Voltar para Computers, Waves, Simulations: A Practical Introduction to Numerical Methods using Python

4.8

77 classificações

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37 avaliações

Interested in learning how to solve partial differential equations with numerical methods and how to turn them into python codes? This course provides you with a basic introduction how to apply methods like the finite-difference method, the pseudospectral method, the linear and spectral element method to the 1D (or 2D) scalar wave equation. The mathematical derivation of the computational algorithm is accompanied by python codes embedded in Jupyter notebooks. In a unique setup you can see how the mathematical equations are transformed to a computer code and the results visualized. The emphasis is on illustrating the fundamental mathematical ingredients of the various numerical methods (e.g., Taylor series, Fourier series, differentiation, function interpolation, numerical integration) and how they compare. You will be provided with strategies how to ensure your solutions are correct, for example benchmarking with analytical solutions or convergence tests. The mathematical aspects are complemented by a basic introduction to wave physics, discretization, meshes, parallel programming, computing models.
The course targets anyone who aims at developing or using numerical methods applied to partial differential equations and is seeking a practical introduction at a basic level. The methodologies discussed are widely used in natural sciences, engineering, as well as economics and other fields....

Mar 14, 2019

Well thought out. The material is ordered logically and easy to follow. This online course compliments the book from which it is based on.

Oct 14, 2019

Excellent coverage of the fundamentals. Would love to see another course like this developed that covers more advanced material.

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por Arijit S

•Sep 18, 2019

very clear lectures...

por James S

•Oct 14, 2019

Excellent coverage of the fundamentals. Would love to see another course like this developed that covers more advanced material.

por Victor M

•Nov 03, 2019

Five stars? Yes!!! Because this is a great course. The instructor is in top of his game. I have learnt and understood things I did not understand since 4 years I started learning them. I suggest the instructor give tutorials on 2D methods as well.

por Fahdi M

•Nov 08, 2019

Amazing as Prof Igel can make complex concept easy to understood.

por David

•Nov 16, 2019

Really good professor, good balance between pure maths/physics and its applications in the computational world! As a 'just graduated' physicist, I feel like it was a nice boost in my knowledge because, besides everything, we always learn something new.

por Nguyen D T

•May 26, 2019

A nice course for learning numerical methods. Though it requires a little advanced calculus but python codes are clear and understandable.

por Peter D O

•Jun 21, 2019

Excellence course delivery with practical applications.

por Mike C

•Aug 19, 2019

It was a very interesting class on numerical methods. I think it can be improved if homework assignment were given to help reinforce the lectures. The material was taught in a logical order and I enjoyed the overview of each method.

por Robert H

•Oct 28, 2019

Overall an excellent introduction. The Jupyter notebooks are a great format for these sorts of demonstrations. I do feel that the Finite/Spectral element segments would be more clear if they explained the mathematical derivations in more detail.

por Mauricio D V r

•Oct 08, 2019

It was a great course. I think you should had included the lambda parameter into the elastic wave propagation.

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