| Sunday, November 2, 2025 | |
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             ›8:00 (30min) 
                                                                
                                                             8:00 - 8:30 (30min) 
                        
                            Registration                         
                                                                                                    ›8:30 (2h) 
                                                                
                                                             8:30 - 10:30 (2h) 
                        
                            Minisymposium Sessions                         
                                                                                                     8:30 - 10:30 (2h) 
                        
                            Recent Developments in Applied Inverse Problems and Imaging                         
                                                           110
                                                                                Session 2 
                                                                                                                            
                                        › Integral equations for linear flexural-gravity waves
                                         - Hoskins Jeremy, University of Chicago
                                        
                                            08:30-08:54 (24min)
                                        
                                     
                                                                    
                                        › Super-resolution Imaging in Disordered Media
                                         - Alexei Novikov, Penn State
                                        
                                            08:54-09:18 (24min)
                                        
                                     
                                                                    
                                        › A fast reconstruction method for radiating sources in Maxwell's equations
                                         - Le Thu, University of Wisconsin-Madison
                                        
                                            09:18-09:42 (24min)
                                        
                                     
                                                                    
                                        › Learning Surrogates and Operator-to-Function Maps for Imaging Inverse Problems
                                         - Anuj Abhishek, Case Western Reserve University [Cleveland]
                                        
                                            09:42-10:06 (24min)
                                        
                                     
                                                                    
                                        › A nonlocal boundary value method for fractional parabolic equations
                                         - Thi-Phong Nguyen, New Jersey Institute of Technology
                                        
                                            10:06-10:30 (24min)
                                        
                                     
                                                             8:30 - 10:30 (2h) 
                        
                            Experimental sciences and mathematical modeling                         
                                                           112
                                                                                                                                                        
                                        › Linear and nonlinear waves in microwave transmission lines
                                         - Stephen Sorokanich, Air Force Research Lab
                                        
                                            08:30-08:54 (24min)
                                        
                                     
                                                                    
                                        › Two-Dimensional foams and coagulation equations with particle emission
                                         - Joe Klobusicky, University of Scranton
                                        
                                            08:54-09:18 (24min)
                                        
                                     
                                                                    
                                        › Modeling to understand, predict, and control invasive spotted lanternfly populations
                                         - Daniel Stroembom, Lafayette College, Department of Biology
                                        
                                            09:18-09:42 (24min)
                                        
                                     
                                                                    
                                        › Capillary Rise Dynamics Through Fully and Partially Saturated Deformable Porous Material
                                         - Javed Siddique, JAVED I SIDDIQUE
                                        
                                            09:42-10:06 (24min)
                                        
                                     
                                                                    
                                        › Using Neural Networks and Persistence Homology to Predict Membrane Filter Throughput
                                         - Giovanni Nardone, New Jersey Institute of Technology
                                        
                                            10:06-10:30 (24min)
                                        
                                     
                                                             8:30 - 10:30 (2h) 
                        
                            Multiscale Techniques in Scientific Machine Learning                         
                                                           113
                                                                                                                                                        
                                        › Hybrid Iterative Solvers with Geometry-Aware Neural Preconditioners for Parametric PDEs
                                         - Youngkyu Lee, Brown University
                                        
                                            08:30-08:54 (24min)
                                        
                                     
                                                                    
                                        › Deep Neural Networks with General Activations: Super-Convergence in Sobolev Norms
                                         - Yahong Yang, School of Mathematics - Georgia Institute of Technology
                                        
                                            08:54-09:18 (24min)
                                        
                                     
                                                                    
                                        › Integral Representations of Sobolev Spaces via ReLU^k Activation Function and Optimal Error Estimates for Linearized Networks
                                         - Tong Mao
                                        
                                            09:18-09:42 (24min)
                                        
                                     
                                                                    
                                        › Dualization: from subspace correction to operator splitting and alternating direction methods of multipliers
                                         - Boou Jiang, King Abdullah University of Science and Technology [Saudi Arabia]
                                        
