Fourier Transformation: Solving Differential Equations

Related lectures (32)

Discusses complex integration techniques for calculating Fourier transforms and introduces the Laplace transform's applications.

Discusses the application of the Laplace transform to solve differential equations and explores its properties and examples.

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

Explores the solution of the 1D Schrödinger equation using Fourier transforms and convolution techniques.

Explores the properties and applications of the Fourier transform in signal processing and mathematics.

Covers basic definitions and transformations in vibratory mechanics.

Explores the motivation behind Fourier series and transforms, their fundamentals, and applications in solving differential equations.

Covers Fourier series, periodic functions, and Fourier transforms.

Explores the convolution product with examples of radioactive exchange and inversion formulas.

Explores the application of separation of variables in hydrodynamics and the concept of self-similarity.

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

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

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