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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)

4.7
stars
351 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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101 - 125 of 128 Reviews for Computers, Waves, Simulations: A Practical Introduction to Numerical Methods using Python

By Akash K

May 6, 2020

Excellent course

By Rigoberto A

Jan 28, 2024

Excelente curso

By Camilo A M J

Jan 18, 2022

Great course

By Richard A P R

Dec 19, 2019

Great Teacher

By Souvik M

Mar 28, 2019

GREAT COURSE

By Дмитрий Д

May 21, 2023

Perfect!

By JOKO S

Feb 10, 2024

nice

By Ankur W

Apr 9, 2019

GOOD

By Y D

Mar 10, 2023

The course is comprehensive and with much useful details. The notebooks are especially useful.

It may be more self-contained if there's more intuition, like explaining why a specific property or relation holds, why a certain procedure is taken and works. I find it necessary going to literatures once in a while to truly understand the contents.

Plus, I was expecting more contents on parallel programming and computing models when reading the "About this course" section. Currently there's 10 min of the former topic, and I don't see the latter topic included.

By Michail V

Feb 17, 2021

The video lectures are very well made and great effort is made to present concepts in an understandable way. The existence of the Jupyter notebooks greatly compliment the course's objectives. There is a lot of content and the author gives initiative to examine the given code with the follow along videos. The material is quite extensive and if someone wants to get into more details in certain parts they might be unsatisfied. However the course gives a good outlook of the methods contained.

By Prabhdeep S

Aug 31, 2022

It was a great course, especially in introduction to the different numerical methods that are used to simulate waves. This was more theory focussed though it had the python jupyter notebook exercises. They weren't as involved with the quizes and questions. Anyway it's still a good introduction to numerical methods and it's well taught.

By Julieta D P F

Sep 5, 2021

I learnt a lot and really liked it, I only think that somehow they should grade the labs because you can pass the course without properly checking the labs and in finite elements the labs have some things that are just assume but not explained properly and there is a mistake in the simulation

By Luca B

May 14, 2020

Overall, a nice overview of numerical methods to solving PDEs. Most positive aspects of the course: relatively concise, implementation-oriented. Most negative aspects of the course: examples all focused on wave equation + some concepts introduced too fast in the second half of the course.

By Semeon A

May 27, 2020

The high quality course - videos with thoughtful presentation at the background and well explained Jupyter notebooks in Python. Topics beyond the course are mentioned in the last video in the best traditions of a good serial season. Waiting for the next season!

By Bobby H

Oct 27, 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.

By 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.

By Mohamed N

May 26, 2021

It's a nice course for someone who don't have a previous background about numerical methods, but there should be another course in which we tackle those concepts in more details because I felt that I lost in the mathematics.

By Christian C

Oct 21, 2020

As someone who had prior but not so strong introduction to numerical methods, this course helped me bridge the gap between theory and implementation in code. Personally, I think the programming exercises are too few.

By Kanishk B

Jul 5, 2020

I liked how the course was structured and well curated. However I feel it can be improved with more intuitive explanations of the numerous mathematical concepts introduced.

By ABDUL A

Dec 2, 2021

Great experience. Really came to know about the theory of simulation techniques coupled with the introductory knowledge of python language.

By Nguyen D T

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

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

Jun 21, 2019

Excellence course delivery with practical applications.

By Saul M

Apr 27, 2021

Great, learner-friendly introduction to the subject

By Vanesa M R

Nov 10, 2021

genial