Applied Mathematics Courses and Certifications

Society for Industrial and Applied Mathematics

Hölder Stability in Quantitative Photoacoustic Tomography - Imaging and Inverse Problems Seminar

Explore Hölder stability in quantitative photoacoustic tomography, focusing on reconstructing diffusion and absorption coefficients from partial internal data near boundaries.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Online Course

Society for Industrial and Applied Mathematics

Entropic Optimal Transport - Eighteenth SIAM Activity Group on FME Virtual Talk

Explore entropic regularization in optimal transport with Marcel Nutz. Learn about convergence, local behavior, and applications in high-dimensional data problems.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Online Course

Society for Industrial and Applied Mathematics

Nonlinear Spectral Decompositions in Imaging and Inverse Problems

Explore nonlinear spectral decompositions in imaging and inverse problems, focusing on variational theory and applications in data science, with computational methods discussed.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Online Course

Society for Industrial and Applied Mathematics

The Half-space Matching Method for Solving Scattering in Complex Media

Explore innovative wave scattering solutions in complex media using the Half-space Matching Method, offering efficient alternatives to traditional computational techniques.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Online Course

Society for Industrial and Applied Mathematics

Matrix Equations and Model Reduction - Lecture 3

Explore matrix equations and model reduction techniques with Peter Benner, covering enrichment, polar residual form, transfer functions, and moment matching for efficient system analysis.

• YouTube
• 1 hour 42 minutes
• On-Demand
• Free Online Course

Society for Industrial and Applied Mathematics

Spectral Problems in Inverse Scattering Theory - 21st IMAGINE OneWorld SIAM-IS Seminar

Explore scattering theory's spectral problems, focusing on poles, non-scattering frequencies, and transmission eigenvalues. Learn how these relate to scattering operators and material properties in inhomogeneous media.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Online Course

Society for Industrial and Applied Mathematics

Certificates of Nonnegativity and Their Applications in Theoretical Computer Science

Explore nonnegativity certificates in real algebraic geometry, focusing on sums of squares and sums of nonnegative circuit polynomials, with applications to polynomial optimization and theoretical computer science.

• YouTube
• 58 minutes
• On-Demand
• Free Online Course

Society for Industrial and Applied Mathematics

Families of Polynomials in Biochemical Reaction Networks

Exploring polynomial systems in biochemical reaction networks, focusing on computational techniques for analyzing families of polynomials with combinatorial structures derived from reaction digraphs.

• YouTube
• 51 minutes
• On-Demand
• Free Online Course

Society for Industrial and Applied Mathematics

Applications of Homotopy Continuation in Science and Engineering

Explore homotopy continuation in numerical algebraic geometry and its applications in chemistry, mechanical engineering, and biological modeling. Learn about tracking solutions to parameterized nonlinear equations.

• YouTube
• 47 minutes
• On-Demand
• Free Online Course

Society for Industrial and Applied Mathematics

Wave Enhancement Through Spectral Optimization - 33rd IMAGINE Seminar

Explore efficient optimization of wave transmission in cavities through boundary condition adjustments, using spectral analysis and layer potential methods for accurate eigenvalue calculations.

• YouTube
• 57 minutes
• On-Demand
• Free Online Course

Society for Industrial and Applied Mathematics

Matrix Equations and Model Reduction - Lecture 4

Explore matrix equations and model reduction techniques, focusing on SR method, high multiplicity, and theoretical background with renowned expert Peter Benner.

• YouTube
• 1 hour 38 minutes
• On-Demand
• Free Online Course

Fields Institute

Mechanism Synthesis and Applied Enumerative Geometry

Explore applied enumerative geometry in mechanism synthesis, uncovering innovative approaches to design and optimize mechanical systems for various engineering applications.

• YouTube
• 47 minutes
• On-Demand
• Free Online Course

Society for Industrial and Applied Mathematics

Path-Dependent PDEs and Mean Field Control - SIAM FME Virtual Talk Series

Explore advanced mathematical concepts in finance: path-dependent PDEs, rough volatility, and mean field control. Gain insights from experts on convergence rates and numerical analysis in financial modeling.

• YouTube
• 59 minutes
• On-Demand
• Free Online Course

Society for Industrial and Applied Mathematics

Pathwise Entropy Solutions of SPDEs via Rank-Based Models - SIAM FME Virtual Talk

Explore pathwise entropy solutions for SPDEs, linking stochastic portfolio theory and rank-based models. Uncover probabilistic insights under Brownian motion in this advanced mathematical presentation.

• YouTube
• 49 minutes
• On-Demand
• Free Online Course

Convex Optimization I - Lecture 1

Explore fundamental concepts of convex optimization with Stanford's Stephen Boyd. Gain insights into this powerful mathematical technique for solving complex problems efficiently.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Online Course