Lecture: Mi, 14-16h, HS Weismann-Haus, Albertstr. 21a
Tutorial: 2 hours, every other week, various dates
31.07., 10:00-12:00
Teacher: Sören Bartels
Assistant: Vera Jackisch
Language: in German
Numerics is a discipline of mathematics that deals with the practical solution of mathematical problems. As a rule, problems are not precisely solved but approximated, for which a sensible compromise of accuracy and computing effort has to be found. In the second part of the two -semester course, questions of the analysis such as the approximation of functions by polynomials, the approximately solution of non -linear equations and the practical calculation of integrals are treated. Attendance at the accompanying computer exercise sessions is recommended. These take place fortnightly, alternating with the tutorial for the lecture.
necessary: Linear Algebra I and Analysis I
useful: Linear Algebra II, Analysis II
Numerics (2HfB21, MEH21)
Numerics (BSc21)
Computer exercises in Numerics
Teacher: Sören Bartels
Assistant: Vera Jackisch
Language: in German
Computer Exercise (2HfB21, MEH21, MEB21)
Elective (Option Area) (2HfB21)
Numerics (BSc21)
Supplementary Module in Mathematics (MEd18)
Seminar: Numerics of Partial Differential Equations
Seminar: Mo, 12-14h, SR 226, Hermann-Herder-Str. 10
Preliminary Meeting 04.02., 12:00, Raum 209, Hermann-Herder-Str. 10, Or registration by e-mail to Sören Bartels.
Teacher: Sören Bartels
Assistant: Vera Jackisch, Tatjana Schreiber
Language: Talk/participation possible in German and English
The seminar will cover advanced topics in the theory and numerics of partial differential equations. This includes the iterative solution of the resulting linear systems of equations with multigrid and domain decomposition methods, the adaptive refinement of finite element grids, the derivation of an approximation theory with explicit constants, and the solution of nonlinear problems.
Introduction to Theory and Numerics of Partial Differential Equations
Elective (Option Area) (2HfB21)
Mathematical Seminar (BSc21)
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Mathematical Seminar (MSc14)
Elective (MSc14)
Mathematical Seminar (MScData24)
Elective in Data (MScData24)
Lecture: Di, Do, 10-12h, SR 226, Hermann-Herder-Str. 10
Tutorial: 2 hours, date to be determined
Teacher: Sören Bartels
Assistant: Vera Jackisch
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 Extensions of 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
Teacher: Sören Bartels
Assistant: Vera Jackisch
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)
Mo 12-14h, HS Rundbau, Albertstr. 21, Fr, 14-16h, HS Rundbau, Albertstr. 21
Teacher: Sebastian Goette
Assistant: Vera Jackisch
Mi, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels
Assistant: Vera Jackisch
Supplementary Module in Mathematics (MEd18)
Compulsory Elective in Mathematics (BSc21)
Lecture: Mo, Mi, 10-12h, HS Rundbau, Albertstr. 21
Teacher: Sebastian Goette
Assistant: Vera Jackisch
Do, 10-12h, SR 125, Ernst-Zermelo-Str. 1
Teacher: Susanne Knies
Assistant: Vera Jackisch
Undergraduate Seminar (2HfB21, BSc21, MEH21, MEB21)
Mo Mi, 16-18h, HS Rundbau, Albertstr. 21
Teacher: Sebastian Goette
Assistant: Vera Jackisch
Lecture: Mo, 16-18h, Raum und Gebäude noch nicht bekannt, -, Mi, 16-18h, HS Rundbau, Albertstr. 21
Teacher: Sören Bartels
Assistant: Vera Jackisch
Teacher: Patrick Dondl, Sören Bartels
Assistant: Vera Jackisch, Guofang Wang
Mi, 16-18h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels
Assistant: Vera Jackisch
Supplementary Module in Mathematics (MEd18)
Compulsory Elective in Mathematics (BSc21)
Teacher: Michael Růžička, Sören Bartels
Assistant: Vera Jackisch
general:
Compulsory Elective in Mathematics (BSc21)
Mathematical Concentration (MEd18, MEH21)
Teacher: Michael Růžička, Sören Bartels
Assistant: Hedwig Keller, Vera Jackisch
Supplementary Module in Mathematics (MEd18)