                                            09:42-10:06 (24min)
                                        
                                     
                                                             8:30 - 10:30 (2h) 
                        
                            Advances in Numerical Linear Algebra and Applications                         
                                                           117
                                                                                                                                                        
                                        › Kernel Approximation Using the Proxy Point Method via Contour Integration
                                         - Mikhail Lepilov
                                        
                                            08:30-08:54 (24min)
                                        
                                     
                                                                    
                                        › Estimating High-Dimensional Covariance Matrices with Hierarchical Rank Structure
                                         - 
                                        
                                            08:54-09:18 (24min)
                                        
                                     
                                                                    
                                        › A Unified Spectral Approach to Scalar, Linear Volterra Equations
                                         - David Darrow, Massachusetts Institute of Technology
                                        
                                            09:18-09:42 (24min)
                                        
                                     
                                                                    
                                        › Modified Lanczos recursions for discrete exterior PDE problems and other large-scale LTI systems with dense spectra
                                         - Vladimir Druskin, Worcester Polytechnic Institute, Southern Methodist University [Dallas, TX, USA]
                                        
                                            09:42-10:06 (24min)
                                        
                                     
                                                                    
                                        › Near-optimal Spectral Density Estimation via Explicit and Implicit Deflation
                                         - Rajarshi Bhattacharjee, University of Massachusetts Amherst
                                        
                                            10:06-10:30 (24min)
                                        
                                     
                                                             8:30 - 10:30 (2h) 
                        
                            Recent Advances of Innovative Numerical Methods for Nonlinear PDEs                         
                                                           118
                                                                                Session 3 
                                                                                                                            
                                        › Recent progress in the analysis of the Poisson-Nernst-Planck system
                                         - Rolf Ryham, Fordham University [New York]
                                        
                                            08:30-08:54 (24min)
                                        
                                     
                                                                    
                                        › An integral equation method and an asymptotic analysis approach for erosion in porous media
                                         - Szu-Pei Fu, Farmingdale State College
                                        
                                            08:54-09:18 (24min)
                                        
                                     
                                                                    
                                        › Solver-in-the-Loop joint operator learning: fractional Laplace-Beltrami features for interface reconstruction
                                         - Shuhao Cao, University of Missouri System
                                        
                                            09:18-09:42 (24min)
                                        
                                     
                                                                    
                                        › Surface Navier-Stokes Without Inf-Sup Condition
                                         - Mansur Shakipov, University of Maryland [College Park]
                                        
                                            09:42-10:06 (24min)
                                        
                                     
                                                                    
                                        › A general framework to derive linear, decoupled and energy-stable schemes for reversible-irreversible thermodynamically consistent models
                                         - Jia Zhao, University of Alabama
                                        
                                            10:06-10:30 (24min)
                                        
                                     
                                                             8:30 - 10:30 (2h) 
                        
                            Computational Thermodynamics: Energy and Energy Landscape                         
                                                           119
                                                                                Session 3 
                                                                                                                            
                                        › Accelerating Energy Solutions with High-Entropy Materials: Leveraging Disorder, Computation, and AI
                                         - Corey Oses, Johns Hopkins University
                                        
                                            08:30-08:54 (24min)
                                        
                                     
                                                                    
                                        › Thermodynamics of Mg2SiO4 under extreme pressures: Implications for super-Earths' interiors
                                         - Donghao Zheng
                                        
                                            08:54-09:18 (24min)
                                        
                                     
                                                                    
                                        › Ferroelastic Hysteresis and Shear-Modulus Softening in CaSiO3 Perovskite
                                         - Tianqi Wan, Lamont-Doherty Earth Observatory
                                        
                                            09:18-09:42 (24min)
                                        
                                     
                                                                    
                                        › PyZentropy: Implementing recursive entropy for first-principles thermodynamics in Python
                                         - Nigel Hew, Pennsylvania State University
                                        
                                            09:42-10:06 (24min)
                                        
