401-4671-00L Advanced Numerical Methods for CSE
Semester | Herbstsemester 2019 |
Dozierende | S. Mishra |
Periodizität | jährlich wiederkehrende Veranstaltung |
Lehrsprache | Englisch |
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. |