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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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76 - 100 of 128 Reviews for Computers, Waves, Simulations: A Practical Introduction to Numerical Methods using Python

By Sreenath S

Jun 17, 2020

Amazing and well-structured course. Theory, mathematical explanations, and python are well taught.

By Vadim K

May 14, 2020

Very clear exposition of motivation of the numerical methods and of the corresponding mathematics!

By Dagoberto M T

Jul 27, 2021

Es Excelente la manera en que desarrolla la matemática y a la vez lo muestra en los códigos.

By Gil A

Aug 27, 2019

Fun, interactive, and well explained. A very good introduction to numerical wave simulations

By Javier A L E

Nov 28, 2020

Great course, more in depth than others and great way to introduce yourself into the topic

By Григорий Б

Oct 13, 2021

хорошая доля практики, иллюстрирующей теоретические основы. было полезно и интересно

By Soumya S

Dec 26, 2019

The course is very well structured and Dr. Heiner Igel explained the concepts well.

By Enkuneh C

Aug 11, 2019

A two thumbs up coarse! I wish it continues!

Thank you Pr. Dr. Heiner Igel

By Aazedine B

May 25, 2021

I really thankful for this course. for me, it was a great experience.

By Bhuvneshwari S

May 31, 2020

Great learning of numerical methods and wave simulation using python.

By Fahdi M

Nov 8, 2019

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

By Defne

Jul 10, 2023

very informational, and i like the studies done on the notebook.

By A G

Jul 21, 2020

Very interesting course. Looking forward to more courses by LMU.

By Abhishek K

Mar 3, 2020

i learnt many of the things which i don't know.Thank you sir

By Fabian K

Jul 27, 2021

Very nice course with interactive questions in-between👍.

By BOUGHDAD O

Mar 15, 2020

I really loved the course. It is very didactic. Thank you!

By Pongthep

Oct 21, 2019

The most intuitive materials in numerical method in waves.

By Nithish V K

Aug 12, 2020

Amazing And Learned a lot from this course

By IOANNIS S

Feb 26, 2023

Great course and an excellent instructor!

By Luis A D R

Jan 1, 2020

Great class, teach by a great professor.

By Horst L

Jul 10, 2021

Great course and great presentation.

By B.VEGESH

Jul 15, 2020

super I learnt a lot . good course

By Melese T S

Jul 11, 2021

Very good presentation skill

By Arijit S

Sep 18, 2019

very clear lectures...

By Angela S

Jun 12, 2020

Excellent course!