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Détails du Torrent Pour "Partial Differential Equations (Poisson, Laplace, heat eq )"

Partial Differential Equations (Poisson, Laplace, heat eq )

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_NAME_:	Partial Differential Equations (Poisson, Laplace, heat eq )
Description: Description The first part of the course aims to show how the Fourier Transform (FT) can be a powerful tool to solve Partial Differential Equations (PDE). The FT and its inverse (Inverse Fourier Transform, or simply IFT), are derived from the concept of the Fourier series at the beginning of the course, therefore it could be helpful to the student to already know the basics of such subject. Calculus and Multivariable Calculus are a necessary prerequisite to the course, especially the topics related to: calculation of derivatives and integrals, how to compute the gradient, the Laplacian of a function, spherical coordinates, the calculation of the Jacobian, etc. Some knowledge of residues used in Complex Calculus might be useful as well. Course update (February 2021): a second part to the course has been added, which introduces the heat equation and the Laplace equation (in Cartesian and polar coordinates), and aims to show how to solve some exercises on PDE’s step-by-step. The exercises contain different boundary conditions and all the steps leading to the solution are motivated. The method that is used in the second part is that of Separation of Variables, which allows the PDE to be transformed in two different ODE’s (ordinary differential equations). This second part of the course is self-contained and independent of the first one. Some pre-requisite knowledge about ODE’s could be very useful. Exercises on nonhomogeneous heat equations have also been added, as well as exercises on the Wave equation. Who this course is for: Students who want to understand how to solve Partial Differential equations (Poisson, Laplace, heat equation) Students who would like to know more about Fourier Transforms Students who want to understand how to use the Fourier Transform to solve 2nd order ODE’s Requirements Calculus (especially: derivatives, integrals) Multivariable Calculus (especially: the Jacobian, the Laplacian, etc.) Complex Calculus (basics of Fourier series and residues could help) Last Updated 6/2021
YouTube Video:
Catégorie:	Tutorials
Langue :	English
Taille totale:	6.92 GB
Info Hash:	CFDBF86A84E6AB616F38B25681CA841EF3806CEE
Ajouté par:	tutsnode
Date:	2021-07-07 19:06:09
Statut Torrent:	Torrent Verified

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Liste des fichiers:

