This is an excellent course. Many important concepts of four important numerical methods (finite difference, spectral, finite element, and spectral element) are fully explained and worked out for leading with hyperbolic partial differential equations, and others. The Python programs are very interesting and can be used for solving other problems and understanding the presented material.

One of the plus point of this course is the exhaustiveness of codding examples, which allow students to explore the simulation from both mathematical and physical standpoint. The lectures, though concince and clear, but apparently lacked some depth. This, however, I believe is amply compensated by the coding examples provided. Overall, it is a well-organized and delivered course.

Incredibly good jupyter notebooks. Very good balance between theory and application. I would have liked to learn about more differential equation than the elastic wave equations and how the methods learned in this course can be applied to other pdes. But then again... "waves" is in the title of the course, so it's not too surprising that waves are the focus of the lecture.

One of the best things about this course is the professor's elegant and lucid explanation of difficult concepts of numerical methods during his scintillating lectures. He is actually aware of his field very well. And the integration of properly commented Jupyter notebooks justified it's name as to "A practical introduction......". Thanks, Professor!!

I truly enjoyed the course. It was well-structured, clear and there was a good combination between mathematical derivations and practical aspects using Python. I don't work with wave propagation, but had the interest of exploring numerical methods in Python to solve PDE. Mission accomplished! Especial thanks to Prof. Heiner Igel

Really great course. It dives into advanced mathematics in numerical simulations. Heiner Igel, the course professor, is very responsive and helpful. The course lectures, coupled with the course textbook and the python notebooks are serve to deliver a comprehensive course about scientific numerical simulations.

This course has been an eye opener for me in computational seismology. The concepts and content have been presented in a simple to understand and implement manner. The Jupiter notebooks inclusion in the course were very invaluable. This is a great introduction to seismology. Thank you so much Prof. Igel.

Learnt a lot from this course. Very well structured. Some knowledge of seismology, numerical computation is useful. Even otherwise, Prof.Igel does a great job delivering the core concepts of seismic simulation. Would highly recommend to anyone who is interested in numerical modeling of wave propagation.

Initially I didn't like the course. During months the course was waiting for me to revise my opinion. Ultimately, after finishing the course I feel that I have learnt quite a lot. It has refreshed a lot of stuff that I had forgotten and I learnt also plenty of new stuff.

It's a very useful course to remember or to study for first time numerical methods and implement them on python. I think it is a little short but all the information is of a very high level and the professor made a really good job with the videos and the forums.

It was the greatest course that I have taken online because it asks you the main ideas through the video, so I only needed to take feel notes on the calculations. I finished it in 9 days and I will definitely recommend to my friends from my former university.

I am a french student interested in numerical resolution. This course was great. The mix between maths, physics and informatics was perfect.

I will search a course about the topics wich were not treated (boundary conditions, 2D for finite-element scheme ...)

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.

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.

Had a great time learning the concepts of numerical methods and how to apply them using python. This course gave an insight into many real world problems and how their solution can be approached using numerical techniques.

Thank you very much sir.

Such an amazing Instructor, hats of to you sir. It was such a nice experience to do this course, the lecture videos are very lucid and I am really happy to learn a wide variety of numerical methods along with the ability to code it in python.

This was a great introduction to numerical methods! Prof. Heiner Igel did a fantastic job of making the course the right balance between approachable and rigorous. The python labs were insightful and great learning tools. Highly recommended!

One of the best online courses I've ever had. It helped me to learn concepts of numerical analysis in the area of wave propagation , dynamics and seismology , special thanks to Dr.Heiner Igel and Coursera for this state-of-the-art course !

Very clear explanations, and visually striking. Python parts well thought out- both in their content, accompanying videos and notebook implementation. Of all the courses I have taken online, this makes the best use of the medium.

A great course, substantial, rigorous, and highly enjoyable. A well-balanced mix of theory and practice, leading to the spectral element method in 1D. Nice Python implementations, an excellent presenter, highly recommended !!

A highly recommended course to enter in the basics of numerical simulation. Good explanations, clear Python codes and Prof. Igel always ready to answer the questions. Hope to see the next part (discontinuous Galerkin) soon.

Very good course as an introduction into methods used in solving wave equation numerically. As for me, there were too little maths, especially in the last weeks. Probably it's right, because not everyone is good at it.

I liked the course because it is well presented. Both theoretical and practical problems are thoroughly explained. It is cool the Python programming is presented and both practice and code are available. Great thanks.

An impressive and compelling lecture. meaningful introduction to different sort of numerical methods that could help to solve different real problems, it is really notewhorthy that is very dynamic and entertaining.

I really enjoyed this course. Professor Igel has done an great job putting all this material together. All concepts are very well explained . The python notebooks are well documented and completes.the theory.

Thanks!