Calculus of Variations and Euler's Elastica

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Calculus of Variations and Euler's Elastica

Covers variational methods, equilibrium shapes, Euler's Elastica, and numerical and analytical methods for solving Euler's Elastica.

Calculus of Variation and Euler's Elastica

Covers variational methods, equilibrium shape of a bent beam, Euler's Elastica, and numerical and analytical methods.

Calculus of Variations: Euler's Elastica

Covers Euler's Elastica and the equilibrium shape of a bent beam using variational/energy methods.

Differentiable Functions and Lagrange Multipliers

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Calculus of Variations and Euler's Elastica

Explores the calculus of variations and Euler's Elastica in the context of beam equilibrium and inextensible elastic curves under large rotations.

Numerical Methods: Weak Variational Form and Integration by Parts

Explores approximation methods and weak variational forms in numerical methods.

Elasto-gravitary Bending: Mechanics of Slender Structure

Explores large deformations of inextensible sheets bent under self-weight and their equilibrium shapes under gravity.

Wave Equations: Vibrating String

Explores the wave equation for a vibrating string and its numerical solution using finite difference formulas and the Newmark scheme in MATLAB/GNU Octave.

Finite Elements: Elasticity and Variational Formulation

Explores finite element methods for elasticity problems and variational formulations, emphasizing admissible deformations and numerical implementations.

Optimization with Constraints: Theory and Applications

Covers the theory and applications of optimization with constraints, including key concepts and numerical methods.