                                     
                                                             8:30 - 10:30 (2h) 
                        
                            Partial Differential Equations: Theory and Computations                         
                                                           120
                                                                                Session 3 
                                                                                                                            
                                        › Continuous data assimilation by non-interpolant observables
                                         - Vladimir Yushutin, The University of Tennessee [Knoxville]
                                        
                                            08:30-08:54 (24min)
                                        
                                     
                                                                    
                                        › Explicit corrector in homogenization of monotone operators and its application to nonlinear dielectric elastomer composites
                                         - Yuliya Gorb, National Science Foundation [Alexandria, VA]
                                        
                                            08:54-09:18 (24min)
                                        
                                     
                                                                    
                                        › Unified spatiotemporal formulations for time-dependent convection-diffusion problems
                                         - Seulip Lee, Tufts University
                                        
                                            09:18-09:42 (24min)
                                        
                                     
                                                                    
                                        › Reduced Krylov Basis Methods for Parametric Partial Differential Equations
                                         - Cheng Zuo, Department of Mathematics, The Pennsylvania State University
                                        
                                            09:42-10:06 (24min)
                                        
                                     
                                                             8:30 - 10:30 (2h) 
                        
                            Quantifying and Controlling Uncertainty in Complex Systems                         
                                                           121
                                                                                Session 3 
                                                                                                                            
                                        › Large Deviation Theory-Informed Importance Sampling for Rare Event Estimation and Control
                                         - Shanyin Tong, University of Pennsylvania
                                        
                                            08:30-08:54 (24min)
                                        
                                     
                                                                    
                                        › Extreme event estimation for stochastic differential equations via precise large deviation theory
                                         - Timo Schorlepp, Courant Institute of Mathematical Sciences [New York]
                                        
                                            08:54-09:18 (24min)
                                        
                                     
                                                                    
                                        › Randomized Algorithms for Optimal Experimental Design
                                         - Vishwas Hebbur Venkata Subba Rao, Argonne national laboratory
                                        
                                            09:18-09:42 (24min)
                                        
                                     
                                                                    
                                        › Kernel Density Estimation Adaptive Importance Sampling with Gaussian Processes for Rare-events Probability Estimation
                                         - Ashwin Renganathan, Penn State
                                        
                                            09:42-10:06 (24min)
                                        
                                     
                                                                    
                                        › Scaling Scenario-Based Chance-Constrained Optimization for Rare Events
                                         - Jaeseok Choi, Pennsylvania State University
                                        
                                            10:06-10:30 (24min)
                                        
                                     
                                                             8:30 - 10:30 (2h) 
                        
                            Recent Advances in Scientific Machine Learning Arising from PDEs                         
                                                           122
                                                                                Session 3 
                                                                                                                            
                                        › Physics-Informed Neural Networks for Solving Two-Phase Flow and Fluid-Structure Interaction Problems with Moving Interfaces
                                         - Pengtao Sun, University of Nevada [Las Vegas]
                                        
                                            08:30-08:54 (24min)
                                        
                                     
                                                                    
                                        › Long-Horizon PDE Prediction via Energy-Stable Evolutionary KANs
                                         - Guang Lin, Department of mathematics Purdue University
                                        
                                            08:54-09:18 (24min)
                                        
                                     
                                                                    
                                        › Operator learning for hyperbolic PDEs
                                         - Christopher Wang, Cornell University
                                        
                                            09:18-09:42 (24min)
                                        
                                     
                                                                    
                                        › Barron Approximation and locally optimal shallow neural networks
                                         - Gerrit Welper, University of Central Florida [Orlando]
                                        
                                            09:42-10:06 (24min)
                                        
                                     
                                                             8:30 - 10:30 (2h) 
                        
                            Recent Developments for Numerical Methods for PDEs                         
                                                           124
                                                                                Session 3 
                                                                                                                            
                                        › Liquid Crystal Networks preasymptotic energy and its approximation via a Local Discontinuous Galerkin method
                                         - Gonzalo Benavides, University of Maryland [College Park]
                                        
