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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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51 - 75 of 128 Reviews for Computers, Waves, Simulations: A Practical Introduction to Numerical Methods using Python

By Eigil L

Dec 21, 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.

By jorge g

Aug 2, 2020

This is a very useful course that helps to wrap up the knowledge acquired in advanced lectures during the master's program. Professor Igel is a good lecturer who knows how to transmit his knowledge.

By Bin C

Aug 23, 2020

Very good Course to get an Overview over Numerical Methods with a lot of examples and additional content! I highly recommend this course as a teaching assistant in fields of numerical methods!

By Yutaro H

Dec 11, 2023

日本人でこの講義を受講しました。jupyter notebookを用いた実践的な講義で、有限要素法やスペクトル解析も学べます。数値解析における注意点についても丁寧に解説されており、解像度等の初期設定についても分かり易く教えていただきました。自動翻訳ではありますが日本語の字幕もあるため、日本人は困らないと思います。 千里の道も一歩から。心機一転これからも精進してまいります。

By Alejandro V

Aug 20, 2020

¡Fantástico curso introductorio! Muy bien explicado por parte del profesor, muy buenas libretas de Python y, no menos importante, despierta las ganas de aprender más.

Muy recomendado

By Yerson L

Aug 11, 2020

An excellent course highly recommended, but be careful, its level is quite advanced, it requires knowledge of python, partial differential equations and advanced numerical methods

By 李俊毅

Mar 29, 2020

I really learned a lot of basic ideas and mathematical knowledge of numerical methods, and realized corresponding algorithms to solve research problems through python.

By gkkclouds

Jun 18, 2019

This course teaches me systematically the all kinds of methods to solve the wave-equation of the derivative form. And I want to know the all answers of the tests.

By Alan D

Jul 17, 2020

Excellent course for people wishing to learn about different numerical approaches for wave propagation. Python Notebooks really add to the learning experience.

By 葉政凱

Dec 21, 2019

This course is a great introduction to numerical methods.

I hope that Dr. Igel will provide more courses on writing effective code for numerical methods.

By Victor P

May 2, 2022

This is an outstanding course that covers many subjects briefly. I have learnt so much with the methodology the lecturer have applied for the course.

By Juan E Z

Sep 30, 2020

Truly useful and challenging due to the mixture of concepts. Really made me integrate knowledge I had before about numerical methods and mathematics.

By Thomas D

Jun 26, 2020

A very practical introduction. The later weeks are very dense, but useful for those starting out with FEM methods and need a good primer.

By Yitao H

Apr 9, 2019

This is a great course for intro to numerical course with additional bonus on python code, although a little bit too fast pace.

By Andre S

Oct 22, 2020

Although the mathematical formulation & codes are hard to grasp, I really enjoy and feel challenged by this course. Thank you!

By Manuela B

Oct 16, 2020

Thank you very much! This was an amazing and very clear course. I will use the python codes in my research when possible.

By Muhammad I

Aug 7, 2022

Excellent Course, Really appreciated the effort instructor have put in with intereactive examples and implementations.

By Revanth S K

May 8, 2020

This course is really great, a great way to get a basic understanding and the differences between all the methods.

By Frederico D

Feb 25, 2019

I already know that I will learn a lot even though I am an undergrad. ( FTD from Colorado School of Mines)

By Abdelmouttalib M

Jul 9, 2023

Excellent course and instructor, I recommend it to everyone interested in learning numerical modelling .

By M L M

Oct 5, 2020

Great insight for the application of numerical approximation and improving the capability in programming

By ARIJIT C

Aug 23, 2020

An excellent course towards gaining knowledge in the domain of computational physics. Must recommended

By Dr. P B

May 21, 2020

It is a bit complicated but very effectively conveys the maths behind the computational simulations

By Vivek K G

Apr 2, 2019

The course was highly enlightening. Go to learn a great deal from the course. Thanks to coursera !!