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TutsNode.com.txt	63.00 B
[TGx]Downloaded from torrentgalaxy.to .txt	585.00 B
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/01 Fourier Transform and its inverse/001 Fourier series.en.srt	5.33 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/01 Fourier Transform and its inverse/001 Fourier series.mp4	27.93 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/01 Fourier Transform and its inverse/002 Fourier Transforms.en.srt	12.21 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/01 Fourier Transform and its inverse/002 Fourier Transforms.mp4	74.06 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/01 Fourier Transform and its inverse/003 Dirac delta.en.srt	21.17 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/01 Fourier Transform and its inverse/003 Dirac delta.mp4	145.63 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/01 Fourier Transform and its inverse/004 Multiple Fourier Transforms.en.srt	14.66 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/01 Fourier Transform and its inverse/004 Multiple Fourier Transforms.mp4	122.23 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/02 Solution of a PDE equation/001 Gradient and Laplacian_ quick summary.en.srt	1.72 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/02 Solution of a PDE equation/001 Gradient and Laplacian_ quick summary.mp4	8.71 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/02 Solution of a PDE equation/002 Example of pde.en.srt	6.13 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/02 Solution of a PDE equation/002 Example of pde.mp4	44.89 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/02 Solution of a PDE equation/003 Solution to the pde part 1.en.srt	15.85 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/02 Solution of a PDE equation/003 Solution to the pde part 1.mp4	129.31 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/02 Solution of a PDE equation/004 Solution to the pde part 2.en.srt	434.00 B
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/02 Solution of a PDE equation/004 Solution to the pde part 2.mp4	3.53 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/02 Solution of a PDE equation/005 Solution to the pde part 3.en.srt	17.26 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/02 Solution of a PDE equation/005 Solution to the pde part 3.mp4	159.33 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/02 Solution of a PDE equation/006 Solution to the pde part 4.en.srt	10.85 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/02 Solution of a PDE equation/006 Solution to the pde part 4.mp4	105.81 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/03 Some more physics behind the pde/001 Physics behind the equation part 1.en.srt	10.48 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/03 Some more physics behind the pde/001 Physics behind the equation part 1.mp4	80.84 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/03 Some more physics behind the pde/002 Physics behind the equation part 2.en.srt	10.00 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/03 Some more physics behind the pde/002 Physics behind the equation part 2.mp4	86.96 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/04 2nd order ODE solved via Fourier Transform/001 2nd order non-homogeneous ODE solved via Fourier Transform.en.srt	38.78 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/04 2nd order ODE solved via Fourier Transform/001 2nd order non-homogeneous ODE solved via Fourier Transform.mp4	582.51 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/05 Heat equation solution via Separation of Variables/001 Separation of variables to solve the heat equation (part 1).en.srt	25.40 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/05 Heat equation solution via Separation of Variables/001 Separation of variables to solve the heat equation (part 1).mp4	358.19 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/05 Heat equation solution via Separation of Variables/002 Separation of variables to solve the heat equation (part 2).en.srt	8.33 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/05 Heat equation solution via Separation of Variables/002 Separation of variables to solve the heat equation (part 2).mp4	140.26 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/05 Heat equation solution via Separation of Variables/003 Separation of variables to solve the heat equation (part 3).en.srt	31.21 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/05 Heat equation solution via Separation of Variables/003 Separation of variables to solve the heat equation (part 3).mp4	354.33 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/06 Laplace Equation solved via the method of Separation of Variables/001 Laplace Equation in Cartesian Coordinates (exercise).en.srt	28.11 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/06 Laplace Equation solved via the method of Separation of Variables/001 Laplace Equation in Cartesian Coordinates (exercise).mp4	435.55 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/06 Laplace Equation solved via the method of Separation of Variables/002 Laplace Equation in Polar coordinates (exercise 1).en.srt	24.67 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/06 Laplace Equation solved via the method of Separation of Variables/002 Laplace Equation in Polar coordinates (exercise 1).mp4	414.34 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/06 Laplace Equation solved via the method of Separation of Variables/003 Laplace Equation in Polar coordinates (exercise 2).en.srt	17.73 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/06 Laplace Equation solved via the method of Separation of Variables/003 Laplace Equation in Polar coordinates (exercise 2).mp4	296.27 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/06 Laplace Equation solved via the method of Separation of Variables/004 Laplace Equation in Polar coordinates (exercise 3).en.srt	16.55 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/06 Laplace Equation solved via the method of Separation of Variables/004 Laplace Equation in Polar coordinates (exercise 3).mp4	258.39 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/06 Laplace Equation solved via the method of Separation of Variables/005 Laplace Equation in Polar coordinates (exercise 4).en.srt	17.41 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/06 Laplace Equation solved via the method of Separation of Variables/005 Laplace Equation in Polar coordinates (exercise 4).mp4	288.28 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/06 Laplace Equation solved via the method of Separation of Variables/006 Concept of streamlines (with exercise).en.srt	16.73 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/06 Laplace Equation solved via the method of Separation of Variables/006 Concept of streamlines (with exercise).mp4	206.00 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/07 Nonhomogeneous Heat Equation/001 Nonhomogeneous Heat Equation_ Exercise 1.en.srt	27.96 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/07 Nonhomogeneous Heat Equation/001 Nonhomogeneous Heat Equation_ Exercise 1.mp4	441.70 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/07 Nonhomogeneous Heat Equation/002 Nonhomogeneous Heat Equation_ Exercise 2.en.srt	8.32 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/07 Nonhomogeneous Heat Equation/002 Nonhomogeneous Heat Equation_ Exercise 2.mp4	137.97 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/07 Nonhomogeneous Heat Equation/003 Nonhomogeneous Heat Equation_ Exercise 3.en.srt	33.41 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/07 Nonhomogeneous Heat Equation/003 Nonhomogeneous Heat Equation_ Exercise 3.mp4	503.62 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/08 Wave Equation (Exercises)/001 Nonhomogeneous Wave Equation (Exercise 1).en.srt	31.66 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/08 Wave Equation (Exercises)/001 Nonhomogeneous Wave Equation (Exercise 1).mp4	357.66 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/08 Wave Equation (Exercises)/002 Nonhomogeneous Wave Equation_ D'Alambert formula.en.srt	50.86 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/08 Wave Equation (Exercises)/002 Nonhomogeneous Wave Equation_ D'Alambert formula.mp4	381.51 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/08 Wave Equation (Exercises)/003 Solving a wave equation using D'Alambert formula (exercise).en.srt	3.81 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/08 Wave Equation (Exercises)/003 Solving a wave equation using D'Alambert formula (exercise).mp4	54.92 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/08 Wave Equation (Exercises)/004 Energy conservation law for the wave equation.en.srt	3.85 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/08 Wave Equation (Exercises)/004 Energy conservation law for the wave equation.mp4	43.74 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/09 Bi-dimensional problems (heat and wave equation)/001 Bi-dimensional heat equation_ exercise 1.en.srt	34.89 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/09 Bi-dimensional problems (heat and wave equation)/001 Bi-dimensional heat equation_ exercise 1.mp4	405.50 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/09 Bi-dimensional problems (heat and wave equation)/002 Bi-dimensional heat equation_ exercise 2.en.srt	11.87 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/09 Bi-dimensional problems (heat and wave equation)/002 Bi-dimensional heat equation_ exercise 2.mp4	100.99 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/09 Bi-dimensional problems (heat and wave equation)/003 Bi-dimensional wave equation_ exercise 1.en.srt	18.22 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/09 Bi-dimensional problems (heat and wave equation)/003 Bi-dimensional wave equation_ exercise 1.mp4	146.10 MB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/10 Appendix/001 Derivation of the incompressible fluid equation.en.srt	11.51 kB
[TutsNode.com] - Partial Differential Equations (Poisson, Laplace, heat eq.)/10 Appendix/001 Derivation of the incompressible fluid equation.mp4	175.94 MB

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Partial Differential Equations (Poisson, Laplace, heat eq )