Heidelberg Graduate School HGS MathComp

HGS MathComp Curriculum

WS 08/09SS 09WS 09/10SS 10WS 10/11SS 11WS 11/12SS 12WS 12/13SS 13

Core Courses
Compact Courses
info  Optimization and Inference with Probabilistic Graphical Models Christoph Schnörr duration: 1 week; time and date: tba ECTS-Points: 5
Time: 7:00 Location: tba
ECTS-Points: 5
info  Mathematical Solid-State Electrochemistry for Energy Storage and Conversion various July 5th-7th 2010; 09:00-13:00 ECTS-Points: 2
Abstract: Electrochemical devices are essential in today_s society. For example Li-ion batteries can enable hybrid and plug-in hybrid electric vehicles and provide back-up for wind and solar energy, Solid Oxide Fuel Cells have unmatched efficiency direct conversion of chemical energy into electric energy. In addition to that these technologies are believed to be key for the development of the future sustainable economy.

The short-course + workshop aims at providing an introduction to solid state ionics to students, post-docs and researchers from scientific disciplines, such as mathematics, chemistry, physics and engineering.
The focus of the course is to overview the basic physico-chemical principles needed for modeling electrochemical processes and devices and to familiarize the audience with the jargon typically found in the solid state ionics literature.

Several application examples drawn from the areas of expertise of the lecturers, i.e., fuel cells, batteries, and solar fuel production, will be discussed.
Instruction is complemented by afternoon computer tutorials.

A 1-day workshop will complete the course.

Instruction: by Dr. Ciucci (HGs), Prof. Wei Lai (Michigan State), Dr. W.C. Chueh (Caltech & Sandia).
Time: 9:00 Location: IWR, INF 368, Room 432
ECTS-Points: 2
info  Software Engineering and Scientific Computing Prof. Dr. Barbara Paech July 19th- 21st 2010, 09:00-16:00 ECTS-Points: 2
Abstract: What is Software Engineering and how can it help me in developing better software? Software has become a solid part of research in many areas like physics, biology or medicine. It is used to simulate real world situations that are often too big or too small to be handles any other way. Error in Software can have an impact on research findings and at the end get very expensive. Researchers developing software for their own use would like to spend less time coding and concentrate on their research instead. They want to be able to trust the results the software is delivering.

Software Engineering is a profession and field of study dedicated to designing, implementing, and modifying software so that it is of higher quality, more affordable, maintainable, and faster to build (wikipedia). In this course you will learn about some essential Software Engineering principles and techniques. We will take a look at the different phases in a software development process (design, implementation, testing,…). You will learn to know the 10 software engineering practices (Version management, Issue Tracking,…) every scientific software project should use.

In the practical exercises we will take a look at some freeware Tools available to accomplish the benefits we have learned about in the lectures.

Location:
Monday July 19th and Tuesday July 20th 9am - 12 pm lecture in INF 368, room 432
Wednesday July 21th 9am - 12 pm lecture in INF 348, room 013 (please note that it_s a different building)
The exercises are always held 1pm - 4pm in OMZ, INF 350, room U011 (Cip-Pool).
Link for more information
Time: 9:00 Location: INF 368, Room 432; OMZ, INF 350, Room U011
ECTS-Points: 2
info  State-Space System Identification various July 22nd and 23rd 2010 (09:00-17:00; 09:00-15:30) ECTS-Points: 2
Abstract: This short course consists of two lecture series. Lecture series A provides
the fundamentals of state-space system identification to create mathematical
models from input-output measurements. In lecture series B numerical methods
for offline and online state and parameter estimation in systems of nonlinear
differential equations are presented.

The first part of lecture series A explains key linear state-space system
theory elements such as continuous and discrete-time state-space models, the
Markov parameters, observability, state estimation, various input-output
models, the Eigensystem Realization Algorithm (ERA), and the Observer/Kalman
filter Identification (OKID) method, and how these methods handle process and
measurement noises.

The second part of lecture series A deals with applications of state-space
system identification to High Performance Computing models, nonlinear system
identification with bilinear models, and identification by minimizing output
error.

Lecture series B introduces the Multiple Shooting method and the Gauss-Newton
Method for state and parameter identification in systems of nonlinear
differential equations. The Moving Horizon Estimator is presented as a
powerful method for online state and parameter estimation. Finally,
techniques for online optimal experimental design are introduced, where
incoming measurement data of a running experiment are used to plan the
remaining experiment such that the unknown parameters are determined with
minimum variances.

