Lecture: Mo, Mi, 12-14h, HS II, Albertstr. 23b
Tutorial: 2 hours, date to be determined and announced in class
Requirements on examinations, assessments and coursework will be described in the supplements of the module handbooks to be published as part of the course cataloque by end of October.
Teacher: Patrick Dondl
Assistant: Ludwig Striet, Oliver Suchan
Language: in English
The aim of this course is to give an introduction into theory of linear partial differential equations and their finite difference as well as finite element approximations. Finite element methods for approximating partial differential equations have reached a high degree of maturity, and are an indispensable tool in science and technology. We provide an introduction to the construction, analysis, and implementation of finite element methods for different model problems. We will address elementary properties of linear partial differential equations along with their basic numerical approximation, the functional-analytical framework for rigorously establishing existence of solutions, and the construction and analysis of basic finite element methods.
Required: Analysis~I and II, Linear Algebra~I and II as well as knowledge about higher-dimensional integration (e.g. from Analysis~III or from Further Chapters in Analysis) \
Recommended: Numerics for differential equations, Functional analysis
Elective (Option Area) (2HfB21)
Compulsory Elective in Mathematics (BSc21)
Mathematical Concentration (MEd18, MEH21)
Applied Mathematics (MSc14)
Mathematics (MSc14)
Concentration Module (MSc14)
Elective (MSc14)
Advanced Lecture in Numerics (MScData24)
Elective in Data (MScData24)
Computer exercises for 'Introduction to Theory and Numerics of Partial Differential Equations'
Requirements on examinations, assessments and coursework will be described in the supplements of the module handbooks to be published as part of the course cataloque by end of October.
Teacher: Patrick Dondl
Assistant: Ludwig Striet, Oliver Suchan
Language: in English
The computer tutorial accompanies the lecture with programming exercises.
See the lecture – additionally: programming knowledge.
Elective (Option Area) (2HfB21)
Elective (BSc21)
Supplementary Module in Mathematics (MEd18)
Elective (MSc14)
Elective (MScData24)
Lecture: Mo, 12-14h, HS Rundbau, Albertstr. 21, Mi, 10-12h, HS Weismann-Haus, Albertstr. 21a
Tutorial: 2 hours, various dates
Sit-in exam 19.02., 10:15-11:45, HS Rundbau, Albertstr. 21
Sit-in exam (resit) 28.04., 10:00-11:30, SR 226, Hermann-Herder-Str. 10
Teacher: Patrick Dondl
Assistant: Oliver Suchan
Language: in German
Lebesgue measure and measure theory, Lebesgue integral on measure spaces and Fubini's theorem, Fourier series and Fourier transform, Hilbert spaces. Differential forms, their integration and outer derivative. Stokes' theorem and Gauss' theorem.
Required: Analysis I and II, Linear Algebra I
Elective (Option Area) (2HfB21)
Analysis III (BSc21)
Mathematical Concentration (MEd18, MEH21)
Elective in Data (MScData24)
Proseminar: Gegenbeispiele in der Analysis
Di, 16-18h, SR 226, Hermann-Herder-Str. 10
Teacher: Patrick Dondl
Assistant: Simone Hermann, Oliver Suchan
Di, 16-18h, SR 226, Hermann-Herder-Str. 10
Teacher: Patrick Dondl
Assistant: Simone Hermann, Oliver Suchan
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Lecture: Mi, 14-16h, HS Rundbau, Albertstr. 21
Sit-in exam 04.08., 09:00-12:00
Sit-in exam (resit) 21.10., 10:00-13:00
Teacher: Sören Bartels, Guofang Wang
Assistant: Oliver Suchan
general: ,
Praktische Übung zu „Numerik“
Teacher: Sören Bartels, Steve Wolff-Vorbeck
Assistant: Oliver Suchan
general:
Computer Exercise (2HfB21, MEH21, MEB21)
Supplementary Module in Mathematics (MEd18)
Lecture: Mi, 14-16h, HS Rundbau, Albertstr. 21
Teacher: Diyora Salimova
Assistant: Oliver Suchan
general: ,
Numerics I (MEB21)
Praktische Übung zu "Numerik"
Teacher: Diyora Salimova
Assistant: Coffi Aristide Hounkpe, Jakob Rotter, Oliver Suchan
general:
Computer Exercise (2HfB21, MEH21, MEB21)
Supplementary Module in Mathematics (MEd18)