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Computers, Waves, Simulations: A Practical Introduction to Numerical Methods using Python(으)로 돌아가기

뮌헨대학교(LMU)의 Computers, Waves, Simulations: A Practical Introduction to Numerical Methods using Python 학습자 리뷰 및 피드백

4.8
81개의 평가
38개의 리뷰

강좌 소개

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....

최상위 리뷰

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.

필터링 기준:

Computers, Waves, Simulations: A Practical Introduction to Numerical Methods using Python의 37개 리뷰 중 26~37

교육 기관: 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.

교육 기관: Victor M

Nov 03, 2019

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.

교육 기관: Fahdi M

Nov 08, 2019

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

교육 기관: James S

Oct 14, 2019

Excellent coverage of the fundamentals. Would love to see another course like this developed that covers more advanced material.

교육 기관: Doreen B

Jun 09, 2019

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.

교육 기관: Niels C N

Apr 13, 2019

Heiner Igel is an excellent teacher and he stops Just before the real complications begin as he should at this introduction level. The format of the course is such that Heiner Igel explains to the viewer while hand-written equations and drawings appear absolutely synchronized in the background. Then there are programming exercises where you can run simulations in Python (using Jupyter Notebooks). The programs are well-structured and easy to follow and manipulate to test out the theories. Super well prepared - it has clearly taken a very long time to put this course together. The explanations are detailed enough to get a good feel for the numerical methods and their implementations, but not such that everything is painstakingly derived mathematically. Overall a good introduction to numerical methods without too many complications, but you do get a feel for how complicated it could quickly become.

교육 기관: 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.

교육 기관: 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.

교육 기관: 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.

교육 기관: 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.

교육 기관: Peter D O

Jun 21, 2019

Excellence course delivery with practical applications.