Faculty research from the Mathematical Sciences department.
Submissions from 2019
Capturing Heterogeneity of Covariate Effects in Hidden Subpopulations in the Presence of Censoring and Large Number of Covariates, Farhad Shokoohi, Abbas Khalili, Masoud Asgharian, and Shili Lin
Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for Stokes/Parabolic Interface Problems With Jump Coefficients, Pengtao Sun and Cheng Wang
Effects of Numerical Intergration on DLM/FD Method for Solving Interface Problems with Body-Unfitted Meshes, Cheng Wang, D. Nicholas McLetchie, Sarah M. Eppley, and Lloyd R. Stark
Myopic Versus Farsighted Behaviors in a Low-Carbon Supply Chain with Reference Emission Effects, Jun Wang, Xianxue Cheng, Xinyu Wang, Hongtao Yang, and Shuhua Zhang
Minimizing Total Carbon Emissions in an Integrated Machine Scheduling and Vehicle Routing Problem, Jun Wang, Song Yao, Jiachuan Sheng, and Hongtao Yang
Retrospective Association Analysis of Longitudinal Binary Traits Identifies Important Loci and Pathways in Cocaine Use, Weimiao Wu, Zhong Wang, Ke Xu, Xinyu Zhang, Amei Amei, Joel Gelernter, Hongyu Zhao, Amy C. Justice, and Zuoheng Wang
A Simplified Crossing Fiber Model in Diffusion Weighted Imaging, Sheng Yang, Kaushik Ghosh, Ken Sakaie, Satya S. Sahoo, Sarah J. Ann Carr, and Curtis Tatsuoka
Collaboration in a Low-Carbon Supply Chain with Reference Emission and Cost Learning effects: Cost Sharing Versus Revenue Sharing Strategies, Baoqin Yu, Jun Wang, Xinman Lu, and Hongtao Yang
Solitary Waves for One-Dimensional Nematicon Equations, Guoqing Zhang, Ningning Song, and Zhonghai Ding
Submissions from 2018
On a Temporal Investigation of Hurricane Strength and Frequency, Moinak Bhaduri and Chih-Hsiang Ho
A Sensitivity Study of the Navier-Stokes-alpha Model, Sean Breckling, Monika Neda, and Fran Pahlevani
Extremal Solutions of Logistic-Type Equations in Exterior Domain in R2, Siegfried Carl, David G. Costa, and Hossein Tehrani
Selection of Transformations of Continuous Predictors in Logistic Regression, Michael Chang, Rohan J. Dalpatadu, and Ashok K. Singh
On the Primality of the Generalized Fuss-Catalan Numbers, Wun-Seng Chou, Tian-Xiao He, and Peter J. S. Shiue
A Linearized Local Conservative Mixed Finite Element Method for Poisson–Nernst–Planck Equations, Huadong Gao and Pengtao Sun
Correction to: A Linearized Local Conservative Mixed Finite Element Method for Poisson–Nernst–Planck Equations, Huadong Gao and Pengtao Sun
On Cyclic Strings Avoiding a Pattern, Petros Hadjicostas and Lingyun Zhang
Mixed Finite Element Analysis for the Poisson-Nerst-Planck/Stokes Coupling, Mingyan He and Pengtao Sun
Numerical Analysis of a Leapfrog ADI–FDTD Method for Maxwell's Equations in Lossy Media, Yunqing Huang, Meng Chen, Jichun Li, and Yanping Lin
A New FDTD Scheme for Maxwell’s Equations in Kerr-type Nonlinear Media, Hongen Jia, Jichun Li, Zhiwei Fang, and Ming Li
Decoupled Characteristic Stabilized Finite Element Method for Time‐dependent Navier–Stokes/Darcy Model, Xiaofeng Jia, Jichun Li, and Hongen Jia
Numerical Simulation of an Immersed Rotating Structure in Fluid for Hemodynamic Applications, Wei Lang, Chen-Song Zhang, Pengtao Sun, Bin Gao, and Jinchao Xu
Developing and Analyzing Fourth-order Difference Methods for the Metamaterial Maxwell's Equations, Jichun Li, Meng Chen, and Min Chen
Analysis and Application of Stochastic Collocation Methods for Maxwell’s Equations with Random Inputs, Jichun Li and Zhiwei Fang
Regularity Analysis of Metamaterial Maxwell's Equations with Random Coefficients and Initial Conditions, Jichun Li, Zhiwei Fang, and Guang Lin
Improved Analysis and Simulation of a Time-Domain Carpet Cloak Model, Jichun Li, Chen Meng, and Yunqing Huang
A Weak Galerkin Least-squares Finite Element Method for Div-curl Systems, Jichun Li, Xiu Ye, and Shangyou Zhang
Improved Analysis And Simulation Of A Time-domain Carpet Cloak Model, J Li, C Meng, and Y Huang
Probabilistic Interpretation of Solutions of Linear Ultraparabolic Equations, Michael D. Marcozzi
Experimental Study of Bio-Polymer Knee Implant, Maria Ramos Gonzalez, Brendan OToole, and Zhiyong Wang
Discontinuous Galerkin Methods for Maxwell's Equations in Drude Metamaterials on Unstructured Meshes, Cengke Shi, Jichun Li, and Chi-Wang Shu
