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Subjects
Mathematics
Variational Calculus

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Learn Variational Calculus, earn certificates with paid and free online courses from University of Michigan, NPTEL, IIT Guwahati, Beijing Institute of Technology and other top universities around the world. Read reviews to decide if a class is right for you.

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The Finite Element Method for Problems in Physics
5 ratings

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
- Self-Paced
- 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
- Self-Paced
- 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
- Self-Paced
- 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
- Self-Paced
- 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
- Self-Paced
- 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
- Self-Paced
- 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
- Self-Paced
- 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
- Self-Paced
- 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
- Self-Paced
- 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
- Self-Paced
- Free Video
最优控制


探索最优控制三百年风云变幻，结识构建最优大厦的璀璨学者，深耕最优控制的基础理论与广泛应用，体悟最优控制追求卓越的优美思想，尽在《最优控制》。期待你的加入！
- XuetangX
- Self-Paced
- 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
- Self-Paced
- 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
- Self-Paced
- 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
- Not Currently Offered
- 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
- Not Currently Offered
- Free Online Course

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