Variational Methods Courses and Certifications

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
• Self-Paced
• Paid Course

Spacecraft Relative Motion Kinematics and Kinetics

11 ratings at Coursera

Explore spacecraft relative motion control for applications like docking and on-orbit assembly. Learn coordinate systems, equations of motion, and perturbation impacts for effective spacecraft formation flying.

• Coursera
• 1 day 9 hours 17 minutes
• Self-Paced
• 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
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Geometric Variational Methods for Scalar Curvature and Other Curvature Problems

Explore geometric variational problems and their applications to curvature conditions, focusing on Schoen-Yau's approach and recent extensions.

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

GERAD Research Center

Extragradient Methods - O(1/K) Last-Iterate Convergence for Monotone Variational Inequalities

Explore extragradient methods for monotone variational inequalities, focusing on O(1/K) last-iterate convergence rates and computer-aided proofs in optimization problems.

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

Finite Element Methods

Comprehensive exploration of finite element methods for solving differential equations, covering theory, applications, and practical implementations in various engineering problems.

• Swayam
• 16 weeks
• Self-Paced
• Free Online Course

IIT Bombay;  NPTEL

Optimal Control Systems

Master optimal control theory through a graduate-level journey spanning 2,000+ years, covering Pontryagin's Maximum Principle, dynamic optimization, and calculus of variations for control, AI, and data science.

• Swayam
• Self-Paced
• Free Online Course

Master variational algorithm design principles through this comprehensive skills assessment quiz to earn your professional badge.

• IBM Training
• 1 hour
• Self-Paced
• Free Online Course

Master quantum chemistry concepts using Variational Quantum Eigensolver methods and earn a verified badge upon successful completion.

• IBM Training
• 1 hour
• Self-Paced
• Free Online Course

NPTEL;  IIT Kharagpur

Computational Fluid Dynamics

1 rating

Comprehensive exploration of computational fluid dynamics, covering mathematical foundations, discretization methods, and numerical techniques for solving fluid flow problems.

• YouTube
• 1 day 7 hours
• Self-Paced
• Free Video

Fertig Research Group: Multiscale Failure of Materials

Advanced Finite Element Analysis

Master advanced finite element techniques including nonlinear analysis, continuum mechanics, dynamic systems, and variational methods for complex engineering problems.

• YouTube
• 17 hours
• Self-Paced
• Free Video

Simons Institute

On Gradient-Based Optimization - Accelerated, Distributed, Asynchronous and Stochastic

1 rating

Explore advanced gradient-based optimization techniques for machine learning, including accelerated, distributed, asynchronous, and stochastic methods, with insights from differential geometry and nonconvex optimization.

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

Hausdorff Center for Mathematics

Optimal Transportation - Junior Trimester Program

Explore advanced mathematical concepts in optimal transportation theory through expert lectures covering gradient flows, large deviations, and geometric analysis applications.

• YouTube
• 2 days 7 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Workshop on Data Assimilation in Weather and Climate Models 2024

Explore advanced data assimilation techniques for weather and climate modeling through comprehensive theory, hands-on practice, and real-world applications in atmospheric sciences.

• YouTube
• 2 days 3 hours 14 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Winter School on the Interplay between High-Dimensional Geometry and Probability

Explore advanced mathematical concepts connecting high-dimensional geometry with probability theory through expert lectures on stochastic geometry, isoperimetry, and functional inequalities.

• YouTube
• 11 hours 27 minutes
• Self-Paced
• Free Video