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)
Lecture: Mi, 10-12h, SR 226, Hermann-Herder-Str. 10
Tutorial: 2 hours, date to be determined
Teacher: Sören Bartels
Assistant: Tatjana Schreiber
Language: in English
The lecture addresses algorithmic aspects in the practical realization of mathematical methods in big data analytics and machine learning. The first part will be devoted to the development of recommendation systems, clustering methods and sparse recovery techniques. The architecture and approximation properties as well as the training of neural networks are the subject of the second part. Convergence results for accelerated gradient descent methods for nonsmooth problems will be analyzed in the third part of the course. The lecture is accompanied by weekly tutorials which will involve both, practical and theoretical exercises.
Lectures "Numerik I, II" or lecture "Basics in Applied Mathematics"
Elective (Option Area) (2HfB21)
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Applied Mathematics (MSc14)
Mathematics (MSc14)
Concentration Module (MSc14)
Elective (MSc14)
Elective in Data (MScData24)
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: Mi, 14-16h, HS Weismann-Haus, Albertstr. 21a
Tutorial: 2 hours, every other week, various dates
Teacher: Sören Bartels
Assistant: Tatjana Schreiber
Language: in German
Numerics is a sub-discipline of mathematics that deals with the practical solution of mathematical problems. As a rule, problems are not solved exactly but approximately, for which a sensible compromise between accuracy and computational effort must be found. The first part of the two-semester course focuses on questions of linear algebra such as solving linear systems of equations and determining the eigenvalues of a matrix. Attendance at the accompanying practical exercises ({\em Praktische Übung zur Numerik}) is recommended. These take place every 14 days, alternating with the lecture's tutorial.
Required: Linear Algebra~I \ Recommended: Linear Algebra~II and Analysis~I (required for Numerics~II)
Numerics (BSc21)
Numerics (2HfB21, MEH21)
Numerics I (MEB21)
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)
Theory and Numerics for Partial Differential Equations – Nonlinear Problems
Teacher: Sören Bartels, Patrick Dondl
Language: in English
The lecture addresses the development and analysis of numerical methods for the approximation of certain nonlinear partial differential equations. The considered model problems include harmonic maps into spheres, total-variation regularized minimization problems, and nonlinear bending models. For each of the problems, a suitable finite element discretization is devised, its convergence is analyzed and iterative solution procedures are developed. The lecture is complemented by theoretical and practical lab tutorials in which the results are deepened and experimentally tested.
Required: Introduction to Theory and Numerics for PDEs or Introduction to PDEs
Elective (Option Area) (2HfB21)
Compulsory Elective in Mathematics (BSc21)
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)
Computer exercises in Numerics
Teacher: Sören Bartels
Assistant: Tatjana Schreiber
Language: in German
In the computer tutorial accompanying the Numerics (first term) lecture the algorithms developed and analyzed in the lecture are put into practice and and tested experimentally. The implementation is carried out in the programming languages Matlab, C++ and Python. Elementary programming knowledge is assumed.
See the lecture {\em Numerics I} (which should be attended in parallel or should already have been completed). \ Additionally: Elementary programming knowledge.
Computer Exercise (2HfB21, MEH21, MEB21)
Elective (Option Area) (2HfB21)
Numerics (BSc21)
Supplementary Module in Mathematics (MEd18)
Machine-Learning Methods in the Approximation of PDEs
Teacher: Sören Bartels
Assistant: Tatjana Schreiber
Language: Talk/participation possible in German and English
Machine-learning methods have recently been used to approximate solutions of partial differential equations. While in some cases they lead to advantages over classical approaches, their general superiority is widely open. In the seminar we will review the main concepts and recent developments.