Fictitious Domain Finite Element Method for Stokes/Elliptic Interface Problems with Jump Coefficients, Pengtao Sun
Quasi-optimal Convergence Rate for an Adaptive Hybridizable C0 Discontinuous Galerkin Method for Kirchhoff Plates, Pengtao Sun and Xuehai Huang
Modular Nonlinear Filter Based Time Relaxation Scheme for High Reynolds Number Flows, Aziz Takhirov, Monika Neda, and Jiajia Waters
An Iterative Approach for Constructing Immersed Finite Element Spaces and Applications to Interface Problems, Cheng Wang, Pengtao Sun, and Zhilin Li
A Conforming Enriched Finite Element Method for Stokes/Elliptic Interface Problems, Hua Wang, Jinru Chen, Pengtao Sun, and Fangfang Qin
A Conforming Enriched Finite Element Method for Stokes Interface Problems, Hua Wang, Jinru Chen, Pengtao Sun, and Nan Wang
Development and Analysis of Crank‐Nicolson Scheme for Metamaterial Maxwell's Equations on Nonuniform Rectangular Grids, Xiang Wang, Jichun Li, and Zhiwei Fang
Mathematical Analysis and Finite Element Time Domain Simulation of Arbitrary Star-Shaped Electromagnetic Cloaks, Wei Yang, Jichun Li, and Yungqing Huang
Existence and Concentration of Positive Solutions for Nonlinear Kirchhoff Type Problems with a General Critical Nonlinearity, Jianjun Zhang, David G. Costa, and Joao Marcos do O'
Existence and Concentration of Positive Solutions for Nonlinear Kirchhoff-Type Problems with a General Critical Nonlinearity, Jianjun Zhang, David G. Costa, and João Marcos do Ó
Submissions from 2017
Higher dimensional Apollonian packings, revisited, A Baragar
A Novel Weak Estimator for Dynamic Systems, Moinak Bhaduri, Justin Zhan, and Carter Chiu
A Novel Online and Non-Parametric Approach for Drift Detection in Big Data, Moinak Bhaduri, Justin Zhan, Carter Chiu, and Felix Zhan
Merits of the History of Mathematics Projects, Satish C. Bhatnagar
Numerical Study of the Navier-Stokes-α Deconvolution Model with Pointwise Mass Conservation, Sean Breckling and Monika Neda
A Review of Time Relaxation Methods, Sean Breckling, Monika Neda, and Tahj Hill
D1,2(RN) Versus C(RN) Local Minimizer and Zero-Mass Equations, Siegfried Carl, David G. Costa, and Hossein Tehrani
Multiple positive solutions for a class of variational systems, A Castro, D Costa, and R Shivaji
Application of the virial theorem for improving eigenvalue calculations of multiparticle systems, G Chen, Z Ding, T Huang, L Yu, V Ramakrishna, and J Ward
Asymptotics of ground states for fractional Hénon systems, D G. Costa, O H. Miyagaki, M Squassina, and J Yang
A variational approach to superlinear semipositone elliptic problems, D G. Costa, H Ramos Quoirin, and H Tehrani
Palynologic delineation of the Devonian–Carboniferous boundary, West-Central Montana, USA, Pasquo M. di, G W. Grader, A Warren, B Rice, P Isaacson, and P T. Doughty
Existence of Nonnegative Solution for a p-Laplacian Semipositone Problem with Nonlinear Boundary Condition, Abdou K. Drame, Daniela A. Bardac-Vlada, and David G. Costa
A Further Study of the tBurst of GRBs: Rest-frame Properties, External Plateau Contributions, and Multiple Parameter Analysis, H Gao, A B. Ren, W H. Lei, B B. Zhang, Hou-Jun Lü, and Y Li
An approach to the construction of linear divisibility sequences of higher orders, T X. He and P J.S. Shiue
A Quantitative Insight into the Dependence Dynamics of the Kilauea and Mauna Loa Volcanoes, Hawaii, C H. Ho and M Bhaduri
Effects of patellofemoral taping on patellofemoral joint alignment and contact area during weight bearing, K Y. Ho, R Epstein, R Garcia, N Riley, S P. Lee, and C Turner
Developing weak Galerkin finite element methods for the wave equation, Y Huang, J Li, and D Li
Analysis and Application of an Equivalent Berenger's PML Model, Yunqing Huang, Hongen Jia, and Jichun Li
Relative risk for HIV in India – An estimate using conditional auto-regressive models with Bayesian approach, C Kandhasamy and K Ghosh
Mixed Finite Element Analysis for an Elliptic/Mixed Elliptic Interface Problem with Jump Coefficients, R Lan, P Sun, and M Mu
Numerical study of signal propagation in corrugated coaxial cables, J Li, E A. Machorro, and S Shields
Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials, J Li, C Shi, and C W. Shu
High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation, Yang Liu, Min Zhang, Hong Li, and Jichun Li
Well-Posedness and Solvability of Linear Ultraparabolic Equations on Bounded Domains, Michael D. Marcozzi
