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Short Course on Introduction to Solving PDEs with Machine Learning

Monday 27 January 2020 - Monday 27 January 2020

To register to the mini-course, please contact This email address is being protected from spambots. You need JavaScript enabled to view it. before Friday 24th of January 2020.

Short Course on Introduction to Solving PDEs with Machine Learning

 

Solving partial differential equations is an engineer's bread and butter. Classical discretization techniques such as finite-difference or finite-volume are powerful methods for the numerical solution of PDEs, however, their reliance on robust and efficient mesh generation often presents difficulties in solution convergence or necessitates enormous computational resources to obtain an accurate solution. In this lecture, an alternative method based on a statistical machine learning approach will be presented, which yields a continuous, differentiable, and meshless representation of the hidden PDE solution. The topics covered will include machine learning basics, foundations in neural networks, and PDE solution techniques with neural networks. Following the lecture, a practical session on solving PDEs will be presented using the Tensorflow library and Jupyter notebooks with Google Colab. All lecture slides and Jupyter notebooks will be available after the lecture.

Schedule

13:30-14:15 Introduction to Machine Learning with Neural Networks

14:20-15:00 Solving PDEs with Neural Networks

15:00-15:30 Coffe Break

15:30-16:15 Introduction to Tensorflow

16:20-17:00 Solving PDEs with Tensorflow

 

Eligibility Criteria

The citizens of the following countries are eligible to attend the von Karman Institute Lecture Series:

- EU member countries
- NATO member countries
- NATO's Mediterranean Dialogue (Algeria, Egypt, Israel, Jordan, Mauritania, Morocco, Tunisia)
- Istanbul Cooperation Initiative (Bahrain, Kuwait, Qatar, United Arab Emirates)
- Argentina, Australia, Bolivia, Brazil, Cabo Verde, Cameroon, Chile, Colombia, Japan, India, Indonesia, Macedonia, Malaysia, Mauritania, Mexico, Montenegro, Mozambique, New Zealand, Nigeria, Republic of Korea, Saudi Arabia, Serbia, Singapore, South Africa, Switzerland, Thailand, Uruguay, South-Africa and Vietnam.

VKI reserves the right to request a clearance check with Belgian authorities.

The participants will have to present their ID card (for EU citizens) or passport (for other citizens).

Registration

To register to the mini-course, please contact Prof. Miguel Mendez (This email address is being protected from spambots. You need JavaScript enabled to view it.) before Friday 24th of January 2020! The registration will be closed on Friday 24th of January.