Society for Industrial and Applied Mathematics Courses

Magnetohydrodynamic Turbulence - Weak Solutions and Conserved Quantities

Explore magnetohydrodynamic turbulence, weak solutions, and conserved quantities in ideal systems. Analyze the mathematical structures behind Taylor-Woltjer relaxation theory and Faraday systems.

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

Deep Learning Applications for Automated Subsurface Model Building

Explore AI/ML applications in geoscience for automated subsurface model building, improving efficiency and accuracy in workflows using seismic, wellbore, and geophysical data.

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

Effective Gaps for Time-Periodic Hamiltonians Modeling Floquet Materials

Exploration of Floquet materials and their energy transport properties, focusing on effective quasi-energy gaps in parametrically forced Schrödinger equations and their implications for band-limited Dirac wave-packets.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

The Role of Mathematics in Solving the World's Main Challenges

Explore how mathematics and computation contribute to understanding climate, energy, the cosmos, and life itself through TED-style talks by renowned computational scientists.

• YouTube
• 2 hours 33 minutes
• Self-Paced
• Free Video

Risk Management of Option Books with Arbitrage-Free Neural-SDE Market Models

Explore advanced risk management techniques for option books using arbitrage-free neural-SDE market models, covering nonparametric modeling, inference, and hedging strategies with real-world applications.

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

Pore to Darcy to Field Scale: Challenges in Upscaling Porous Media Models

Explore multiscale modeling in porous media, from nanometers to kilometers. Discuss upscaling challenges, theoretical advances, and practical applications in geosciences, with insights on physics and data integration.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Optimal Shape of Tree Roots and Branches - Seminar in Analysis and Methods of PDE

Explore mathematical models for optimal shapes in nature, focusing on tree roots and branches. Examine functionals for sunlight capture and nutrient collection, combined with transportation costs.

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

A Geometric Approach to Modeling and Analysis of Mixed-Dimensional and Multi-Continuum Materials

Explore geometric modeling of complex materials, unifying concepts from differential geometry and functional analysis to analyze fractured porous media and multi-continuum models.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Survey of the Benjamin-Ono Equation with Periodic Boundary Conditions

Explore the Benjamin-Ono equation's dynamics, including explicit solutions, well-posedness, and long-term behavior, with insights from Lax pair analysis in periodic boundary conditions.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Modeling Flow and Transport in Fractured Rock Using Machine Learning

Integrating computational physics, machine learning, and graph theory to model flow and transport in fractured rock systems, offering a paradigm shift from high-fidelity models to efficient coarse-scale graphs.

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

Landau Damping and Related Effects in Kinetic Models of Plasma Physics

Explore asymptotic stability in plasma physics, covering Landau damping, plasma echoes, and collision-enhanced dissipation. Gain insights into recent progress and open directions in collisionless and weakly collisional plasmas.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Coarse-graining, Renormalization, and Quantitative Homogenization in PDE Analysis

Explore quantitative homogenization in elliptic and parabolic equations, focusing on coarse-graining and renormalization techniques. Discuss applications to degenerate equations and mathematical physics models.

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

Artificial Intelligence and Cryptography: Privacy and Security in the AI Era

Explore the intersection of AI and cryptography, examining privacy challenges and security solutions in an AI-driven world with insights from Meta AI Research.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

The Flow of Polynomial Roots Under Differentiation - SIAM PDE Seminar

Explores the movement of polynomial roots under differentiation, connecting it to a hydrodynamic PDE model similar to those in mathematical biology, with focus on global regularity and trigonometric polynomials.

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

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