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Exercise sheet PDE 1: Question 1 worked exampleWorked example showing the application of the separated solution and the d'Alembert methods to the 1D wave equation
From Daniel Friedrich
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Exercise sheet Fourier series 1: Question 1a worked exampleWorked example showing the calculation of the Fourier series of a periodic function
From Daniel Friedrich
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Waves in Complex Continua (Wavinar) - C. J. ChapmanSubtitles can be turned off by clicking CC. C. J. Chapman (University of Keele) The finite product method in approximation theory, and some applications
From Liam Holligan
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Topic 27: Example of Plotting the Spectrum of a Periodic Signal (SNADA, Chapter 5)This Topic considers how to plot the Spectrum of a periodic signal, by plotting the complex Fourier coefficient against frequency of the corresponding complex phasor. This Topic considers a very…
From James Hopgood
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Elliptic PDE Analytical methods Example 5: Cylindrical coordinatesStep by step example solving the Laplace equation on a circle where the upper half of the circle is held at a high temperature while the lower half is held at a low temperature.
From Daniel Friedrich
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Elliptic PDE Analytical methods Part 6: Poissons equationThis video introduces Poisson's equation which is the Laplace equation with a non-zero right hand side.
From Daniel Friedrich
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Topic 23: Complex Phasors and their Application to Fourier Analysis (SNADA, Chapter 5)This Topic motivates the reasons for developing the complex Fourier series, with the aim of working towards the generalisation of spectral analysis methods with Fourier transforms. The Topic then…
From James Hopgood
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431 plays
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Elliptic PDE Analytical methods Example 3: Separated solution with Fourier seriesThis video show how we can use the method of separation of variables together with the Fourier series to find the solution of the Laplace equation. A brief recap of the Fourier series is given at the…
From Daniel Friedrich
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Fourier series Week 2 Part 1: Even and odd functionsThis video discusses even and odd functions and how this can be used to simplify the calculation of the Fourier series coefficients.
From Daniel Friedrich
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Fourier series Week 1 Part 5: Prove the Fourier coefficientsThis video uses the orthogonality of the trigonometric functions to derive and prove the Fourier series coefficients.
From Daniel Friedrich
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Fourier series Week 1 Part 4: OrthogonalityThis video discusses the orthogonality of the trigonometric functions.
From Daniel Friedrich
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Topic 32: Generating Gaussian Samples (PETARS, Chapter 5)In this video, the probability transformation rule is used to show that the Box-Muller transformation can convert two uniform random variables into two independent Gaussian random variables.…
From James Hopgood
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