Siddhartha Mishra: Catalogue data in Autumn Semester 2019
|Name||Prof. Dr. Siddhartha Mishra|
Seminar für Angewandte Mathematik
ETH Zürich, HG G 57.2
|Telephone||+41 44 632 75 63|
|401-4671-00L||Advanced Numerical Methods for CSE||9 credits||4V + 2U + 1P||S. Mishra|
|Abstract||This course will focus on teaching different advanced topics in numerical methods for science and engineering. The main aim would be introduce novel algorithms and discuss their implementation.|
|Objective||--Presentation of state of the art numerical methods in computational fluid dynamics. |
--Advanced implementation in C++
-- Introduction of the role of data in scientific computing, particularly in the context of uncertainty quantification (UQ) and machine learning (deep learning)
|Content||A selection of the following topics will be covered:|
1. Advanced numerical methods in fluid dynamics:
-- Finite volume schemes
-- High-resolution schemes on both structured and unstructured grids
-- ENO/WENO methods for structured grids.
-- DG methods for unstructured grids.
2. Uncertainty quantification in fluid dynamics
-- Modeling of uncertainty in terms of random fields.
-- Monte Carlo methods
-- Multi-level Monte Carlo methods.
-- Quasi-Monte Carlo methods.
3. Deep learning in CFD
-- Introduction to deep learning
--Machine learning and DG methods
--Deep learning observables in CFD.
-- UQ with deep learning
|Lecture notes||Lecture material will be created during the course and will be made available.|
|Prerequisites / Notice||- Familiarity with basic numerical methods |
(as taught in the course "Numerical Methods for CSE").
- Knowledge of numerical methods for differential equations (as covered in the course "Numerical Methods for Partial Differential Equations").
- Some knowledge of HPC.
|401-5000-00L||Zurich Colloquium in Mathematics||0 credits||S. Mishra, P. L. Bühlmann, R. Pandharipande, University lecturers|
|Abstract||The lectures try to give an overview of "what is going on" in important areas of contemporary mathematics, to a wider non-specialised audience of mathematicians.|
|401-5650-00L||Zurich Colloquium in Applied and Computational Mathematics||0 credits||2K||R. Abgrall, R. Alaifari, H. Ammari, R. Hiptmair, S. Mishra, S. Sauter, C. Schwab|