Schedule
Saturday, November 18, 2023
Sunday, November 19, 2023
Saturday Morning Parallel Sessions
(10:30 - 12:30)
Room 102
Chair: Tom Lewis
Exploiting Low-Dimensional Structures in Machine Learning, Wenjing Liao, Georgia Institute of Technology
A Stochastic Maximum Principle Approach for Reinforcement Learning with Parameterized Environment, Feng Bao, Florida State University
Energy-Dissipative Spectral Renormalization Exponential Integrator Method for Gradient Flow Problems, Lili Ju, University of South Carolina
Numerical Schemes for Stochastic Hydrodynamic Models, Hakima Bessaih, Florida International University
Room 104
Chair: Dinh-Liem Nguyen
The Time Dimensional Reduction Method to Determine the Initial Conditions Without The Knowledge of Damping Coefficients, Loc Nguyen, University of North Carolina at Charlotte
Recovery of Time-dependent Coefficients in Hyperbolic Equations on Conformally Transversally Anisotropic Manifolds, Teemu Saksala, North Carolina State University
Some Inverse Problems for Wave Propagation, Mozhgan Nora Entekhabi, Florida A&M University
Ensemble Kalman Filter Based Inflow Estimator for a One-Dimensional Arterial Network, Hien Tran, North Carolina State University
Room 105
Chair: Tien Khai Nguyen
On the Binary-Ternary Boltzmann Equation, Maja Tasković, Emory University
Data Depths Meet Hamilton-Jacobi Equations, Ryan Murray, North Carolina State University
Floquet Topological Insulators in Photonics, Justin Cole, University of Colorado at Colorado Springs
One and Multi-Dimensional Systems of Conservation Laws with Unbounded Solutions, Charis Tsikkou, West Virginia University
Room 106
Chair: Aseel Farhat
On a Boundary Layer Problem in Non-Flat Domains With Measurable Viscous Coefficients, Tuoc Phan, University of Tennessee - Knoxville
The Maslov Index in Spectral Theory, Selim Sukhatiev, Auburn University
Positive Solutions for a Derivative Dependent p-Laplacian Equation with Riemann-Stieltjes Integral Boundary Conditions, Jaffar Ali S Hameed, Florida Gulf Coast University
Global Solutions of Quasi-linear Hamiltonian mKdV Equations, Qingtian Zhang, West Virginia University
Room 211
Chair: Wojciech Ozanski
A Quantitative Analysis of the Transversality Theorem, Andrew Murdza, North Carolina State University
Global Well-posedness of Two-Dimensional Magneto-Micropolar Equations with Partial Dissipation, Dipendra Regmi, University of North Georgia
A Constructive Existence Result for a Nonlinear Elliptic PDE with a Nonlinear Boundary Condition: Monotone Case, Timothy Myers, Howard University
Luenberger Compensator Theory for Heat-Structure Interaction via Boundary/Interface Feedback Controls, Xiang Wan, Loyola University Chicago
Room 212
Chair: Alexandra Smirnova
Personalized Medicine for Kidney Transplant Recipients using Mathematical Modeling for Control of BK Virus, Dana Droz, North Carolina State University
A Novel Relaxation Scheme for The SIR Compartmental Models, Quan Pham, Florida State University
Geometric and Topological Analysis of Cell State Transitions in Single-Cell Data, Tram Huynh, North Carolina State University
Shooting Method for Analyzing Unsteady Nanofluid Heat Transfer Problems, Anil Devarapu, University of North Georgia
Room 213
Chair: Sanghyun Lee
Numerical Moment Stabilization of Central Difference Approximations for Linear Stationary Reaction-Convection-Diffusion Equations, Xiaohuan Xue, University of North Carolina at Greensboro
Singular Newton-Anderson and Bifurcation Phenomena, Matt Dallas, University of Florida
Novel Discontinuous Galerkin Methods for An Optimal Control Problem and A Convection-Diffusion Equation, Satyajith Bommana Boyana, University of North Carolina at Greensboro
Optimizing Gradient Elution Chromatography: A Finite Volume Approach for Complex Separation Dynamics, Muhammad Abid, North Carolina State University
Saturday Afternoon Parallel Sessions
(03:30 - 05:30)
Room 102
Chair: Sara Pollock
Adaptive Time-Stepping Exponential Runge-Kutta Methods for Stiff PDEs, Vu Thai Luan, Mississippi State University
Narrow-Stencil Approximation Methods for Fully Nonlinear Elliptic Boundary Value Problems, Tom Lewis, University of North Carolina at Greensboro
Numerical Differentiation by the Polynomial-Exponential Basis, Phuong Nguyen, University of North Carolina at Charlotte
C0 Interior Penalty Methods for An Elliptic Distributed Optimal Control Problem with General Tracking and Pointwise State Constraints, SeongHee Jeong, Florida State University
Room 104
Chair: Teemu Saksala
Modeling and Reconstruction of Incidence Reporting Rate for SARS-CoV-2 Delta Variant, Alexandra Smirnova, Georgia State University
A Global Convergent Numerical Method Based on A Carleman Estimate and The Contraction Mapping Principle for Solving An Inverse Scattering Problem in The Time Domain with Experimental Data, Thuy Le, North Carolina State University
Transmission Eigenvalue Problems in Inverse Scattering and Adaptation to Locally Perturbed Periodic Media, Thi-Phong Nguyen, New Jersey Institute of Technology
