Submissions from 2019
On the Instabilities and Transitions of the Western Boundary Current, Daozhi Han, Marco Hernandez, and Quan Wang
Extensions of Schauder's and Darbo's Fixed Point Theorems, Zhaocai Hao, Martin Bohner, and Junjun Wang
Chapter 1: Finite Elements for 1D second order elliptic equation, Xiaoming He
Chapter 2: 2D/3D Finite Element Spaces, Xiaoming He
Chapter 3: Finite Elements for 2D second order elliptic equation, Xiaoming He
Efficient Smooth Non-Convex Stochastic Compositional Optimization via Stochastic Recursive Gradient Descent, Wenqing Hu, Chris Junchi Li, Xiangru Lian, Ji Liu, and Huizhuo Yuan
On the Global Convergence of Continuous-Time Stochastic Heavy-Ball Method for Nonconvex Optimization, Wenqing Hu, Chris Junchi Li, and Xiang Zhou
Large Deviations and Averaging for Systems of Slow-Fast Stochastic Reaction-Diffusion Equations, Wenqing Hu, Michael Salins, and Konstantinos Spiliopoulos
Joint Manufacturing and Onsite Microgrid System Control using Markov Decision Process and Neural Network Integrated Reinforcement Learning, Wenqing Hu, Zeyi Sun, Y. Zhang, and Y. Li
Real-Time Frequency Regulation using Aggregated Electric Vehicles in Smart Grid, Md. Monirul Islam, Xiao Zhong, Zeyi Sun, Haoyi Xiong, and Wenqing Hu
An Empirical Saddlepoint Approximation Based Method for Smoothing Survival Functions under Right Censoring, Pratheepa Jeganathan, Noroharivelo V. Randrianampy, Robert L. Paige, and A. Alexandre Trindade
A Pressure-Correction Ensemble Scheme for Computing Evolutionary Boussinesq Equations, Nan Jiang
An Efficient Ensemble Algorithm for Numerical Approximation of Stochastic Stokes–Darcy Equations, Nan Jiang and Changxin Qiu
A Multi-Step Approach to Modeling the 24-Hour Daily Profiles of Electricity Load using Daily Splines, Abdelmonaem Jornaz and V. A. Samaranayake
The Radial Mass-Subcritical NLS in Negative Order Sobolev Spaces, Rowan Killip, Satoshi Masaki, Jason Murphy, and Monica Visan
Almost Sure Scattering for the Energy-Critical NLS with Radial Data Below H¹(ℝ⁴), Rowan Killip, Jason Murphy, and Monica Visan
A Hierarchical Dimension Reduction Approach for Big Data with Application to Fault Diagnostics, R. Krishnan, V. A. Samaranayake, and Jagannathan Sarangapani
A Multi-Step Nonlinear Dimension-Reduction Approach with Applications to Big Data, R. Krishnan, V. A. Samaranayake, and Jagannathan Sarangapani
On the Existence of Solutions of Variational Inequalities in Nonreflexive Banach Spaces, Vy Khoi Le
On the Solvability of Inclusions with Multivalued Compact Perturbations of Bi-Mappings, Vy Khoi Le
Fast, Unconditionally Energy Stable Large Time Stepping Method for a New Allen-Cahn Type Square Phase-Field Crystal Model, Fubiao Lin, Xiaoming He, and Xiaoxia Wen
New Solution to the Pressure Transient Equation in a Two-Layer Reservoir with Crossflow, Jing Lu, Botao Zhou, Md. Motiur Rahman, and Xiaoming He
Convection in a Coupled Free Flow-Porous Media System, Matthew McCurdy, Nicholas Moore, and Xiaoming Wang
A Family of Generalized Inverse Limits Homeomorphic to "The Monster", Faruq Mena and Robert Paul Roe
A Framework of Integrating Manufacturing Plants in Smart Grid Operation: Manufacturing Flexible Load Identification, Md. Monirul Islam, Zeyi Sun, Wenqing Hu, and Cihan H. Dagli
A Course in Harmonic Analysis, Jason Murphy
Random Data Final-State Problem for the Mass-Subcritical NLS in L², Jason Murphy
