Siddhartha Mishra: Katalogdaten im Herbstsemester 2019 |
| Name | Herr Prof. Dr. Siddhartha Mishra |
| Lehrgebiet | Angewandte Mathematik |
| Adresse | Seminar für Angewandte Mathematik ETH Zürich, HG G 57.2 Rämistrasse 101 8092 Zürich SWITZERLAND |
| Telefon | +41 44 632 75 63 |
| siddhartha.mishra@sam.math.ethz.ch | |
| URL | https://people.math.ethz.ch/~smishra |
| Departement | Mathematik |
| Beziehung | Ordentlicher Professor |
| Nummer | Titel | ECTS | Umfang | Dozierende | |
|---|---|---|---|---|---|
| 401-4671-00L | Advanced Numerical Methods for CSE  | 9 KP | 4V + 2U + 1P | S. Mishra | |
| Kurzbeschreibung | 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. | ||||
| Lernziel | --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) | ||||
| Inhalt | 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 | ||||
| Skript | Lecture material will be created during the course and will be made available. | ||||
| Voraussetzungen / Besonderes | - 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 KP | S. Mishra, P. L. Bühlmann, R. Pandharipande, Uni-Dozierende | ||
| Kurzbeschreibung | 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. | ||||
| Lernziel | |||||
| 401-5650-00L | Zurich Colloquium in Applied and Computational Mathematics | 0 KP | 2K | R. Abgrall, R. Alaifari, H. Ammari, R. Hiptmair, S. Mishra, S. Sauter, C. Schwab | |
| Kurzbeschreibung | Research colloquium | ||||
| Lernziel | |||||