401-4671-00L  Advanced Numerical Methods for CSE

SemesterAutumn Semester 2019
LecturersS. Mishra
Periodicityyearly recurring course
Language of instructionEnglish


401-4671-00 VAdvanced Numerical Methods for CSE4 hrs
Mon15:15-17:00HG F 1 »
Tue15:15-17:00HG F 1 »
S. Mishra
401-4671-00 UAdvanced Numerical Methods for CSE
Groups are selected in myStudies.
Thu 8-10 or Fri 13-15
2 hrs
Thu08:15-10:00HG D 1.1 »
Fri13:15-15:00HG E 1.1 »
S. Mishra
401-4671-00 PAdvanced Numerical Methods for CSE1 hrsS. Mishra

Catalogue data

AbstractThis 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)
ContentA 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 notesLecture 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.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits9 credits
ExaminersS. Mishra
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Admission requirementThe code review mentioned below is regarded as a mandatory performance element that has to be passed in order to be admitted to the main examination.
Mode of examinationoral 30 minutes
Additional information on mode of examinationStudents are expected to give a 10-15-minute oral code review and answer questions concerning selected homework programming assignments at a date announced in the beginning of the term. This will be graded and the grade will contribute 10% to the final grade. The code review is also regarded as a mandatory performance element that has to be passed in order to be admitted to the main examination.
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

Main linkInformation
Only public learning materials are listed.


401-4671-00 UAdvanced Numerical Methods for CSE
Thu08:15-10:00HG D 1.1 »
Fri13:15-15:00HG E 1.1 »


There are no additional restrictions for the registration.

Offered in

Computational Science and Engineering MasterCore CoursesWInformation