This short course is intended to be introductory, yet insights into these
concepts and techniques are provided whenever possible for research purpose.
No advanced knowledge on the subject is assumed.


Lectures given by:

Prof. Dr. Jer-Nan Juang
National Cheng Kung University, Taiwan

Prof. Dr. Richard Longman
Columbia University, New York

Prof. Dr. Minh Q. Phan
Dartmouth, New Hampshire

Dr. Stefan Körkel,
IWR, Universität Heidelberg

Simon Lenz
HGS MathComp
Universität Heidelberg

Leonard Wirsching
HGS MathComp
Universität Heidelberg
Abstract (PDF)
Link for more information
Time: 9:00 Location: IWR, INF 368, Room 432
ECTS-Points: 2
info  Network analysis - a universal tool for understanding physical, biological, and social networks Dr. Katharina Zweig, Dr. Sudarshan Iyengar July 26th-28th; July 29th-30th 2010 ECTS-Points: 4
Abstract: In the last few years, a new interest in the understanding of networks has arisen, based on the surprising finding of some universal structures in very different networks: cooperation networks, metabolic, genetic, and protein-protein-interaction networks, electrical and neural networks, or acquaintance networks.
This course introduces the basic terminology and highlights some of the tools, methods, and measures with which networks can be characterized and analyzed. Important measures to characterize networks are, e. g., various centrality indices, the number and structure of significantly overrepresented subgraphs, or the distribution of cluster sizes. Based on these methods and measures, universal network structures and the network models that describe them will be discussed. Additionally, the behavior of some exemplary processes (disease spreading, cascading failures, robustness, etc.) in dependency of the structure will be discussed.
The course will help to understand how to characterize, describe, and model networks from all disciplines, ranging from graphical models as used in computer vision to biological or social networks.

This course is interdisciplinary and does not assume mathematical background. Thus, it is especially suitable for all students with a non-mathematical background. For those of the students with a deep interest in the mathematics behind network analysis, additional material will be available and can be discussed in detail.

<b>Remark:</b> The Course will be divided in two parts. Part 1 (26th-28th) will be held by K.Zweig; Part 2 (29th-30th) will be held by S.Iyengar and consist of an introduction on the topics of centrality indices and clustering algorithms.
Link for more information
Time: 9:00 Location: IWR/HCI, Speyerer Straße 6, 69115 Heidelberg
ECTS-Points: 4
info  deal.II Compact Course Thomas Wick, Baerbel Janssen July 26th to July 30th ECTS-Points: 4
Abstract: Contents:
Introduction to the finite element software library deal.II

Requirements
Knowledge in C/C++. This compact course is based on the open-source software package deal.II. Participants should have basic knowledge in classes, pointers, references, templates.

Script:
Scripts for "C" and "C++" for self-study.
Helmut Erlenkötter, "C++ Objektorientiertes Programmieren von Anfang an", rororo, ISBN 3-499-60077-3

Target audience:
Students in the following fields: mathematics, physics, computer sciences with focus on
numerical analysis as well as all doctoral-)students who are interested in numerical solutions of PDEs.

Registration:
Please, write an e-mail to Bärbel Janssen baerbel.janssen@iwr.uni-heidelberg.de
Time: 9:00 Location: tba
ECTS-Points: 4
info  Statistical Image and Multidimensional Modeling Prof. Paul Fieguth April 13th-16th, 2010; 09:00-17:00 ECTS-Points: 4
Abstract: Images are all around us! Inexpensive digital cameras, video cameras, computer web-cams, satellite imagery, images off the Internet give us access to vast numbers of spatial imagery of various sorts. The vast majority of these images will be of scenes at human scales, pictures of animals / houses / people / faces, for which countless algorithms have been developed to process / compress / segment such images, described in innumerable textbooks on image processing.

Somewhat less common, but of great research interest, are images which do allow some sort of mathematical characterization, and to which standard image-processing algorithms may not apply. In most cases we do not necessarily have images here, per se, rather spatial data sets, with one or more measurements taken over a two or higher dimensional space.

Although a great deal of research has been applied to scientific images, in most cases the resulting methods are not well-documented in common textbooks, such that many students and researchers will be unfamiliar with techniques in inverse problems, posterior sampling, and random fields.