                                            08:30-08:54 (24min)
                                        
                                     
                                                                    
                                        › Quantum algorithms for solving PDEs
                                         - Xiantao Li, Xiantao Li
                                        
                                            08:54-09:18 (24min)
                                        
                                     
                                                                    
                                        › Advanced Numerical Methodologies for Fluid-Structure Interactions
                                         - Pengtao Sun, University of Nevada [Las Vegas]
                                        
                                            09:18-09:42 (24min)
                                        
                                     
                                                                    
                                        › Adaptive Preconditioning of Sparse Linear Systems using Successive Over-Relaxation with Reinforcement Learning
                                         - Soha Yusuf
                                        
                                            09:42-10:06 (24min)
                                        
                                     
                                                             8:30 - 10:30 (2h) 
                        
                            Computational and Probabilistic Methods: From Theory to Practice                         
                                                           125
                                                                                Session 3 
                                                                                                                            
                                        › Computational and probabilistic methods to understand the dynamics of biological networks
                                         - Reka Albert, Penn State System
                                        
                                            08:30-09:18 (48min)
                                        
                                     
                                                                    
                                        › Probabilistic Analysis of Gaussian Elimination
                                         - Konstantin Tikhomirov, Department of Mathematical Sciences
                                        
                                            09:18-10:06 (48min)
                                        
                                     
                                                                    
                                        › Random sphere-packing on lattices
                                         - Izabella Stuhl, Penn State University
                                        
                                            10:06-10:30 (24min)
                                        
                                     
                                                            ›8:30 (2h) 
                                                                
                                    Physics-Guided & Generative AI for Scientific Computing: Theory, Algorithms and Applications
                                                                             
                                                                    Session 3 › 207 
                                                             8:30 - 10:30 (2h) 
                        
                            Physics-Guided & Generative AI for Scientific Computing: Theory, Algorithms and Applications                         
                                                           207
                                                                                Session 3 
                                                                                                                            
                                        › FunDiff: Diffusion models over function spaces for physics-informed generative modeling
                                         - Lu Lu, Yale University [New Haven]
                                        
                                            08:54-09:18 (24min)
                                        
                                     
                                                                    
                                        › Quantitative Clustering in Mean-Field Transformer Models
                                         - Shi Chen, Department of Mathematics, Massachusetts Institute of Technology
                                        
                                            09:18-09:42 (24min)
                                        
                                     
                                                                    
                                        › A supervised learning scheme for the Hamilton-Jacobi equation via density coupling
                                         - Haomin Zhou, Georgia Institute of Technology
                                        
                                            10:06-10:30 (24min)
                                        
                                     
                                                             8:30 - 10:30 (2h) 
                        
                            Collective Behavior for Biologically Inspired and Social Systems                         
                                                           208
                                                                                                                                                        
                                        › Agent-Based Modeling of Collective Foraging and Movement in Bison Herds
                                         - Woods Jacob, Temple University [Philadelphia]
                                        
                                            08:30-08:54 (24min)
                                        
                                     
                                                                    
                                        › Neuromorphic Decision Making for Resource Constrained Robot Collectives
                                         - Himani Sinhmar, Princeton University
                                        
                                            08:54-09:18 (24min)
                                        
                                     
                                                                    
                                        › Structured heterogeneity leads to group-level selective sensitivity and robustness
                                         - Ian Xul Belaustegui, Department of Mechanical and Aerospace Engineering [Princeton]
                                        
                                            09:18-09:42 (24min)
                                        
                                     
                                                                    
                                        › Emergence of cooperative behavior in multi-agent models of thermal huddles
                                         - Nicole Zalewski, Temple University
                                        
                                            09:42-10:06 (24min)
                                        
                                     
                                                                    
                                        › Adaptive dynamics of reputation, gossip, and moral norms
                                         - Taylor Kessinger, University of Pennsylvania
                                        
