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  Modeling the free-surface boundary layer and gas exchange processes Dr. Li-Ping Hung 14.11.2011 - 16.11.2011 09:00-12:00 ECTS-Points: 3
Abstract: Abstract:
The complex behavior of turbulence which involves the mixture of the wide range of length and time
scales is the consequence of a fairly simple set of equations – Navier-Stokes equations. However,
analytical solutions to even the simplest turbulent flows do not exist. A complete description of
turbulent flow can only be obtained by numerically solving Navier-Stokes equations. Instead of
solving the statistical evolution of the flow, or including the parameterization of small-scale
turbulence, direct numerical simulation (DNS) aims to resolve the instantaneous flow field. In the
first part of this lecture, we review some contribution of DNS to the turbulence research.
It is well-known that gas exchange across air-sea interface is dominated by the turbulent boundary
layer in the water side. To understand the turbulent behavior in this boundary layer, except to solve
the Navier-Stokes equations, the statistics-based, conceptual model, e.g. surface-renewal model,
random-eddy model, etc. and the hydrodynamics-based model, e.g. large-eddy model, small-eddy
model etc. have been accepted to describe the transfer processes across air-sea interface. In the
second part of the lecture, we briefly introduce these models and their application.
Contents:
1. Numerical solution for a three-dimensional, unsteady, incompressible free-surface flow
1.1 Unsteady boundary: a free-surface
1.2 Combined scheme of pseudo-spectral method and finite-different method
1.3 Modified Newton’s method for pressure Poisson equation
1.4 General comments for direct numerical simulation
2. Transport model of mass exchange across air-water surface
2.1 Free-surface turbulence
2.2 Conceptual models
2.3 Hydrodynamics-based models
2.4 Applications of the transport models


Reference:
1. Moin, P. and K. Mahesh (1998), Direct numerical simulation: A tool in turbulence research.
Annu. Rev. Fluid Mech., 30, 539-578.
2. Jähne, B. and H. Haußecker (1998), Air-water gas exchange. Annu. Rev. Fluid Mech., 30, 443-
468.
Time: 9:00 Location: 1. INF325 Room Nr. 23, 1st floor. 2. INF327 Room Nr. 6, Ground floor. 3. INF325 Room Nr. 23, 1st floor
ECTS-Points: 3
info  Reactive Flows: Applications Prof. Dr. E. Gutheil, P.D. Dr. N. Dahmen Thursday Nov 24, 2011, 09.00 -17.00 ECTS-Points: 1
Abstract (PDF)
Time: 9:00 Location: INF 368 R. 248
ECTS-Points: 1
info  Computational statistics G. Sawitzki Dec 15th, 2011; Jan 12th & Feb 2nd, 2012; 14:00 ECTS-Points: 2
Abstract: This course targets at students who have a first understanding of working with the R software (see web page for prerequisites -- I assess that they can be obtained by home study). In three sessions specific topics are tackled. We will put the course into the curriculum as well.
Link for more information
Time: 14:00 Location: INF 294, R. 134
ECTS-Points: 2
info  Computational Imaging Prof. Dr. Bernd Jähne Febr. 7 - 10, 2012 ECTS-Points: 3
Abstract: Topics:

- why computational image? Limitations of tradiational imaging techniques
- Light fields, plenoptic function, radiation transport
- optical properties of surfaces: bidirectional reflection distribution function (BRDF)
- volumetric optical properties: absorption and scattering
- light fields and wave optics: Wigner distribution function
- Standard image acquisition techniques as sparse sampling of light fields
- light field simulation
- capturing of light fields
- camera arrays
- plenoptic cameras
- MTF engineering, extended depth of field
- depth edge detection by multiflash imaging
- spatially modulated light fields
- coded exposure cameras
- time-of-flight imaging
- super resolution
Time: 10:15 Location: HCI, Speyerer Str. 6, SR 2.22
ECTS-Points: 3
info  Spatial statistics, in particular Gaussian processes Prof. Peter Guttorp Feb 27th - Mar 2nd 2012; 09:00-16:30 ECTS-Points: 3
Link for more information Time: 9:00 Location: tba.
ECTS-Points: 3
info  Mechanism of pattern formation in multicellar systems. Dr. Anna Marciniak-Czochra, Dr. Mihaela Zigman Dec 5th-9th 2011, 09:00-12:00 & 14:00-17:00 ECTS-Points: 4
Time: 9:00 Location: IWR, Room 532
ECTS-Points: 4
Software Training
info  Introduction to R Dr. Günther Sawitzki Feb 6th - 10th, 2011; 10:00-17:00 ECTS-Points: 3
Abstract: This course is offered by the Statlab, heidelberg University

