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

Learner Reviews & Feedback for Computers, Waves, Simulations: A Practical Introduction to Numerical Methods using Python by Ludwig-Maximilians-Universität München (LMU)

4.8
stars
374 ratings

About the Course

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....

Top reviews

EL

Dec 20, 2021

Would have like more "empty" cells in notebooks for trying to establish loop one self and then having a "correct" output to aim for. Maybe followed by a solution cell with a correct implementation.

MF

Nov 26, 2019

A fascinating teaching technique, delivering quality content with a well-thought quizzes system! It' hard to find better courses in the domain of Finite Difference and Spectral Element methods

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126 - 133 of 133 Reviews for Computers, Waves, Simulations: A Practical Introduction to Numerical Methods using Python

By Thanh N D

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May 25, 2019

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

By Mauricio D V r

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Oct 8, 2019

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

By PETER O

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Jun 21, 2019

Excellence course delivery with practical applications.

By Saul M

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Apr 27, 2021

Great, learner-friendly introduction to the subject

By Vanesa M R

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Nov 10, 2021

genial

By Amine O

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Mar 15, 2021

some parts of the courses should be broken down into smaller steps or at least add links to a pdf document where the demonstration /solution is broken down into easy-to-follow steps. so videos had mistakes that were corrected after they were played, I found this distracting, you could just redo the video or edit it on the spot rather than later.

I liked the tone and clarity of Heiner explanations, I loved the visual interpretations of the mathematical concepts. I can see that there was much more knowledge he could deliver which was outside of the scope of this course. and I think he should, the beauty of online courses is that it could branches to as much fundamental concepts as the leaner is willing to take.

By Hasan M

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Nov 30, 2021

Good Introduction to some of the more popular numerical methods used in Computational Science and Engineering. It shouldn't have "Practical" in the title because these are 1-D toy problems and you don't get involved in coding yourself although you are free to change and play around with his code. It doesn't build your intuition of how to implement Numerical Methods in computer programs efficiently. This course is good for those looking for an Introduction to the Numerical Methods listed: FD, FEM, Pseudo-Spectral, Spectral-Element Method. It is not suitable for those who want to learn how to program AS WELL.

By SSG R

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Aug 4, 2023

The presentation skills are superb, but that doesn't mean that the course will be easier to understand. I think there should be example problems to the algorithm that we study. For example, in week two, while explaining tailor series, an example of cos(x) was given, in later weeks, such examples were not given; it was just like derive the formula and go to python without an example such as the one I discussed.