                                            10:06-10:30 (24min)
                                        
                                     
                                                             8:30 - 10:30 (2h) 
                        
                            Foundation Models: From Theory to Practice                         
                                                           209
                                                                                Session 2 
                                                                                                                            
                                        › Hierarchical Mamba Meets Hyperbolic Geometry: A New Paradigm for Structured Language Embeddings
                                         - Mengjia Xu, New Jersey Institute of Technology [Newark]
                                        
                                            08:30-08:54 (24min)
                                        
                                     
                                                                    
                                        › Robust Feature Selection for Trustworthy AI
                                         - Anton Xue, University of Texas at Austin [Austin]
                                        
                                            08:54-09:18 (24min)
                                        
                                     
                                                                    
                                        › Surya FM: A foundation model in heliophysics.
                                         - Spiridon Kasapis, Department of Astrophysical Sciences, Princeton University
                                        
                                            09:18-09:42 (24min)
                                        
                                     
                                                                    
                                        › In-Context Operator Learning on the Space of Probability Measures
                                         - Dixi Wang, Purdue University
                                        
                                            09:42-10:06 (24min)
                                        
                                     
                                                                    
                                        › Multimodal Foundation Model for Accelerating Numerical Simulation of Differential Equations via Error Correction
                                         - Jiaxin Yuan, University of Maryland, College Park
                                        
                                            10:06-10:30 (24min)
                                        
                                     
                                                             8:30 - 10:30 (2h) 
                        
                            Recent advances in low-rank methods and their applications                         
                                                           210
                                                                                                                                                        
                                        › A Sampling-Based Adaptive Rank Approach to the Wigner-Poisson System
                                         - Sining Gong, Michigan State University [East Lansing]
                                        
                                            08:30-08:54 (24min)
                                        
                                     
                                                                    
                                        › Discrepancies are Virtue: Weak-to-Strong Generalization through Lens of Intrinsic Dimension
                                         - Yijun Dong, Courant Institute of Mathematical Sciences [New York]
                                        
                                            08:54-09:18 (24min)
                                        
                                     
                                                                    
                                        › Why machine learning researchers should care about low-rank structures?
                                         - Annan Yu, Cornell University
                                        
                                            09:18-09:42 (24min)
                                        
                                     
                                                                    
                                        › Efficient oversampled Tensor-Train Cross approximation for large data
                                         - Daniel Hayes, University of Delaware [Newark]
                                        
                                            09:42-10:06 (24min)
                                        
                                     
                                                             8:30 - 10:30 (2h) 
                        
                            Contributed talks                         
                                                           217
                                                                                Session 5 
                                                                                                                            
                                        › A generalized reduction scheme for the Stochastic Weighted Particle Method
                                         - John Zweck, New York Institute of Technology
                                        
                                            08:30-08:54 (24min)
                                        
                                     
                                                                    
                                        › Convergence of Markov Chains for Stochastic Gradient Descent with Separable Functions
                                         - Zaleski Philip, New Jersey Institute of Technology
                                        
                                            08:54-09:18 (24min)
                                        
                                     
                                                                    
                                        › Polynomial complexity sampling from multimodal distributions using Sequential Monte Carlo
                                         - Ruiyu Han, Carnegie Mellon University [Pittsburgh]
                                        
                                            09:18-09:42 (24min)
                                        
                                     
                                                                    
                                        › Rescuing double robustness: safe estimation under complete misspecification
                                         - Lorenzo Testa, Carnegie Mellon University [Pittsburgh]
                                        
                                            09:42-10:06 (24min)
                                        
                                     
                                                             8:30 - 10:30 (2h) 
                        
                            Contributed talks                         
                                                           218
                                                                                Session 6 
                                                                                                                            
                                        › Exact analysis of basis pursuit denoising via differential inclusions and a selection principle
                                         - Gabriel Provencher Langlois, New York University
                                        
                                            08:30-08:54 (24min)
                                        
                                     
                                                                    