The Nonlinear Schrödinger Equation with an Inverse-Square Potential, Jason Murphy
Challenges in Topological Object Data Analysis, Vic Patrangenaru, Peter Bubenik, Robert L. Paige, and Daniel Osborne
A Nonparametric Approach to 3D Shape Analysis from Digital Camera Images -- II, Mingfei Qiu, Robert L. Paige, and Vic Patrangenaru
HDG-POD Reduced Order Model of the Heat Equation, Jiguang Shen, John R. Singler, and Yangwen Zhang
Three-Dimensional Rotation of Paramagnetic and Ferromagnetic Prolate Spheroids in Simple Shear and Uniform Magnetic Field, Christopher A. Sobecki, Yanzhi Zhang, and Cheng Wang
Complex Associations between Environmental Factors and Child Growth: Novel Mixed-Methods Approach, Lee E. Voth-Gaeddert, Khalid K. Al-Jabery, Gayla R. Olbricht, Donald C. Wunsch, and Daniel B. Oerther
DBSDA: Lowering the Bound of Misclassification Rate for Sparse Linear Discriminant Analysis via Model Debiasing, Haoyi Xiong, Wei Cheng, Jiang Bian, Wenqing Hu, Zeyi Sun, and Zhishan Guo
Numerical Approximations for the Hydrodynamics Coupled Binary Surfactant Phase Field Model: Second-Order, Linear, Unconditionally Energy Stable Schemes, Chen Xu, Chuanjun Chen, Xiaofeng Yang, and Xiaoming He
A Diffuse Interface Model and Semi-Implicit Energy Stable Finite Element Method for Two-Phase Magnetohydrodynamic Flows, Jinjin Yang, Shipeng Mao, Xiaoming He, Xiaofeng Yang, and Yinnian He
Convergence Analysis of an Unconditionally Energy Stable Projection Scheme for Magneto-Hydrodynamic Equations, Xiaofeng Yang, Guo-Dong Zhang, and Xiaoming He
A Khmaladze-Transformed Test of Fit with ML Estimation in the Presence of Recurrent Events, K. D. Zamba and Akim Adekpedjou
A Decoupled, Linear and Unconditionally Energy Stable Scheme with Finite Element Discretizations for Magneto-Hydrodynamic Equations, Guo-Dong Zhang, Xiaoming He, and Xiaofeng Yang
An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs, X. Zhang, Y. Zhang, and John R. Singler
Fabrication and Verification of a Glass-Silicon-Glass Micro-/Nanofluidic Model for Investigating Multi-Phase Flow in Shale-Like Unconventional Dual-Porosity Tight Porous Media, Yandong Zhang, Chuanle Zhou, Chuang Qu, Mingzhen Wei, Xiaoming He, and Baojun Bai
Submissions from 2018
Spacelike Curves in the Lightlike Cone, Nemat Abazari, Martin Bohner, Ilgin Sager, and Alizera Sedaghatdoost
Confidence Bands for Quantiles As a Function of Covariates in Recurrent Event Models, Akim Adekpedjou, Gayla R. Olbricht, and Gideon K. D. Zamba
An Existence Result for Impulsive Multi-Point Boundary Value Systems Using a Local Minimization Principle, Ghasem A. Afrouzi, Martin Bohner, Giuseppe Caristi, Shapour Heidarkhani, and Shahin Moradi
Approximation Degree of Durrmeyer-Bézier Type Operators, Purshottam N. Agrawal, Serkan Araci, Martin Bohner, and Kumari Lipi
Mini Review: A Note on Nonoscillatory Solutions for Higher Dimensional Time Scale Systems, Elvan Akin, Ozkan Ozturk, Ismail Ugur Tiryaki, and Gulsah Yeni
Oscillation Criteria for Four-Dimensional Time-Scale Systems, Elvan Akin and Gulsah Yeni
Linear Programming Problems on Time Scales, Rasheed Al-Salih and Martin Bohner
Further Results on Finite-Time Distributed Control of Multiagent Systems with Time Transformation, Ehsan Arabi, Tansel Yucelen, and John R. Singler
Modeling and an Immersed Finite Element Method for an Interface Wave Equation, Jinwei Bai, Yong Cao, Xiaoming He, Hongyan Liu, and Xiaofeng Yang
