Cryptosystem, Justin Zhan, Peter J. Shiue, Shen C. Huang, and Benjamin J. Lowe
Submissions from 2019
Existence of Solution for a Class of Quasilinear Schrödinger Equation in ℝN with Zero-Mass, Claudianor O. Alves, David G. Costa, and Olímpio H. Miyagaki
Inference of Genetic Forces Using a Poisson Random Field Model with Non-Constant Population Size, Amei Amei and Jianbo Xu
Inferring the Distribution of Selective Effects from a Time Inhomogeneous Model, Amei Amei and Shilei Zhour
Apollonian Packings in Seven and Eight Dimensions, Arthur Baragar
Divisibility of Generalized Catalan Numbers and Raney Numbers, Jacob Bobrowski, Tianxiao He, and Peter Jau Shyong Shiue
Invariance of Critical Points Under Kelvin Transform and Multiple Solutions in Exterior Domains of R2, Siegfried Carl, David G. Costa, Morteza Fotouhi, and Hossein Tehrani
Rainbow Mean Colorings of Graphs, Gary Chartrand, James Hallas, Ebrahim Salehi, and Ping Zing
Comparison Principle for Stochastic Heat Equation on Rd, Le Chen and Jingyu Huang
Nonlinear Stochastic Time-Fractional Slow and Fast Diffusion Equations on Rd, Le Chen, Yaozhong Hu, and David Nualart
Nonlinear Stochastic Heat Equation Driven by Spatially Colored Noise: Moments and Intermittency, Le Chen and Kunwoo Kim
Two-Stage Procedure for the Risk Ratio of two Binomials, Hokwon Cho
Two-Stage Procedure of Fixed-Width Confidence Intervals for the Risk Ratio, Hokwon Cho
On Fixed-Width Confidence Limits for the Risk Ratio with Sequential Sampling, Hokwon Cho and Zhou Wang
A Note on Breaking of Symmetry for a Class of Variational Problems, David G. Costa and Zhiwei Fang
Impact of Seasonality and Rainfall on Tea Production in Sri Lanka, Rohan J. Dalpatadu, Kasun S. Kodikara, and Ashok K. Singh
Efficient Stochastic Galerkin Methods for Maxwell’s Equations with Random Inputs, Zhiwei Fang, Jichun Li, Tao Tang, and Tao Zhou
Numerical Analysis for the Cahn-Hilliard-Hele-Shaw System with Variable Mobility and Logarithmic Flory-Huggins Potential, Yayu Guo, Hongen Jia, Jichun Li, and Ming Li
Generalizations of the Arithmetic Case of Blackwell's Renewal Theorem, Petros Hadjicosta
On the Applications of the Linear Recurrence Relationships to Pseudoprimes, Tian-Xiao He and Peter Shiue
Multiple Periodic Solutions for Suspension Bridge Systems, Chen Huang, Gao Jia, and Zhonghai Ding
Development and Analysis of Both Finite Element and Fourth-Order in Space Finite Difference Methods for an Equivalent Berenger's PML Model, Yunqing Huang, Min Chen, and Jichun Li
Continuous Mixed Finite Element for the Second Order Elliptic Equation with a Low Order Term, Yunqing Huang, Jichun Li, and Shangyou Zhang
Simulating Backward Wave Propagation in Metamaterial with Radial Basis Functions, Jichun Li and Bing Nan
Developing finite element methods for simulating transformation optics devices with metamaterials, Jichun Li, Wei Yang, Yungqing Huang, and Bin He
Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients, Andrew Lundberg, Pengtao Sun, Cheng Wang, and Chen-song Zhang
On the Likelihood of Symmetrical Cayley Maps for Certain Abelian Groups, Michelle Robinette