                                        › Lattice Annotated Temporal (LAT) Logic for Non-Markovian Reasoning
                                         - Kaustuv Mukherji, Syracuse University
                                        
                                            08:54-09:18 (24min)
                                        
                                     
                                                                    
                                        › On Healthy, Sick, and Dead Equations of Systems of Linear Algebraic Equations
                                         - Isom Jurayev, Retired
                                        
                                            09:18-09:42 (24min)
                                        
                                     
                                                                    
                                        › Orthogonality Spaces over Finite Fields
                                         - Thang Nguyen, New Mexico State University
                                        
                                            09:42-10:06 (24min)
                                        
                                     
                                                                    
                                        › Synchronization of coupled oscillators on self-similar sets
                                         - Matthew Mizuhara, The College of New Jersey
                                        
                                            10:06-10:30 (24min)
                                        
                                     
                                                             8:30 - 10:30 (2h) 
                        
                            Contributed talks                         
                                                           219
                                                                                Session 7 
                                                                                                                            
                                        › Inertial Particle Dynamics of Different Shapes in Fluid Flows
                                         - Takashi Yashiro, Montclair State University [USA]
                                        
                                            08:30-08:54 (24min)
                                        
                                     
                                                                    
                                        › The Rayleigh Collapse of Two Spherical Bubbles
                                         - Daniel Hobbs, Rochester Institute of Technology
                                        
                                            08:54-09:18 (24min)
                                        
                                     
                                                                    
                                        › Optimizing Peristaltic Pump Shapes for Particle Transport in Stokes Flow
                                         - Ruowen Liu, Rider University
                                        
                                            09:18-09:42 (24min)
                                        
                                     
                                                                    
                                        › Dynamics of Ocean Kinematic Properties
                                         - Denny Kirwan, University of Delaware
                                        
                                            09:42-10:06 (24min)
                                        
                                     
                                                                    
                                        › The Complexities of Discontinuous Attractor Trajectories: Explorations of Periodic Forcing of the Ocean Vorticity Equation
                                         - Helga Huntley, Rowan University
                                        
                                            10:06-10:30 (24min)
                                        
                                     
                                                             8:30 - 10:30 (2h) 
                        
                            Advances in Modeling and Computation of Transport Problems                         
                                                           216
                                                                                Session 2 
                                                                                                                            
                                        › DATA COMPLETION FOR ELECTRICAL IMPEDANCE TOMOGRAPHY BY CONDITIONAL DIFFUSION MODELS
                                         - Ke Chen, University of Delaware
                                        
                                            08:30-08:54 (24min)
                                        
                                     
                                                                    
                                        › Fast Algorithms for A Linear Four-Field Thermo-Poroelastic Model
                                         - Mingchao Cai, Morgan State University
                                        
                                            08:54-09:18 (24min)
                                        
                                     
                                                                    
                                        › Binned Spectral Power Loss for Improved Prediction of Chaotic Systems
                                         - Dibyajyoti Chakraborty, Pennsylvania State University
                                        
                                            09:18-09:42 (24min)
                                        
                                     
                                                                    
                                        › Moment-enhanced shallow water equations for non-slip boundary conditions
                                         - Shiping Zhou, Michigan State University [East Lansing]
                                        
                                            09:42-10:06 (24min)
                                        
                                     
                                                                    
                                        › Data-driven Whitney forms for structure preserving models
                                         - Benjamin Shaffer, University of Pennsylvania
                                        
                                            10:06-10:30 (24min)
                                        
                                     
                                                            ›10:30 (30min) 
                                                                
                                                             10:30 - 11:00 (30min) 
                        
                            Coffee break                         
                                                                                                                                             11:00 - 12:00 (1h) 
                        
                            Plenary Talk (Room 100): Jinchao Xu (KAUST & Penn State University)                         
                                                                                                    ›12:00 (15min) 
                                                                
                                                             12:00 - 12:15 (15min) 
                        
                            Closing Remarks                         
                                                                                                     | 
        
  
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