Well-Posedness of Linear Ultraparabolic Equations on Bounded Domains, Michael D. Marcozzi
Stalemates in Bilateral Bargaining, Angel S. Muleshkov and Kurt R. Sweat
Diffusive Logistic Equations with Harvesting and Heterogeneity Under Strong Growth Rate, Saeed Shabani Rokn-e-vafa and Hossein T. Tehrani
A heterogeneous diffusive logistic model of a single species population dynamics with predation and harvesting terms, S S. Rokn e vafa and H T. Tehrani
Low-frequency wave propagation in geological media with isolated cracks, V L. Savatorova, A V. Talonov, and A N. Vlasov
Weak Galerkin methods for time-dependent Maxwell's equations, S Shields, J Li, and E A. Machorro
Superconvergence Analysis of High-Order Rectangular Edge Elements for Time-Harmonic Maxwell’s Equations, Ming Sun, Jichun Li, Peizhen Wang, and Zhimin Zhang
Elastic waves in fractured rocks under periodic compression, Aleksei Talonov, Elena Kossovich, and Viktoria Savatorova
High-Frequency Approximation of Plane Wave Propagation in an Elastic Medium with Periodic Distribution of Cracks, Alexei V. Talonov and Viktoria L. Savatorova
A Heterogeneous Diffusive Logistic Model of a Single Species Population Dynamics with Predation and Harvesting Terms, Hossein Torabi Tehrani and Saeed Shabani Rokn-e-vafa
Environmental Effects On Drosophila Brain Development And Learning, Xia Wang, Amei Amei, J. Steven De Belle, and Stephen P. Roberts
Combined MPM-DEM for simulating the interaction between solid elements and fluid particles, Youqing Yang, Pengtao Sun, and Zhen Chen
Submissions from 2016
AUTOMORPHISMS of surfaces in a class of Wehler K3 surfaces with Picard number 4, Arthur Baragar
Plums, Peaches and Pears of Education, Volume I, Satish C. Bhatnagar
Plums, Peaches and Pears of Education, Satish C. Bhatnagar
D1,2(RN) versus C(RN) local minimizer and a Hopf-type maximum principle, S Carl, David Costa, and H Tehrani
D^{1,2}(R^N) versus C(R^N) local minimizer and a Hopf-type Maximum Principle (with S. Carl and H. Tehrani), Siegfried Carl, David G. Costa, and Hossein Tehrani
Semi-parametric Bayesian density estimation using ranked set sample in the presence of ranking error, Manoj Chacko and Kaushik Ghosh
Forecasting a point process with an ARIMA model, Chih-Hsiang Ho
Theoretical and numerical analysis of a non-local dispersion model for light interaction with metallic nanostructures, Y Huang, Jichun Li, and W Yang
Superconvergence analysis of Yee scheme for metamaterial Maxwell’s equations on non-uniform rectangular meshes, Jichan Li and S Shields
A literature survey of mathematical study of metamaterials, Jichun Li
Mathematical analysis and finite element simulation of a magnetized ferrite model, Jichun Li, Y Huang, and W Yang
Reaction mechanism studies towards effective fabrication of lithium-rich anti-perovskites Li3OX (X = Cl, Br), Shuai Li, Jinlong Zhu, Yonggang Wang, John Howard, X Lü, Y Li, Ravhi Kumar, Liping Wang, L L. Daemen, and Y Zhao
Sensitivity analysis of the grad-div stabilization parameter in finite element simulations of incompressible flow, Monika Neda, F Pahlevani, L G. Rebholz, and J Waters
Processing neurology clinical data for knowledge discovery: Scalable data flows using distributed computing, S S. Sahoo, A Wei, C Tatsuoka, Kaushik Ghosh, and S D. Lhatoo
Multiscale Modeling of Gas Flow Through Organic-Rich Shale Matrix, Viktoria Savatorova, Alexei Talonov, Alexander Vlasov, and Dmitry Volkov-Bogorodsky
Upscaling of dual-porosity models for gas transport in organic-rich shales, Viktoria Savatorova, A V. Talonov, and A N. Vlasov
Error Analysis of Finite Element Method for Poisson-Nernst-Planck Equations, Yuzhou Sun, Pengtao Sun, Bin Zheng, and Guang Lin
Time relaxation algorithm for flow ensembles, A Takhirov, Monika Neda, and J Waters
Connecting orbits for a class of singular time-periodic second-order Hamiltonian systems, H Tehrani
Connecting orbits for a class of singular time periodic second order Hamiltonian systems, Hossein T. Tehrani
Modeling and Estimation of the Vehicle-Miles Traveled Tax Rate Using Stochastic Differential Equations, Sadanand Verma, Hongtao Yang, Pushkin Kachroo, and S Agarwal
A new combined finite element-upwind finite volume method for convection-dominated diffusion problems, C Wang, M He, and Pengtao Sun