Numerik IV

Dates

General Information

• Exam Dates: A list containing the assigned exam dates has been sent to the participants via email. Please send an email to Tobias Kies if you take part in the exam and did not receive your assigned date yet.
• The oral exams will be held on Friday, February 19th. Send an email to Tobias Kies until Friday, February 12th if you want to participate.
• Exercise sheet 12 is online. It will be discussed on February 9th. Notice: Typos in exercises 1 and 3 have been removed.
• Exercise sheet 11 is online. It will be discussed on February 2nd.
• Exercise sheet 10 is online. It will be discussed on January 26th.
• Exercise sheet 9 is online. It will be discussed on January 19th. Notice: Typo in exercise 2 has been corrected.
• Exercise sheet 8 is online. It will be discussed on January 12th.
• Exercise sheet 7 is online. It will be discussed on January 5th.
• Exercise sheet 6 is online. It will be discussed on December 15th.
• There will be no lecture on December 3rd and no tutorial on December 1st . Furthermore, the tutorial on December 8th will be shifted. Further information like exact date and room will be published on time.
• Exercise sheet 5 is online. It presumably will be discussed on December 9th.
• Exercise sheet 4 is online. It will be discussed on November 24th.
• Exercise sheet 3 is online. It will be discussed on November 17th.
• Exercise sheet 2 is online. It will be discussed on November 10th. Notice: The exercise sheet has been updated to remove typos and an erroneous formulation.
• The first exercise sheet has been released. It will be discussed on November 3rd.
• There will be no tutorial on October 20th. Attending the tutorial on October 27th is optional. (No exercises will be discussed, but questions can be posed, of course.)

Target audience:

This lecture is a continuation of the preceding course on "Numerical methods for partial differential equations (Numerik III)". It is intended to broaden the way towards a master thesis in the field of computational PDEs.

Prerequisites:

Participants should have some knowledge about PDEs and their numerical approximation by finite elements as provided, e.g., by the preceding course on "Numerical methods for partial differential equations (Numerik III)".

Registration

All participants should register at the KVV, so that we know who is participating. The overall number of participants is also necessary to justify the equipment of the course. In addition, depending on your program of study, you have to register in the Campus Management.

Exercises and Criteria for a Certificate

Exercise Sheets

• Exercise 1
• Exercise 2 (corrections applied)
• Exercise 3 (formulation clarified)
• Exercise 4
• Exercise 5
• Exercise 6
• Exercise 7
• Exercise 8
• Exercise 9
• Exercise 10
• Exercise 11
• Exercise 11

Tutorial & Exercises

• Solutions of exercises are presented by the students.
• A new exercise sheet will appear on the website every Thursday, starting from October 22nd.
• The exercises are intended to be solved by groups of up to three students.
• There will be theoretical and numerical exercises. The latter should be solved using Matlab. Both types of exercises are rated separately.
• Solutions of numerical exercises should be sent to tobias.kies{at}fu-berlin.de. A solution consists out of running code and a script executing the code for all test runs as well as log files of results for all test runs. It is required to add explanatory comments to the code.
• To our experience, active participation in the tutorial is not only fundamental for the understanding of the presented material but also for a successful exam.

Oral Exam

• There will be an oral exam.
• Students who fail in the oral exam have a second chance.

Criteria for the Certificate

Neccessary and sufficient for a certificate are:

• oral exam
• active participation: successful presentation of solutions of theoretical problems and 50% of the maximal number of points for numerical problems
• constant participation: 85% attendence in the tutorial (not checked)

Certificates are graded according to the result of the oral exam.

Accompanying Material

Lecture Notes Numerik III:

The lecture notes on "Numerical methods for partial differential equations (Numerik III)" are available here, in German only.

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