Elasto-gravitary Bending: Mechanics of Slender Structure

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Elasto-Gravity Bending: Energy and Equilibrium

Explores elasto-gravity bending in thin sheets, covering bending energy, equilibrium shapes, and numerical methods.

Elasto-gravity Bending: Mechanics of Slender Structure

Explores the deformations of an inextensible sheet bent under self-weight and its equilibrium shapes under gravity.

Calculus of Variation and Euler's Elastica

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

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.

Numerical Analysis: Stability in ODEs

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

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 Variations and Euler's Elastica

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

Finite Element Analysis: Advanced Mechanisms in Engineering

Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

Numerical Differentiation: Part 1

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

Ordinary Differential Equations: Non-linear Analysis

Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.