Course catalog

19049

SoSe 14: Basismodul: Numerik III

Christof Schütte

Additional information / Pre-requisites

Voraussetzungen

Prerequisites for this course are basic knowledge in calculus (Analysis I-III) and Numerical Analysis (Numerik I). Some knowledge in Functional Analysis will help a lot. This lecture will be accompanied by a seminar on "Finite Elements" and a Summerschool both held in block form, probabely in late September.

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Comments

Inhalt:

Mathematical modelling of spatial or spatial/temporal phenomena such as porous medium flow, solidification of melts, weather prediction, etc. typically leads to partial differential equations (pdes). After some remarks on the modelling with and classification of pdes, the course will concentrate on elliptic problems. Starting with a brief introduction to the classical theory (existence and uniqueness of solutions, Green's functions) and assiciated difference methods we will mainly focus on weak solutions and their approximation by finite element methods. Adaptivity and multigrid methods will be also discussed.

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Suggested reading

Literatur

F. John: Partial Differential Equations. Springer (1982)
M. Renardy, R. C. Rogers: An introduction to partial differential equations, Springer, 2. Auflage (2004)
A. Quarteroni, R. Sacco, F. Saleri: Numerische Mathematik 2. Springer (2002)
D. Braess: Finite Elemente. Springer, 3. Auflage (2002)
P. A. Raviart, J. M. Thomas: Introduction à l'analyse numérique des équations aux dérivées partielles, Dunod (1998)

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24 Class schedule

Additional appointments

Mon, 2014-07-14 14:00 - 16:00

Klausurtermin, Takustr. 7 (ZIB), Seminarraum

Lecturers:
Univ.-Prof. Dr. Christof Schütte

Mon, 2014-10-13 14:00 - 16:00

Nachklausur, Takustr. 7 (ZIB) Seminarraum

Lecturers:
Univ.-Prof. Dr. Christof Schütte

Regular appointments

Mon, 10:00 - 12:00 Numerical Methods for partial differential equations (Numerik III) 12 Class schedule

Mon, 2014-04-14 10:00 - 12:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Mon, 2014-04-28 10:00 - 12:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Mon, 2014-05-05 10:00 - 12:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Mon, 2014-05-12 10:00 - 12:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Mon, 2014-05-19 10:00 - 12:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Mon, 2014-05-26 10:00 - 12:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Mon, 2014-06-02 10:00 - 12:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Mon, 2014-06-16 10:00 - 12:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Mon, 2014-06-23 10:00 - 12:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Mon, 2014-06-30 10:00 - 12:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Mon, 2014-07-07 10:00 - 12:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Mon, 2014-07-14 10:00 - 12:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Mon, 14:00 - 16:00 Numerical Methods for partial differential equations (Numerik III) 12 Class schedule

Mon, 2014-04-14 14:00 - 16:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 025/026/A6 Seminarraum (Arnimallee 6)

Mon, 2014-04-28 14:00 - 16:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 025/026/A6 Seminarraum (Arnimallee 6)

Mon, 2014-05-05 14:00 - 16:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 025/026/A6 Seminarraum (Arnimallee 6)

Mon, 2014-05-12 14:00 - 16:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 025/026/A6 Seminarraum (Arnimallee 6)

Mon, 2014-05-19 14:00 - 16:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 025/026/A6 Seminarraum (Arnimallee 6)

Mon, 2014-05-26 14:00 - 16:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 025/026/A6 Seminarraum (Arnimallee 6)

Mon, 2014-06-02 14:00 - 16:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 025/026/A6 Seminarraum (Arnimallee 6)

Mon, 2014-06-16 14:00 - 16:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 025/026/A6 Seminarraum (Arnimallee 6)

Mon, 2014-06-23 14:00 - 16:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 025/026/A6 Seminarraum (Arnimallee 6)

Mon, 2014-06-30 14:00 - 16:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 025/026/A6 Seminarraum (Arnimallee 6)

Mon, 2014-07-07 14:00 - 16:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 025/026/A6 Seminarraum (Arnimallee 6)

Mon, 2014-07-14 14:00 - 16:00

Numerical Methods for partial differential equations (Numerik III)

Location:
SR 025/026/A6 Seminarraum (Arnimallee 6)

Back to list of modules

Location: Mo SR 025/026/A6 Seminarraum (Arnimallee 6), Mo SR 119/A3 Seminarraum (Arnimallee 3 / 3A)

Schedule: Mo 10:00-12:00, Mo 14:00-16:00, zusätzliche Termine siehe LV-Details

Class starts on: 2014-04-14

Course language: German

Contact hours: 4

ECTS credits: 10 (for exchange students)

Number of participants: 26

Limited attendance: Yes

Attendance required: No

Modules where this course belongs: