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Related lectures (32)

Quantum Chaos and Scrambling Log in to Mediaspace to watch this video

Explores the concept of scrambling in quantum chaotic systems, connecting classical chaos to quantum chaos and emphasizing sensitivity to initial conditions.

Poisson Problem: Fourier Transform Approach Log in to Mediaspace to watch this video

Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.

Uniqueness Results for Poisson Equation Log in to Mediaspace to watch this video

Explores uniqueness results for the Poisson equation and harmonic functions with different boundary conditions.

Frequency Response of LTI Systems Log in to Mediaspace to watch this video

Explores LTI systems, impulse response, convolution, system properties, and frequency response, including low-pass and band-pass filters.

Dirichlet Problem for Laplace Equation Log in to Mediaspace to watch this video

Explores the Dirichlet problem for the Laplace equation and Green's function.

Linear PDEs of Order 2 Log in to Mediaspace to watch this video

Covers linear PDEs of order 2, focusing on elliptic second-order PDEs and boundary conditions.

Laplace Equation: Decomposition and Solutions Log in to Mediaspace to watch this video

Covers the Laplace equation, decomposition of linear problems, and solutions through separation of variables.

Poisson & Laplace Equations: Understanding Electrostatics Log in to Mediaspace to watch this video

Explores the derivation of a potential function without knowing the charge distribution and its practical implications in analyzing electrostatic problems.

Fourier Analysis and PDEs Log in to Mediaspace to watch this video

Explores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.

Green's Functions in Laplace Equations Log in to Mediaspace to watch this video

Covers the concept of Green's functions in Laplace equations and their solution construction process.

Phase Portrait and Non-linear Systems Log in to Mediaspace to watch this video

Covers phase portraits, eigenvalue decomposition, Jordan decomposition, and stable nodes in non-linear systems.

Laplace Transform: Basics and Properties Log in to Mediaspace to watch this video

Covers the basics of the Laplace transform, properties, and applications to LTI systems, including transfer function and frequency response.

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