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

学生对 路德维希马克西米利安慕尼黑大学 提供的 Computers, Waves, Simulations: A Practical Introduction to Numerical Methods using Python 的评价和反馈

4.8
95 个评分
44 条评论

课程概述

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....

热门审阅

MF

Nov 27, 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

NL

Mar 14, 2019

Well thought out. The material is ordered logically and easy to follow. This online course compliments the book from which it is based on.

筛选依据:

26 - Computers, Waves, Simulations: A Practical Introduction to Numerical Methods using Python 的 43 个评论(共 43 个)

创建者 Yitao H

Apr 09, 2019

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

创建者 New 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)

创建者 Vivek K G

Apr 02, 2019

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

创建者 Gil A

Aug 27, 2019

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

创建者 Soumya S

Dec 26, 2019

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

创建者 Enkuneh C

Aug 11, 2019

A two thumbs up coarse! I wish it continues!

Thank you Pr. Dr. Heiner Igel

创建者 Fahdi M

Nov 08, 2019

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

创建者 Luis A D R

Jan 01, 2020

Great class, teach by a great professor.

创建者 Arijit S

Sep 18, 2019

very clear lectures...

创建者 Richard A P R

Dec 19, 2019

Great Teacher

创建者 Souvik M

Mar 28, 2019

GREAT COURSE

创建者 ANKUR W

Apr 09, 2019

GOOD

创建者 Robert H

Oct 28, 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.

创建者 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.

创建者 Nguyen D T

May 26, 2019

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

创建者 Mauricio D V r

Oct 08, 2019

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

创建者 Peter D O

Jun 21, 2019

Excellence course delivery with practical applications.