Download Partial Differential Equations (Poisson, Laplace, heat eq.) torrent

Partial Differential Equations (Poisson, Laplace, heat eq.)

Torrent:	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
Downloads:	136
Category:	Other /Tutorials
Size:	6.9 GB
Show Files »	Partial Differential Equations (Poisson, Laplace, heat eq.) [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 (582.5 MB) 001 2nd order non-homogeneous ODE solved via Fourier Transform.en.srt (38.8 KB) 08 Wave Equation (Exercises) 002 Nonhomogeneous Wave Equation_ D'Alambert formula.en.srt (50.9 KB) 001 Nonhomogeneous Wave Equation (Exercise 1).en.srt (31.7 KB) 004 Energy conservation law for the wave equation.en.srt (3.9 KB) 003 Solving a wave equation using D'Alambert formula (exercise).en.srt (3.8 KB) 002 Nonhomogeneous Wave Equation_ D'Alambert formula.mp4 (381.5 MB) 001 Nonhomogeneous Wave Equation (Exercise 1).mp4 (357.7 MB) 003 Solving a wave equation using D'Alambert formula (exercise).mp4 (54.9 MB) 004 Energy conservation law for the wave equation.mp4 (43.7 MB) 09 Bi-dimensional problems (heat and wave equation) 001 Bi-dimensional heat equation_ exercise 1.en.srt (34.9 KB) 003 Bi-dimensional wave equation_ exercise 1.en.srt (18.2 KB) 002 Bi-dimensional heat equation_ exercise 2.en.srt (11.9 KB) 001 Bi-dimensional heat equation_ exercise 1.mp4 (405.5 MB) 003 Bi-dimensional wave equation_ exercise 1.mp4 (146.1 MB) 002 Bi-dimensional heat equation_ exercise 2.mp4 (101.0 MB) 07 Nonhomogeneous Heat Equation 003 Nonhomogeneous Heat Equation_ Exercise 3.en.srt (33.4 KB) 001 Nonhomogeneous Heat Equation_ Exercise 1.en.srt (28.0 KB) 003 Nonhomogeneous Heat Equation_ Exercise 3.mp4 (503.6 MB) 002 Nonhomogeneous Heat Equation_ Exercise 2.en.srt (8.3 KB) 001 Nonhomogeneous Heat Equation_ Exercise 1.mp4 (441.7 MB) 002 Nonhomogeneous Heat Equation_ Exercise 2.mp4 (138.0 MB) 05 Heat equation solution via Separation of Variables 003 Separation of variables to solve the heat equation (part 3).en.srt (31.2 KB) 001 Separation of variables to solve the heat equation (part 1).en.srt (25.4 KB) 002 Separation of variables to solve the heat equation (part 2).en.srt (8.3 KB) 001 Separation of variables to solve the heat equation (part 1).mp4 (358.2 MB) 003 Separation of variables to solve the heat equation (part 3).mp4 (354.3 MB) 002 Separation of variables to solve the heat equation (part 2).mp4 (140.3 MB) 06 Laplace Equation solved via the method of Separation of Variables 001 Laplace Equation in Cartesian Coordinates (exercise).en.srt (28.1 KB) 002 Laplace Equation in Polar coordinates (exercise 1).en.srt (24.7 KB) 003 Laplace Equation in Polar coordinates (exercise 2).en.srt (17.7 KB) 005 Laplace Equation in Polar coordinates (exercise 4).en.srt (17.4 KB) 006 Concept of streamlines (with exercise).en.srt (16.7 KB) 004 Laplace Equation in Polar coordinates (exercise 3).en.srt (16.6 KB) 001 Laplace Equation in Cartesian Coordinates (exercise).mp4 (435.5 MB) 002 Laplace Equation in Polar coordinates (exercise 1).mp4 (414.3 MB) 003 Laplace Equation in Polar coordinates (exercise 2).mp4 (296.3 MB) 005 Laplace Equation in Polar coordinates (exercise 4).mp4 (288.3 MB) 004 Laplace Equation in Polar coordinates (exercise 3).mp4 (258.4 MB) 006 Concept of streamlines (with exercise).mp4 (206.0 MB) 02 Solution of a PDE equation 001 Gradient and Laplacian_ quick summary.en.srt (1.7 KB) 004 Solution to the pde part 2.en.srt (0.4 KB) 005 Solution to the pde part 3.en.srt (17.3 KB) 003 Solution to the pde part 1.en.srt (15.8 KB) 006 Solution to the pde part 4.en.srt (10.9 KB) 002 Example of pde.en.srt (6.1 KB) 005 Solution to the pde part 3.mp4 (159.3 MB) 003 Solution to the pde part 1.mp4 (129.3 MB) 006 Solution to the pde part 4.mp4 (105.8 MB) 002 Example of pde.mp4 (44.9 MB) 001 Gradient and Laplacian_ quick summary.mp4 (8.7 MB) 004 Solution to the pde part 2.mp4 (3.5 MB) 01 Fourier Transform and its inverse 003 Dirac delta.en.srt (21.2 KB) 004 Multiple Fourier Transforms.en.srt (14.7 KB) 002 Fourier Transforms.en.srt (12.2 KB) 001 Fourier series.en.srt (5.3 KB) 003 Dirac delta.mp4 (145.6 MB) 004 Multiple Fourier Transforms.mp4 (122.2 MB) 002 Fourier Transforms.mp4 (74.1 MB) 001 Fourier series.mp4 (27.9 MB) 10 Appendix 001 Derivation of the incompressible fluid equation.en.srt (11.5 KB) 001 Derivation of the incompressible fluid equation.mp4 (175.9 MB) 03 Some more physics behind the pde 001 Physics behind the equation part 1.en.srt (10.5 KB) 002 Physics behind the equation part 2.en.srt (10.0 KB) 002 Physics behind the equation part 2.mp4 (87.0 MB) 001 Physics behind the equation part 1.mp4 (80.8 MB) TutsNode.com.txt (0.1 KB) [TGx]Downloaded from torrentgalaxy.to .txt (0.6 KB) .pad 0 (0.5 KB) 1 (299.9 KB) 2 (309.3 KB) 3 (462.0 KB) 4 (677.8 KB) 5 (513.4 KB) 6 (506.7 KB) 7 (829.1 KB) 8 (343.3 KB) 9 (681.1 KB) 10 (743.0 KB) 11 (738.4 KB) 12 (628.8 KB) 13 (2.3 KB) 14 (60.9 KB) 15 (684.1 KB) 16 (917.6 KB) 17 (383.9 KB) 18 (757.5 KB) 19 (30.7 KB) 20 (704.3 KB) 21 (785.9 KB) 22 (194.2 KB) 23 (8.8 KB) 24 (40.5 KB) 25 (158.8 KB) 26 (964.0 KB) 27 (76.8 KB) 28 (108.7 KB) 29 (264.7 KB) files
Added:	2021-07-08 11:06:09
Language:	English
Peers:	Seeders : 22 , Leechers : 10
Release name:	Partial Differential Equations (Poisson, Laplace, heat eq.)
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