Parametrization of Scale-Invariant Self-Adjoint Extensions of Scale-Invariant Symmetric Operators, Miron B. Bekker, Martin Bohner, Alexander P. Ugol'nikov, and Hristo Voulov
Rank-Based Inference with Responses Missing Not at Random, Huybrechts F. Bindele and Akim Adekpedjou
A Critical Point Approach to Boundary Value Problems on the Real Line, Martin Bohner, Giuseppe Caristi, Shapour Heidarkhani, and Shahin Moradi
The Generalized Hypergeometric Difference Equation, Martin Bohner and Tom Cuchta
A Nonautonomous Beverton-Holt Equation of Higher Order, Martin Bohner, Fozi M. Dannan, and Sabrina Streipert
Fite-Hille-Wintner-Type Oscillation Criteria for Second-Order Half-Linear Dynamic Equations with Deviating Arguments, Martin Bohner, Taher S. Hassan, and Tongxing Li
Cobweb Model with Conformable Fractional Derivatives, Martin Bohner and Veysel Fuat Hatipoglu
Almost Periodic Functions in Quantum Calculus, Martin Bohner and Jaqueline Godoy Mesquita
Massera's Theorem in Quantum Calculus, Martin Bohner and Jaqueline Godoy Mesquita
A Further Extension of the Extended Riemann-Liouville Fractional Derivative Operator, Martin Bohner, Gauhar Rahman, Shahid Mubeen, and Kottakkaran Sooppy Nisar
An Impulsive Delay Discrete Stochastic Neural Network Fractional-Order Model and Applications in Finance, Martin Bohner and Ivanka M. Stamova
A Huygens Immersed-Finite-Element Particle-In-Cell Method for Modeling Plasma-Surface Interactions with Moving Interface, Huijun Cao, Yong Cao, Yuchuan Chu, Xiaoming He, and Tao Lin
An HDG Method for Distributed Control of Convection Diffusion PDEs, Gang Chen, Weiwei Hu, Jiguang Shen, John R. Singler, Yangwen Zhang, and Xiaobo Zheng
A New Proof of Scattering below the Ground State for the Non-Radial Focusing NLS, Benjamin Dodson and Jason Murphy
A Data Assimilation Enabled Model for Coupling Dual Porosity Flow with Free Flow, Craig Douglas, Xiukun Hu, Baojun Bai, Xiaoming He, Mingzhen Wei, and Jiangyong Hou
A Fast Algorithm for Solving the Space-Time Fractional Diffusion Equation, Siwei Duo, Lili Ju, and Yanzhi Zhang
A Novel and Accurate Finite Difference Method for the Fractional Laplacian and the Fractional Poisson Problem, Siwei Duo, Hans Werner van Wyk, and Yanzhi Zhang
Incremental Proper Orthogonal Decomposition for PDE Simulation Data, Hiba Fareed, John R. Singler, Yangwen Zhang, and Jiguang Shen
Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn-Hilliard-Navier-Stokes-Darcy Phase Field Model, Yali Gao, Xiaoming He, Liquan Mei, and Xiaofeng Yang
Distributed Learning of Deep Sparse Neural Networks for High-Dimensional Classification, Shweta Garg, R. Krishnan, Jagannathan Sarangapani, and V. A. Samaranayake
A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs II: Low Regularity, Wei Gong, Weiwei Hu, Mariano Mateos, John R. Singler, Xiao Zhang, and Yangwen Zhang
A Higher-Order Ensemble/Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations, Max Gunzburger, Nan Jiang, and Michael Schneier
Analysis and Approximation of a Fractional Laplacian-Based Closure Model for Turbulent Flows and Its Connection to Richardson Pair Dispersion, Max Gunzburger, Nan Jiang, and Feifei Xu
Boundary Layers for the 3D Primitive Equations in a Cube: The Zero-Mode, Makram Hamouda, Daozhi Han, Chang-Yeol Jung, and Roger Temam
Immersed Finite Element Particle-in-Cell Simulations of Plasma Charging at the Lunar Terminator, Daoru Frank Han, Joseph J. Wang, and Xiaoming He
