Calculus of Variations: Introduction

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (38)

Supervised Learning with kNN: Regression Model

Covers a simple mathematical model for supervised learning with k-nearest neighbors in regression.

Data Reconciliation: Case Study

Discusses correcting errors in measurements through mathematical expressions and optimization techniques.

Principle of Least Action

Covers the principle of least action, Euler-Lagrange equations, Lagrange multipliers, and variational calculus.

Deformation and Strain Tensors

Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.

Extended Josephson Junctions: Modeling and Critical Current

Covers the magnetic thickness, short and long junctions, and critical current.

Variational Calculus and Least Action Principle

Covers the principle of least action and variational calculus in discovering equations of motion.

Variational Methods: Shortest Time Path Problem

Covers variational methods to find the shortest time path for a particle under gravity.

Finite Differences and Finite Elements: Variational Formulation

Discusses finite differences and finite elements, focusing on variational formulation and numerical methods in engineering applications.

Elliptic Problems

Covers the concept of elliptic problems and their applications in various scenarios.

Calculus of Variations: Direct Method Log in to Mediaspace to watch this video

Covers the direct method of the calculus of variations, focusing on the existence of solutions for minimization problems.

3D Linear Elasticity & Beams Log in to Mediaspace to watch this video

Introduces 3D linear elasticity, beams, dimensional analysis, and mechanics of slender structures.

Quantum Chemistry: Perturbation Theory Log in to Mediaspace to watch this video

Covers perturbation theory in quantum chemistry, variational principle, Pauli principle, and separability of operators.

Calculus of Variations: Ground States in Quantum Mechanics Log in to Mediaspace to watch this video

Covers the Calculus of Variations to find ground states in quantum mechanics by minimizing energy, discussing the Euler Lagrange equation and the Fundamental Theorem of Young Measure Theory.

Residue Theorem: Applications in Complex Analysis Log in to Mediaspace to watch this video

Discusses the residue theorem and its applications in calculating complex integrals.

Optimal Control: Hydropower Management Log in to Mediaspace to watch this video

Covers the optimization of hydropower systems and control strategies for maximizing energy production.

Calculus of Variations: Some Topics Log in to Mediaspace to watch this video

Covers fundamental topics in calculus of variations, including minimizers and the Euler-Lagrange equation.

Dynamical Systems: Mathematical Modeling Log in to Mediaspace to watch this video

Covers mathematical modeling of dynamical systems, focusing on electromechanical systems and DC servomotors.

Calculus Applications: Lengths and Surfaces of Revolution Log in to Mediaspace to watch this video

Discusses the applications of calculus in calculating lengths and surfaces of revolution, emphasizing integral calculus and geometric interpretations.

Calculus of Variations and Euler's Elastica Log in to Mediaspace to watch this video

Explores variational methods, Euler's Elastica, numerical and analytical methods, and the buckling of slender structures.

Calculus of Variations Log in to Mediaspace to watch this video

Covers topics in Calculus of Variations, including regularity results and implicit function theorems.

Page 1 of 2