Introduction to Theory and Numerics for PDEs
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)
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)
Teacher: Sören Bartels
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels, Patrick Dondl, Michael Růžička, Diyora Salimova
Lecture: Mi, 14-16h, HS Rundbau, Albertstr. 21
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: ,
Teacher: Sören Bartels, Steve Wolff-Vorbeck
Assistant: Oliver Suchan
general:
Computer Exercise (2HfB21, MEH21, MEB21)
Supplementary Module in Mathematics (MEd18)
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels, Michael Růžička, Diyora Salimova
Lecture: Mo, 16-18h, Raum und Gebäude noch nicht bekannt, -, Mi, 16-18h, HS Rundbau, Albertstr. 21
Teacher: Sören Bartels
Assistant: Vera Jackisch
Di, 16-18h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels
Assistant: Jakob Rotter
Undergraduate Seminar (2HfB21, BSc21, MEH21, MEB21)
Teacher: Patrick Dondl, Sören Bartels
Assistant: Vera Jackisch, Guofang Wang
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels, Patrick Dondl, Michael Růžička
Lecture: Mi, 14-16h, HS Rundbau, Albertstr. 21
04.08., 10:00-14:00
Sit-in exam (resit) 22.10., 00:00-00:00
Teacher: Sören Bartels
Assistant: Guofang Wang
general: ,
Teacher: Sören Bartels
Assistant: Guofang Wang
general:
Computer Exercise (2HfB21, MEH21, MEB21)
Supplementary Module in Mathematics (MEd18)
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)
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels, Patrick Dondl
Teacher: Sören Bartels, Patrick Dondl
Assistant: Steve Wolff-Vorbeck
Teacher: Sören Bartels
Assistant: Jacob Keck
general: ,
Numerics (2HfB21, MEH21)
Numerics I (MEB21)
Teacher: Michael Růžička, Sören Bartels
Assistant: Vera Jackisch
general:
Compulsory Elective in Mathematics (BSc21)
Mathematical Concentration (MEd18, MEH21)
Lecture: Mi, Mo, 10-12h, SR 127, Ernst-Zermelo-Str. 1
Teacher: Sören Bartels, Michael Růžička
Assistant: Alex Kaltenbach
general:
Compulsory Elective in Mathematics (BSc21)
Teacher: Michael Růžička, Sören Bartels
Assistant: Hedwig Keller, Vera Jackisch
Supplementary Module in Mathematics (MEd18)
Teacher: Sören Bartels
Assistant: Coffi Aristide Hounkpe, Jacob Keck
general:
Supplementary Module in Mathematics (MEd18)
Computer Exercise (2HfB21, MEH21, MEB21)
Teacher: Sören Bartels, Michael Růžička
Assistant: Christian Palus, Philipp Tscherner
Teacher: Sören Bartels, Patrick Dondl
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Patrick Dondl, Sören Bartels, Michael Růžička
Teacher: Sören Bartels
Assistant: Jacob Keck, Janick Gerstenberger
general:
Supplementary Module in Mathematics (MEd18)
Compulsory Elective in Mathematics (BSc21)
Teacher: Sören Bartels
Assistant: Jacob Keck, Janick Gerstenberger
general:
Mo, 14-16h, , online
Teacher: Sören Bartels
Assistant: Ludwig Striet, Vera Jakisch
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Di, 14-16h, bbb-Raum "Anderssen", online
Teacher: Sören Bartels, Patrick Dondl, Michael Růžička
Teacher: Sören Bartels, Patrick Dondl
Assistant: Jakob Rotter
Teacher: Sören Bartels
Assistant: Pascal Weyer, Hedwig Keller
general:
Mathematical Concentration (MEd18, MEH21)
Compulsory Elective in Mathematics (BSc21)
Di, 16-18h, bbb-Raum "Topalov", online
Teacher: Sören Bartels
Assistant: Pascal Weyer, Hedwig Keller
Supplementary Module in Mathematics (MEd18)
Mo, 14-16h, bbb-Raum "Sprechstunde Prof. Bartels", online
Teacher: Sören Bartels
Assistant: Jacob Keck, Philipp Tscherner, Jakob Rotter
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Teacher: Sören Bartels, Patrick Dondl
Di, 14-16h, bbb-Raum "Lasker", online
Teacher: Sören Bartels, Patrick Dondl, Michael Růžička
Lecture: Mi, 14-16h, HS Rundbau, Albertstr. 21
04.08., 10:00-14:00
Sit-in exam (resit) 22.10., 00:00-00:00
Teacher: Sören Bartels
Assistant: Frank Meyer, Philipp Tscherner
Lecture: Mi, 16-18h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels
Assistant: Jacob Keck, Pascal Weyer
general:
Supplementary Module in Mathematics (MEd18)
Compulsory Elective in Mathematics (BSc21)
Teacher: Sören Bartels
Assistant: Jacob Keck, Pascal Weyer
general:
Teacher: Sören Bartels
Assistant: Philipp Tscherner, Frank Meyer
general:
Supplementary Module in Mathematics (MEd18)
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels, Patrick Dondl, Michael Růžička
Mo, 16-18h, SR 226, Hermann-Herder-Str. 10
Teacher: Patrick Dondl, Sören Bartels
Lecture: Mo, Mi, 10-12h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels
Assistant: Christian Palus
general:
Compulsory Elective in Mathematics (BSc21)
Do, 12-14h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels
Assistant: Christian Palus
Mo, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels
Assistant: Jacob Keck
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Mo, 16-18h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels, Patrick Dondl, Dietmar Kröner, Michael Růžička
Teacher: Sören Bartels, Jacob Keck
Lecture: Mo, Mi, 12-14h, HS II, Albertstr. 23b
14.02., 10:00-12:00
Sit-in exam (resit) 27.04., 00:00-00:00
Teacher: Sören Bartels
Assistant: Christian Palus
general: ,
Compulsory Elective in Mathematics (BSc21)
Mathematical Concentration (MEd18, MEH21)
Lecture: Mo, Mi, 10-12h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels
Assistant: A. Papathanassopoulos
general:
Compulsory Elective in Mathematics (BSc21)
Do, 16-18h, PC-Pool Raum 201, Hermann-Herder-Str. 10
Teacher: Sören Bartels
Assistant: Christian Palus
general: ,
Supplementary Module in Mathematics (MEd18)
Mo, 14-16h, PC-Pool Raum 201, Hermann-Herder-Str. 10
Teacher: Sören Bartels
Assistant: A. Papathanassopoulos, Jacob Keck
general:
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels, Patrick Dondl, Michael Růžička
Mo, 16-18h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels
Assistant: Jacob Keck