Dynamical Transitions of a Low-Dimensional Model for Rayleigh-Bénard Convection under a Vertical Magnetic Field, Daozhi Han, Marco Hernandez, and Quan Wang
A Second Order in Time, Decoupled, Unconditionally Stable Numerical Scheme for the Cahn-Hilliard-Darcy System, Daozhi Han and Xiaoming Wang
Observer-Based Feedback Boundary Stabilization of the Navier-Stokes Equations, Xiaoming He, Weiwei Hu, and Yangwen Zhang
Preface of 2nd Annual Meeting of Siam Central States Section, Xiaoming He, Stephen Pankavich, Erik Van Vleck, Zhu Wang, and Xiu Ye
Numerical Approximations for a Smectic-A Liquid Crystal Flow Model: First-Order, Linear, Decoupled and Energy Stable Schemes, Qiumei Huang, Xiaofeng Yang, and Xiaoming He
Trace Pursuit Variable Selection for Multi-Population Data, Lei Huo, Xuerong Meggie Wen, and Zhou Yu
A Superconvergent HDG Method for Distributed Control of Convection Diffusion PDEs, Weiwei Hu, Jiguang Shen, John R. Singler, Yangwen Zhang, and Xiaobo Zheng
A Convergence Analysis of the Perturbed Compositional Gradient Flow: Averaging Principle and Normal Deviations, Wenqing Hu and Chris Junchi Li
Dynamics of Geodesic Flows with Random Forcing on Lie Groups with Left-Invariant Metrics, Wenqing Hu and V. Sverak
An Efficient, Partitioned Ensemble Algorithm for Simulating Ensembles of Evolutionary MHD Flows at Low Magnetic Reynolds Number, Nan Jiang and Michael Schneier
The Initial-Value Problem for the Cubic-Quintic NLS with Nonvanishing Boundary Conditions, Rowan Killip, Jason Murphy, and Monica Visan
A Minimax Approach for Classification with Big-Data, Raghavan Krishnan, Jagannathan Sarangapani, and V. A. Samaranayake
A Multi-Step Nonlinear Dimension-Reduction Approach with Applications to Bigdata, R. Krishnan, V. A. Samaranayake, and Jagannathan Sarangapani
Direct Error Driven Learning for Deep Neural Networks with Applications to Bigdata, R. Krishnan, Jagannathan Sarangapani, and V. A. Samaranayake
On Parabolic Variational Inequalities with Multivalued Terms and Convex Functionals, Vy Khoi Le and Klaus Schmitt
A Stabilized Finite Volume Element Method for a Coupled Stokes-Darcy Problem, Ru Li, Jian Li, Xiaoming He, and Zhangxin Chen
Scattering in H¹ for the Intercritical NLS with an Inverse-Square Potential, Jing Lu, Changxing Miao, and Jason Murphy
Factorial Design and Optimization of Ultra-High-Performance Concrete with Lightweight Sand, Weina Meng, V. A. Samaranayake, and Kamal Khayat
Lipschitz Functions on SU(2) Have Uniformly Convergent Fourier Series, Donnie Myers and David E. Grow
Small Sample Confidence Intervals for Survival Functions under the Proportional Hazards Model, Robert L. Paige and Emad Abdurasul
Small Sample Equivalence Tests for Exponentiality, Robert L. Paige and Renren Zhao
Individual Preferences for Mineral Resource Development: Perspectives from an Urban Population in the United States, Sisi Que, Kwame Awuah-Offei, Liang Wang, V. A. Samaranayake, and Nathan W. Weidner
Iron Phosphate Glass Waste Forms for Vitrifying Hanford AZ102 Low Activity Waste (LAW), Part II: Property-Composition Model, C. S. Ray, V. A. Samaranayake, Ali Mohammadkhah, Thomas E. Day, and D. E. Day
Dynamics of Paramagnetic and Ferromagnetic Ellipsoidal Particles in Shear Flow under a Uniform Magnetic Field, Christopher A. Sobecki, Jie Zhang, Yanzhi Zhang, and Cheng Wang
Boundary Control of 2-D Burgers' PDE: An Adaptive Dynamic Programming Approach, Behzad Talaei, Jagannathan Sarangapani, and John R. Singler