Spatio-temporal Spectral Analysis

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Related lectures (31)

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Spatio-temporal Spectral Analysis: Dispersion and Envelopes

Explores wave packets, group velocity, dispersion relations, and Gaussian spectra in spatio-temporal analysis.

Wave Patterns and Spectral Analysis

Explores wave patterns, Fourier transforms, group velocity, and Gaussian spectra in hydrodynamics.

Numerical Methods: Boundary Value Problems

Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.

Properties of Fourier and inverse Fourier transforms

Explores the properties of Fourier and inverse Fourier transforms, analyzing finite wave trains, Gaussian functions, and 3D space transformations.

Shallow Water Waves: Stability and Tsunamis

Explores shallow water waves, stability conditions, and tsunamis through simulations and analytical solutions.

Neurophysiological Data Analysis

Explores neurophysiological data analysis, covering AP identification, firing rates, subthreshold activity, FFT spectral analysis, and event-triggered analysis using MATLAB.

Solving unbounded PDE's using Fourier Transforms and Convolution: Obtaining the d'Alembert solution of the wave equation

Explores elementary properties of Fourier Transforms, convolution, Parseval's Theorem, and the d'Alembert solution of the wave equation using Fourier Transforms and convolution.

Gravity Waves: Kinematic and Dynamic Boundary Conditions

Explores kinematic and dynamic boundary conditions, dispersion relation, and velocity differences in gravity waves.

Fourier Series and Transforms: Introduction and Properties

Covers Fourier series, Fourier transforms, and convolution properties, including linearity and commutativity.

Gravity Waves and Instabilities

Covers perturbation theory, compressible fluids, sound waves, instabilities, energy equations, and gravity waves.