The goal of this short course is to address methods for solving multidimensional statistical inverse problems. An outline will be provided at the start of the course.
Abstract (PDF)
Link for more information
Time: 9:00 Location: HCI, seminar room, Speyerer Strasse 6, 69115 Heidelberg
ECTS-Points: 4
Software Training
info  DUNE Course Prof. P. Bastian / various March 15th-19th 2010 ECTS-Points: 3
Abstract (PDF)
Link for more information
Time: 7:00 Location: OMZ, rooms U011, U012 and U014
ECTS-Points: 3
info  A primer for CHEBFUN Prof. Lloyd N. Trefethen Tuesday, May 18th, 2010; 11:00-13:00 ECTS-Points: 0
Abstract: <div align=\"center\">
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Based on the material presented in the Courant Lecture, Prof. Trefethen will give a short intorduction into the CHEBFUN concepts using a Matlab implementation.
Link for more information
Time: 11:00 Location: OMZ, INF 350, Room U011
ECTS-Points: 0
Key Competence Courses
info  Grant Writing Frau Dr. Schütte June 15th & June 16th 2010; 09:00-17:00 ECTS-Points: 2
Abstract: Depending on the target audience, the focus will be either on fellowship applications or on project grants. The basic structure of grant applications will be presented and parts of grant applications will be prepared and discussed (grant abstract, work plan). Participants are introduced to different strategies for the successful presentation of their projects. Special focus is put on the expectations of reviewers and on typical mistakes. In the two day course format, participants will evaluate the texts prepared within the group and a sample grant application, thus gaining important insights into the reviewer point of view.

Participants will:
- learn strategies for writing successful grant applications
- get introduced to general writing techniques
- write (and evaluate, 2 day course) part of a grant application
- be introduced to the funding opportunities and special conditions of various funding bodies (i.e. BMBF, DFG, EU)
- learn evaluation procedures and evaluate the texts produced in the group and a sample application (2 day course)
Link for more information
Time: 9:00 Location: IWR, Room 532
ECTS-Points: 2
info  Team Work in Research projects Dr. Ute Leidig & Dr. Sita Schanne June 17th & June 18th 2010; 09:00-17:00 ECTS-Points: 2
Abstract: Effective teamwork is essential for the success of many research projects. Participants of this course will enhance their competencies of working in a team by learning about basic principles of team work as well as influencing team action.
This two-day course focuses on the following topics:

* Understanding the aspects of effective team work
* Defining individual preferences and roles within a team
* Reflecting your influence as a singular team member on the team
* Identifying and establishing norms and rules of team work
* Recognizing and preventing conflicts in the team
* Working towards a constructive resolution of conflicts
The workshop aims at enabling participants to further develop their team and communication skills. For this reason, the course work comprises of several aspects: short inputs on various topics, individual reflection of personal experiences, trying out news ways of behaviour (e.g. in role plays), feedback from the trainer and the participants.
Link for more information
Time: 9:00 Location: Seminar Room, Dept. for Key Competences, Bergheimer Strasse 20
ECTS-Points: 2

Workshops & Schools
Workshops
info  Archeologising Heritage? Global Virtual Reality vs. Local Social Practice various May 2rd to 4th 2010; 09:00-17:00 (Sun: 17:00-20:00) ECTS-Points: 0
Link for more information Time: 9:15 Location: Karls Jaspers Center, Voßstrasse 2, 69115 Heidelberg
ECTS-Points: 0
info  Optimal Control in Image Processing various May 31st - June 2nd, 2010, 09:00-17:00 ECTS-Points: 0
Link for more information Time: 9:00 Location: IWR, INF 368, Room 432
ECTS-Points: 0
info  Mathematical Solid-State Electrochemistry for Energy Storage and Conversion various July 8th 2010; 09:00-17:00 ECTS-Points: 0
Abstract: The workshop brings together several experts in the field of solid-state electro-chemistry for applications in energy storage and conversion:

Prof. W. Lai (Michigan State)
Dr. W.C. Chueh (Caltech and Sandia National Lab)
Dr. G. Gregori (Max Planck Institute Stuttgart)
Dr. A. Leonide (Karlsruhe Institute of Technology)
Time: 9:00 Location: IWR, INF 368, Room 432
ECTS-Points: 0
info  Recent and Future Development with and of deal.II Timo Heister, Bärbel Janssen, Martin Kronbichler, Thomas Wick Aug 23th - Aug 25th 2010 ECTS-Points: 2
Abstract: Talks and discussions by users as well as developers in the following areas:

- application areas of the library
- what users think would be useful directions for the library to go into, what things are missing, and possibly getting people together who can help implement those parts
- newer parts of the library (e.g. hp, multithreading,
optimization, etc) and how these could help in your programs.
Link for more information
Time: 9:00 Location: IWR (INF 368), Room 432
ECTS-Points: 2
info  SPRAY 2010 various May 3rd to 5th 2010 ECTS-Points: 0
Abstract: 9. Workshop über Sprays, Techniken der Fluidzerstäubung und Untersuchungen von Sprühvorgängen
Link for more information
Time: 13:00 Location: Schmitthennerhaus, Heiliggeiststr. 17, 69117 Heidelberg
ECTS-Points: 0
info  Pioneering Project \"Image Processing and Modelling\" various May 31 - June 2, 2010 ECTS-Points: 0
Abstract: International Workshop on Optimal Control in Image Processing



The aim of this workshop is to present the current state of the art of research as well as to discuss current research interests. Through these discussions, novel impulses can be generated to tackle problems and shortcomings of the methodologies as well as to identify needs within
the application areas. Invited scientists are leading experts in the fields of optimal control theory, numerics, image processing and environmental sciences. This workshop will thus try to bridge the gap between methodologies and application areas.
Link for more information
Time: 7:00 Location: IWR, INF 368
ECTS-Points: 0
info  Monte Carlo Methods in Biotechnology Prof. Dr. Dieter W. Heermann July 2nd ECTS-Points: 0
Time: 7:00 Location: tba
ECTS-Points: 0
info  GPGPU Workshop various Thursday, March 25th, 2010; 14:00-18:30 ECTS-Points: 0
Link for more information Time: 14:00 Location: Research & Advisory, Deutsche Börse Systems AG, Neue Börsenstraße 1, 60487 Frankfurt / Main
ECTS-Points: 0

Further Studies
Lectures
info  Physics of Imaging Bernd Jähne Summer Term: Mondays, 14:00-18:00 ECTS-Points: 6
Time: 14:00 Location: OMZ, INF 350, Room U014
ECTS-Points: 6
info  Mathematical Modelling of Multiscale Systems and Scaling Limits Dr. Maria Neuss-Radu Tuesdays, 11:00-13:00 ECTS-Points: 3
Abstract: In der Vorlesung werden wir Techniken kennen lernen die bei
der Untersuchung von Mehrskalensystemen eingesetzt werden, wie z.
B.: Zwei-Skalen asymptotische Entwicklung, Homogenisierung, Zwei-
Skalen Konvergenz. Diese Methoden erlauben uns ausgehend von
Beschreibungen der Prozesse auf mikroskopischer Skala, effektive
Modelle herzuleiten. Solche Methoden sind sehr wichtig für
Anwendungen aus Umweltphysik, Biologie, Materialwissenschaften u.a.
In der Vorlesung werden wir die erlernten Methoden an konkreten
Beispielen anwenden.
Time: 11:00 Location: INF 294, HS 134
ECTS-Points: 3
info  Scientific Workflow Management Prof. Bertram Ludäscher 24 lectures/practicals (starting May 12th 2010) ECTS-Points: 4
Abstract: Scienti&#64257;c work&#64258;ows are executable descriptions of automatable scienti&#64257;c processes
ranging from standalone desktop data analyses to complex monitoring and control work&#64258;ows that
orchestrate large-scale computational science simulations on parallel compute clusters. Scienti&#64257;c
work&#64258;ows are often expressed in terms of tasks and their (data&#64258;ow) dependencies. This course
provides an introduction and overview of scienti&#64257;c work&#64258;ow management, ranging from underlying
foundations (e.g. data&#64258;ow computation models), to modeling, design, and optimization techniques,
and novel features such as data lineage and provenance support to validate and interpret work-
&#64258;ow runs. The course includes practical examples and hands-on exercises from a different science
domains and disciplines such as bioinformatics (phylogenetics, metagenomics), ecoinformatics (eco-
logical niche modeling), and plasma fusion simulation, and is aimed at both practitioners, i.e.,
computational scientists, bioinformaticians, etc. who would like to learn more about new (and possibly
different) ways to think about their workflow automation tasks, and at computer scientists who are
looking for application-oriented research problems that can make a difference for their colleagues in
the natural sciences.
For further information, please come to the first event on Friday May 14th or send email
to ludaesch@ucdavis.edu with subject "Scientific Workflow Course".
Link for more information
Time: 14:00 Location: IWR, INF 368, Room 248
ECTS-Points: 4
info  Object-Oriented Programming in Scientific Computing Dr. Olaf Ippisch Summer term: Tuesday 14:00-16:00 (weekly) ECTS-Points: 6
Abstract: The lecture will be held in German. It also includes a practical session.
Time: 14:00 Location: IWR, INF 368, Raum 248
ECTS-Points: 6
Seminars
info  Mathematics in the Sciences Angela Stevens tba ECTS-Points: 3
Time: 9:15 Location: tba
ECTS-Points: 3
info  Biomechanische Modellierung (in German) Prof. Katja Mombaur, Martin Felis July 28th & 29th 2010; 09:00-17:00 ECTS-Points: 2
Abstract: Neben klassischen Experimenten wird die mathematische Modellierung ein immer wichtigerer Bestandteil biomechanischer Forschungen. Das Seminar beschäftigt sich insbesondere mit der Biomechanik des menschlichen Bewegungsapparates. Themen, die anhand aktueller Literatur erarbeitet werden, sind u. a. Muskelmodelle, Mehrkörpermodelle und charakteristische Größen der menschlichen Fortbewegung, sowie Modelle des Energieverbrauchs. Das Seminar ist eine ideale Vorbereitung für Diplom- und Doktorarbeiten im Wissenschaftlichen Rechnen mit biomechanischen Anwendungen.