A Fast Sampling Method for Imaging Small Sources from Cauchy Data at A Fixed Frequency, Thu Thi Anh Le, Kansas State University
Room 105
Chair: Loc Nguyen
Imaging Periodic Structures with Super-resolution in Electromagnetic Inverse Scattering, Dinh-Liem Nguyen, Kansas State University
An Inverse Problem for The Local Source-to-Solution for The Magnetic Schrödinger Wave Equation on Complete Riemannian Manifolds, Andrew Shedlock, North Carolina State University
Reconstructing Forces from Partial Observations in Hydrodynamics, Aseel Farhat, Florida State University
Stability Estimates for A Biharmonic Operator with First Order Perturbation, Boya Liu, North Carolina State University
Room 106
Chair: Ryan Murray
Shocks Interaction for the Burgers-Hilbert Equation, Tien Khai Nguyen, North Carolina State University
Asymptotic Expansion of A Singular Potential Near The Nematic-Isotropic Phase Transition Point in The Landau-de Gennes Theory, Giang Vu Thanh Nguyen, Old Dominion University
The Poiseuille Flow of The Full Ericksen-Leslie Model for Nematic Liquid Crystals: The General Case, Majed Sofiani, University of Kansas
Fluid-Plate Interaction with Kelvin-Voigt Damping Bending Moment at the Interface: Well-posedness, Spectral Analysis, Uniform Stability, Rasika Mahawattege, University of Maryland, Baltimore County
Room 211
Chair: Hakima Bessaih
Nonlinear Evolution Equations from Epitaxial Growth, Md Mashud Parvez, Old Dominion University
Efficient Exponential Methods for Genetic Regulatory Systems, Van Hoang Nguyen, Mississippi State University
Application of Adomian Decomposition Method to Certain Ordinary and Partial Differential Equations, Vani Cheruvu, University of Toledo
On The Effects of Density-Dependent Emigration on Ecological Models with Logistic and Weak Allee Type Growth Terms, Alketa Henderson, University of North Carolina at Greensboro
Room 212
Chair: Wenjing Liao
Learning High-Dimensional Banach-Valued Functions from Limited Data with Deep Neural Networks, Nicholas Dexter, Florida State University
Optimal Sets in Adversarial Classification, Rachel Morris, North Carolina State University
The Kolmogorov Superposition Theorem Can Break the Curse of Dimension When Approximating High Dimensional Functions, Zhaiming Shen, University of Georgia
On Analytical Properties of Non-Convex Dimension Reduction Methods, Adam Pickarski, North Carolina State University
Room 213
Chair: Hien Tran
Generalizing the Kalman Filter with Invertible Neural Networks, Hristo Chipilski, Florida State University
An Approximate Bayesian Computation Approach for Embryonic Cell Migration Model Selection, Tracy Stepien, University of Florida
A Stratification Method for Developing Training Datasets for Segmentation of Protein Secondary Structure Elements from Cryo-EM Density Maps, Thu Nguyen, Old Dominion University
Modeling The Effects of Trait-Mediated Dispersal on Coexistence: Competitors and Predator-Prey, Dustin Nichols, University of North Carolina at Greensboro
Sunday Morning Parallel Sessions
(10:30 - 12:30)
Room 102
Chair: Vu Thai Luan
Filtered Anderson Acceleration for Numerical PDE, Sara Pollock, University of Florida
Enriched Galerkin Methods for Poroelasticity, Sanghyun Lee, Florida State University
Analysis and Simulation of A Variational Stabilization for The Helmholtz Equation with Noisy Cauchy Data, Thuc Nguyen, Florida State University
A Comparative Study of High-Order Compact Numerical Approximations for Generalized Burgers Equations, Madhav Wagley, Florida A&M University
Room 104
Chair: Tracy Stepien
Self-Organized Criticality Explains the Emergence of Irregular Vegetation Patterns in Semi-Arid Regions, Malbor Asllani, Florida State University
Differential Equation Compartmental Models with General Lifetime Distributed Disease Stages, Divine Wanduku, Georgia Southern University
Chemical Absorption in the Layers of Human Skin, Jessica Stevens, North Carolina State University
TBD, Calistus Ngonghala, University of Florida
Room 105
Chair: Charis Tsikkou
Piecewise Smooth Solutions to Scalar Balance Laws with Singular Source Terms, Evangelia Ftaka, North Carolina State University
Instantaneous Gap Loss of Sobolev Regularity for the 2D Incompressible Euler Equations, Wojciech Ozanski, Florida State University
Lagrangian Transformations for Non Convex Scalar Conservation Laws, Prerona Dutta, Ohio State University
Dynamics and Resonance of Thermally Stratified Convective Flows, Dania Sheaib, Florida Gulf Coast University
Room 106
Chair: Justin Cole
Nonlocal Integrable Equations and Their Riemann-Hilbert Problems and Solitons, Wen-Xiu Ma, University of South Florida
Well-posedness and Solitary Waves in the Nonlinear Schrödinger Equation with Higher Order Dispersion, Iryna Petrenko, Florida International University
Shallow-Ocean Soliton and Localized Waves in Extended (2+1)-Dimensional Nonlinear Evolution Equations, Lanre Akinyemi, Hampton University
Continuous and Discrete Integrable Systems with Shifted Arguments, Nicholas Ossi, Florida State University