Vibrating String: Mathematical Analysis

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Explores waves in inhomogeneous media, covering initial and boundary conditions, numerical stability, eigen modes, and propagation principles.

Finite Difference Method: Approximating Derivatives and Equations

Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.

Eigen Modes and Frequencies

Explores eigen modes, natural frequencies, and the superposition principle in standing waves on a vibrating string.

Vibrating Strings: Mathematical Analysis and Fourier Series

Provides an overview of the mathematical analysis of vibrating strings using Fourier series and Laplace transforms.

Vibratory Mechanics: Continuous Systems

Explores vibratory mechanics in continuous systems, covering separation of variables, boundary conditions, and harmonic solutions.

Finite Difference Grids

Explains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.

Numerical Groundwater Flow Resolution

Explains the numerical resolution of groundwater flows using finite differences and demonstrates the method with Excel.

Boundary Conditions and Basis Decomposition

Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.

Electromagnetic Waves: Interaction with Matter

Explores the interaction of electromagnetic waves with matter, focusing on transmission and reflection phenomena.

Finite Element Method: Weak Formulation and Galerkin Method

Explores the weak formulation and Galerkin method in Finite Element Method applications, including boundary conditions and linear systems of equations.