Course catalog

19207101

Partial differential equations with multiple scales: Theory and computation

Juliane Rosemeier

Comments

Content:
This course considers the fundamental equation of fluid dynamics - the incompressible Navier-Stokes equations. These partial differential equations are nonlinear, not symmetric, and they are a coupled systems of two equations. The dominating term is generally the convective term. All these features lead to difficulties in the numerical simulation of the Navier-Stokes equations. The course will start with a derivation of these equations and an overview about results from the analysis will be given. The difficulties in the numerical simulation of the Navier-Stokes equations can be studied separately at simpler equations. This course will consider only stationary equations. The time-dependent equations, in particular turbulent flows, will be the topic of the next semester.

Requirements:
Basic knowledge on numerical methods for partial differential equations, in particular finite element methods (Numerical Mathematics 3)

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16 Class schedule

Regular appointments

Wed, 10:00 - 12:00 Partielle Differentialgleichungen mit multiplen Skalen: Theorie und Numerik 16 Class schedule

Wed, 2025-10-15 10:00 - 12:00

Partielle Differentialgleichungen mit multiplen Skalen: Theorie und Numerik

Lecturers:
Juliane Rosemeier

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Wed, 2025-10-22 10:00 - 12:00

Partielle Differentialgleichungen mit multiplen Skalen: Theorie und Numerik

Lecturers:
Juliane Rosemeier

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Wed, 2025-10-29 10:00 - 12:00

Partielle Differentialgleichungen mit multiplen Skalen: Theorie und Numerik

Lecturers:
Juliane Rosemeier

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Wed, 2025-11-05 10:00 - 12:00

Partielle Differentialgleichungen mit multiplen Skalen: Theorie und Numerik

Lecturers:
Juliane Rosemeier

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Wed, 2025-11-12 10:00 - 12:00

Partielle Differentialgleichungen mit multiplen Skalen: Theorie und Numerik

Lecturers:
Juliane Rosemeier

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Wed, 2025-11-19 10:00 - 12:00

Partielle Differentialgleichungen mit multiplen Skalen: Theorie und Numerik

Lecturers:
Juliane Rosemeier

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Wed, 2025-11-26 10:00 - 12:00

Partielle Differentialgleichungen mit multiplen Skalen: Theorie und Numerik

Lecturers:
Juliane Rosemeier

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Wed, 2025-12-03 10:00 - 12:00

Partielle Differentialgleichungen mit multiplen Skalen: Theorie und Numerik

Lecturers:
Juliane Rosemeier

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Wed, 2025-12-10 10:00 - 12:00

Partielle Differentialgleichungen mit multiplen Skalen: Theorie und Numerik

Lecturers:
Juliane Rosemeier

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Wed, 2025-12-17 10:00 - 12:00

Partielle Differentialgleichungen mit multiplen Skalen: Theorie und Numerik

Lecturers:
Juliane Rosemeier

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Wed, 2026-01-07 10:00 - 12:00

Partielle Differentialgleichungen mit multiplen Skalen: Theorie und Numerik

Lecturers:
Juliane Rosemeier

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Wed, 2026-01-14 10:00 - 12:00

Partielle Differentialgleichungen mit multiplen Skalen: Theorie und Numerik

Lecturers:
Juliane Rosemeier

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Wed, 2026-01-21 10:00 - 12:00

Partielle Differentialgleichungen mit multiplen Skalen: Theorie und Numerik

Lecturers:
Juliane Rosemeier

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Wed, 2026-01-28 10:00 - 12:00

Partielle Differentialgleichungen mit multiplen Skalen: Theorie und Numerik

Lecturers:
Juliane Rosemeier

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Wed, 2026-02-04 10:00 - 12:00

Partielle Differentialgleichungen mit multiplen Skalen: Theorie und Numerik

Lecturers:
Juliane Rosemeier

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Wed, 2026-02-11 10:00 - 12:00

Partielle Differentialgleichungen mit multiplen Skalen: Theorie und Numerik

Lecturers:
Juliane Rosemeier

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

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Location: A6/SR 032 Seminarraum (Arnimallee 6)

Schedule: Mi 10:00-12:00

Class starts on: 2025-10-15

Course language: German

Contact hours: 2

Number of participants: 20

Limited attendance: Yes

Attendance required: No

Relevant semester: 0

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