Weitere Informationen unter kmombaur@uni-hd.de
Abstract (PDF)
Time: 9:00 Location: IWR, INF 368, Room 432
ECTS-Points: 2
info  Multiconfigurational Time-Dependent Hartree Methods: Past, Present, and Prospects Prof. Ofir E. Alon July 19th, 2010; 14:15 ECTS-Points: 0
Abstract: The multiconfigurational time-dependent Hartree (MCTDH) method
is considered at present the most efficient wave-packet
propagation approach for systems of distinguishable
degrees-of-freedom, like molecular vibrations, etc. It was
invented in Heidelberg 20 years ago by H. D. Meyer, U. Manthe,
and L. S. Cederbaum, and has since led to a mirage of exciting
scientific advancements in "Quantum Dynamics". In recent years,
there have been ongoing scientific activities to extend the
MCTDH method to be applicable and efficient for physical
systems made of indistinguishable particles. For systems made
of electrons (fermions) the MCTDH for fermions (MCTDHF) was
developed whereas to describe the quantum dynamics of
interacting cold atoms (bosons) the MCTDH for bosons (MCTDHB)
was developed. These have opened the door to an intricate,
reliable, and accurate many-body non-equilibrium physics of
interacting particles beyond the classical text-book models of
the Hartree-Fock approximation for fermions and
Gross-Pitaevskii equation for bosons.

In my extended seminar at the HGS/MathComp I will open with a
general, unified description of multiconfigurational
time-dependent Hartree methods for systems of identical
particles and mixtures thereof, and elaborate on the utilization
of field operators, reduced-density matrices, and the
time-dependent variational principle to derive a compact and
efficient-to-work-with set of the equations of motion.

In the next part I will review some of the exciting applications
and breakthroughs achieved with MCTDHB in the prediction of
many-body phenomena of Bose-Einstein condensates. The concept of
condensate fragmentation will be defined and shown to dominate
the physics of Bose-Einstein condensates in many physical
scenarios, previously thought not to involve fragmentation at
all.

What lies ahead of us in the deciphering and description of
non-equilibrium dynamics of complex many-body quantum systems?

All quantum systems we have dealt with so far in my talk -- and
for which multiconfigurational time-dependent Hartree methods
have been developed and implemented -- assume the number of
particles (molecular vibrations, electrons, or cold atoms) in
the system to be conserved. However, there are many quantum
systems in which particles_ conversion, i.e., the
"transformation" of particles of one kind to another, governs
the basic behavior of the physical system under investigation.
These include "chemical reactions", transitions between
hyperfine states in ultracold atoms, and association and
dissociation of electrons to Cooper-pairs in solid-state
targets. Using the theoretical tools presented above I will
present the extension of the standard, particle-conserving
multiconfigurational time-dependent methods to systems with
particles_ conversion. I will conclude my seminar with a
discussion of prospects and future plans along the
"multiconfigurational time-dependent way" to researching the
quantum dynamics around us.
Time: 14:15 Location: TC, PCI, INF 229, 1st floor, Room 108/110
ECTS-Points: 0
info  Advances in Molecular Simulation Petra Imhof Tuesdays; 11:00-13:00 ECTS-Points: 3
Time: 11:00 Location: IWR, INF 368, Room 248
ECTS-Points: 3