Variational Methods Courses and Certifications

Fertig Research Group: Multiscale Failure of Materials

Variational Methods and Energy Principles in Mechanics

Master variational calculus and energy principles in mechanics through functionals, Euler-Lagrange equations, and applications to elasticity problems.

• YouTube
• 5 hours 47 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Variational Methods for Computational Microscopy - IPAM at UCLA

Explore variational methods for computational microscopy with Stanley Osher, covering advanced techniques and applications in image processing and analysis.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Variational Methods for Hyperbolic Evolutions and Fluid-Structure Interactions

Explore variational approaches to hyperbolic evolutions and fluid-structure interactions, focusing on well-posedness results for solid evolutions and fluid-solid interactions.

• YouTube
• 36 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Data Assimilation - Variational Methods - Lecture 8

Explore variational methods in data assimilation for weather and climate modeling. Learn theoretical foundations and practical applications to enhance atmospheric state estimation and forecasting accuracy.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Regularity of Minimizers for a Model of Charged Droplets

Explore the shape and properties of charged liquid droplets through a mathematical model, examining surface tension, repulsive forces, and the development of singularities in droplet formation.

• YouTube
• 59 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Minimization Problems for the Axisymmetric Neo-Hookean Energy

Explore minimization problems for axisymmetric neo-Hookean energy, focusing on existence of minimizers, energy concentration, and bounds for relaxed energy in critical Sobolev cases.

• YouTube
• 38 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Regularity, Cavitation and Harmonic Dipoles in Nonlinear Elasticity

Explore regularity, cavitation, and harmonic dipoles in nonlinear elasticity. Analyze Sobolev maps, gradient determinants, and integrability exponents to understand deformation behavior and singularities.

• YouTube
• 37 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Integral Representation and T-Convergence for Free-Discontinuity Problems

Explore integral representation and T-convergence for free-discontinuity problems in GSBV p(.) space, focusing on variable exponent energies and their asymptotic behavior.

• YouTube
• 38 minutes
• On-Demand
• Free Video

Probabilistic AI School

Variational Inference and Optimization - Lecture 3

Explore advanced variational inference and optimization techniques for probabilistic AI, focusing on cutting-edge methods and practical applications.

• YouTube
• 45 minutes
• On-Demand
• Free Video

BIMSA

The DRP-4DVar Data Assimilation Method - Theory and Applications

Explore the DRP-4DVar data assimilation method, covering theoretical foundations and practical applications in computational science and meteorological modeling.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Introduction to Rayleigh-Ritz Method

Discover the Rayleigh-Ritz Method, a powerful mathematical technique for approximating solutions to variational problems and eigenvalue equations in engineering and physics.

• YouTube
• 59 minutes
• On-Demand
• Free Video

Isaac Newton Institute for Mathematical Sciences

Variational Methods in Image Processing and Advanced Materials Analysis - Kirk Lecture

Explore variational methods in image processing and advanced materials analysis, focusing on density measures, image denoising, and quantum dot formation in semiconductors.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Approximation Methods

14 ratings at Coursera

Explore quantum mechanics approximation methods, including perturbation theory and variational techniques. Gain practical skills to solve complex problems in quantum systems.

• Coursera
• 14 hours 16 minutes
• On-Demand
• Paid Course

Centre de recherches mathématiques - CRM

A Variational Method for Functionals Depending on Eigenvalues

Explore a new variational method for optimizing eigenvalue-dependent functionals in spectral geometry, simplifying and unifying previous results in 2D and extending to higher dimensions.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Simons Institute

Variational Formulations and Distributed Convex Optimization Methods for...

Explore variational formulations and distributed convex optimization methods in information-theoretic approaches to trustworthy machine learning.

• YouTube
• 1 hour
• On-Demand
• Free Video