Society for Industrial and Applied Mathematics Courses

Multivariate Goppa Codes - Applications in Cryptography and Error Correction

Explore multivariate Goppa codes, their properties, and applications in cryptography and quantum error correction. Gain insights into advanced coding theory and its practical implications.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Gibbs Measures and Propagation of Randomness in Nonlinear Dispersive PDE

Explore Gibbs measures and randomness propagation in nonlinear dispersive PDE flows with Andrea R. Nahmod. Gain insights into advanced mathematical concepts and their applications in this engaging seminar.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

The Geometry of the Space of All Pivot Rules of a Linear Optimization Problem

Explore the geometric aspects of pivot rules in linear optimization with Jesús A. De Loera. Gain insights into advanced mathematical concepts and their applications in industrial problem-solving.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Analytic Shape Reconstruction of a Planar Conductivity Inclusion

Explore mathematical techniques for reconstructing planar conductivity inclusions using generalized polarization tensors and Riemann mapping coefficients in this advanced applied mathematics seminar.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

Directed Mean Curvature Flow in Noisy Environment

Explore directed mean curvature flow in noisy environments and its connection to the KPZ equation through advanced mathematical analysis and stochastic PDEs.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

An Obstacle Problem for Cell Polarization

Explore cell polarization modeling through diffusion equations and reaction-diffusion systems. Discover obstacle-type problems, steady-state stability, and polarization onset parameters in this mathematical biology seminar.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

Quantum Dynamics and Optimal Transport

Explore quantum dynamics and optimal transport with François Golse, discussing the application of Monge's theory to quantum states and its implications for mean-field and classical limits in quantum mechanics.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

Blind Image Deblurring - What is the Next Step?

Explore advanced techniques in blind image deblurring, including surface-aware strategies and Quaternion-based methods for color image restoration, with applications in text and natural image processing.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Symmetry and Determinantal Polynomials - SIAM SAGA Seminar

Explore symmetry in determinantal polynomials, from historical roots to modern applications. Discover representations of plane curves and connections to the principal minor map in this advanced mathematics seminar.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Graph-Based Methods for Reduced-Order Reservoir Simulation

Explore graph-based approaches for reduced-order reservoir simulation, comparing interwell methods like GPSNet with CGNet, which mimics 3D grid connections. Learn about their setup, training, and generalization capabilities.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Symmetry and Uniqueness in Nonlocal PDEs - A Variational Approach

Explore symmetry and uniqueness in nonlocal PDEs using variational approaches. Yao Yao discusses recent progress in aggregation-diffusion equations and 2D Euler equations, focusing on steady states and radial symmetry.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Orthogonality Sampling Methods for Electromagnetic Inverse Scattering Problems

Exploring orthogonality sampling methods for electromagnetic inverse scattering problems, focusing on implementation simplicity, noise robustness, and applications in 2D and 3D experimental data.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Determinants, Commuting Flows, and Recent Progress on Completely Integrable Systems

Explore recent developments in completely integrable nonlinear dispersive PDE, including a priori bounds, orbital stability, well-posedness, and Gibbs distributed initial data dynamics.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

Convergence and Non-Convergence of Algebraic Iterative Reconstruction Methods - Imaging and Inverse Problems Seminar

Exploring convergence issues in algebraic iterative reconstruction methods for X-ray CT, presenting theoretical results and novel approaches to address non-convergence in limited-angle and limited-data scenarios.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Shape Optimization Approach for Sharp-Interface Reconstructions in Inverse Problems

Shape optimization techniques for inverse problems: analyzing piecewise constant models, shape derivatives, and Lagrangian approaches. Applications in electrical impedance tomography and full waveform inversion.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video