Variational Calculus Courses and Certifications

The Finite Element Method for Problems in Physics

5 reviews

Comprehensive introduction to finite element methods for physics and engineering, covering mathematical foundations and practical coding implementation using open-source tools for various PDEs and physical phenomena.

• Coursera
• 62 hours
• On-Demand
• Paid Course

Society for Industrial and Applied Mathematics

Exploring Variational Functions - Calculus of Variations and Geometric Measure Theory

Dive into variational problems and bounded Hessian functions with Luigi Ambrosio. Explore the intersection of Calculus of Variations and Geometric Measure Theory, inspired by machine learning insights.

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

Mathemaniac

The Action Principle Explained: Finding Satisfaction in Physics

Delve into the action principle in physics, exploring why this seemingly arbitrary quantity should be minimized and discovering a more intuitive understanding of this fundamental concept.

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

Institute for Pure & Applied Mathematics (IPAM)

On a Conjectural Symmetric Version of the Ehrhard Inequality

Explores a conjectural symmetric version of Ehrhard's inequality for Gaussian measures, discussing minimizers, equality cases, and connections to Brascamp-Leib inequality on convex sets.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Boundary Continuity of Nonlocal Minimal Surfaces in Domains with Singularities

Explore boundary continuity properties of nonlocal minimal surfaces when domains contain geometric singularities through advanced mathematical analysis.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Geometric Mechanics: Tulczyjew Triples, Algebroids, and Dirac Structures - Part 3

Delve into advanced geometric mechanics concepts, exploring Tulczyjew triples, algebroids, and Dirac structures through the lens of variational calculus and differential geometry in physical systems.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Geometric Mechanics - Tulczyjew Triples, Algebroids, and Dirac Structures - Part 2

Delve into advanced geometric mechanics concepts, exploring Tulczyjew triples, algebroids, and Dirac structures through the lens of variational calculus and symplectic geometry in physical systems.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Geometric Mechanics - Tulczyjew Triples, Algebroids, and Dirac Structures - Part 1

Delve into advanced geometric mechanics, exploring Tulczyjew triples, algebroids, and Dirac structures through the lens of variational calculus and symplectic geometry in physical systems.

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

NPTEL-NOC IITM

Functional Optimization Examples and Calculus of Variations - Part 2

Explore advanced functional optimization concepts through calculus of variations, focusing on practical examples and mathematical applications.

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

International Centre for Theoretical Sciences

Constrained Willmore Surfaces - Lecture 2

Explore advanced geometric analysis of constrained Willmore surfaces through mathematical theory and applications in this specialized lecture by Ulrich Pinkall.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

最优控制

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• XuetangX
• On-Demand
• Free Online Course

计算力学

Master 计算力学 through finite element analysis, from theoretical foundations to practical applications using ANSYS and ABAQUS, including programming and secondary development skills.

• XuetangX
• On-Demand
• Free Online Course

Beijing University of Civil Engineering and Architecture

最优控制

控制无处不在，所谓最优控制，是在一定的约束条件下，在给定的性能指标要求下，选择容许的控制规律，使性能指标达到最优。欢迎大家一起探索最优控制在各行各业的应用。

• XuetangX
• On-Demand
• Free Online Course

IIIT-Delhi;  NPTEL

Variational Calculus and its applications in Control Theory and Nanomechanics

Explore variational calculus and its applications in control theory and nanomechanics. Learn to solve complex problems in geometry, differential equations, and physics using advanced mathematical techniques.

• Swayam
• 12 weeks
• Finished
• Free Online Course

IIT Guwahati;  NPTEL

Theoretical Mechanics

Explore advanced classical mechanics formulations and applications, including Lagrangian, Hamiltonian, and Poisson bracket approaches. Ideal for physics research aspirants and engineering students.

• Swayam
• 12 weeks
• Finished
• Free Online Course