Suchergebnis: Katalogdaten im Herbstsemester 2020

Rechnergestützte Wissenschaften Master Information
Kernfächer
Von den angebotenen Kernfächern müssen mindestens zwei Lerneinheiten erfolgreich abgeschlossen werden.
NummerTitelTypECTSUmfangDozierende
401-4671-00LAdvanced Numerical Methods for CSEW9 KP4V + 2U + 1PS. Mishra
KurzbeschreibungThis 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)
InhaltA 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

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
--Deep learning observables in CFD.
-- UQ with deep learning
SkriptLecture 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").
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