Topics covered:
* Basics of R programming
* Linear Models
* Diagnostics and tests for univariate distributions
* Empirical distribution functions and related statistics
* Residual analysis and regression diagnostics
* distribution-independent methods
* Permutation and resampling methods
* Multivariate problems
* Graphics for multivariate methods and simulations
Link for more information
Time: 10:00 Location: IAM, INF 294, R. 134
ECTS-Points: 3
Key Competence Courses
info  Project Management Tailored for Doctoral Thesis Dr. Karen Dittmann Oct 19th & 20th, Dec 8th 2011 ECTS-Points: 2
Abstract: Working as a PhD student you have the challenging task of developing research findings and write you doctoral thesis within three years. This alone is a demanding job. In addition, it is vital to the scientific process that your findings are presented to the scientific community. For most PhD students this is the first big project in their professional life and it could have a crucial impact on their future professional career. PhD students are highly motivated when they start their PhD studies but may underestimate the need for professional management for this three-year project \"doctoral thesis\".

This seminar demonstrates how to approach the doctoral thesis in a professional way. Project management tools and techniques are used, tailored to the specific situation of PhD students. You will learn how to set a project vision, define clear objectives, gain buy-in from your supervisor and other colleagues in your group, and how to develop a project plan, which is structured and at the same time flexible enough to easily adjust to unexpected findings. You will establish a \"controlling cycle\" which helps you to recognise risks and problems as early as possible, and you will learn how to manage critical situations and deal with ups and downs. Furthermore, networking with colleagues, supervisors and other people is an important topic of this seminar.

Throughout the seminar, you will work on your own doctoral thesis and share your experience with others. This seminar is most beneficial for PhD students who are in the early phases of their doctoral thesis. At the end of the seminar you will have established a strategy on how to approach your own doctoral thesis. During the follow-up REVIEW we will share experience and best practices and deal with open questions from the first module.

This seminar will help you to make the most effective use of your three years and finish your doctoral thesis on time. You will also learn and practise the basic concepts of project management - which are required in industry and research institutions.
Link for more information
Time: 9:00 Location: INF 368 R. 520
ECTS-Points: 2
info  Assessment Center Training (in German) Michael Müller, Maximilian Scheidt Dezember 14,10:00-16:00 ECTS-Points: 1
Abstract: Teilnehmer erhalten wichtige Informationen zu verschiedenen Übungen, damit ein bevorstehendes Assessment Center (AC) für sie bedenkenlos und erfolgreich verläuft. Teilnehmer trainieren unter anderem Selbstpräsentation, Gruppendiskussion und andere relevante Aufgaben aus Gruppenauswahlverfahren. Darüberhinaus erhalten die teilnehmer Informationen zu den Erwartungen der Personalverantwortlichen. Weiter lernen sie, worauf besonders geachtet wird und wie Bewerber auftreten sollen. Die teilnehmer erhalten ein validiertes Feedback zu ihren rethorischen Präsentationen anhand einer Videoanalyse.


Please register here:

http://hgs.iwr.uni-heidelberg.de/Portfolio_HGS/VERANSTALTUNGEN/reg_form/reg_form.php?id=61
Time: 10:00 Location: IWR, INF 368, Room 520
ECTS-Points: 1

Workshops & Schools
Schools
info  Summer School on Flow and Transport in Terrestrial Systems K. Roth, O. Ippisch, H.-J. Vogel Oct. 2 - 7, 2011 ECTS-Points: 4
Abstract: Intention

This summer school provides a compact presentation of current concepts on flow and transport in the subsurface of terrestrial systems. Thematically, it encompasses the flow of groundwater and soil water, the transport of dissolved chemicals, and the coupling between soil and atmosphere. It covers the underlying physical processes, the multi-scale architecture of terrestrial systems, and the resulting macroscopic phenomena as well as their numerical simulation and methods for estimating effective representation.

The main goals of this summer school are:

1. thorough understanding of the natural processes and of the limitations of their model representations and
2. operational command of corresponding numerical simulation tools.

The course material includes comprehensive lecture notes as well as state-of-the-art numerical simulation tools.
Target Group
Advanced students and researchers active in the field of physical processes within the unsaturated zone and groundwater. Participants should be skilled in basic physics and maths.
Topics

1. Water flowing through aquifers and soils
2. Hierarchical structure of terrestrial systems
3. Transport of dissolved chemicals
4. Modelling and Simulation
5. Parametrisation and Parameter Estimation
6. Feedbacks between land and atmosphere
Link for more information
Time: 8:30 Location: tba
ECTS-Points: 4

Further Studies
Lectures
info  Computational Chemistry Prof. Dr. Andreas Dreuw Wednesdays, 16:00-17:30 ECTS-Points: 3
Time: 14:00 Location: INF 368 / IWR R 248
ECTS-Points: 3
info  Artificial Intelligence Prof. Dr. Björn Ommer Wednesday 11h - 13h ECTS-Points: 3
Time: 11:00 Location: HCI, Speyerer Str. 6, G2.09
ECTS-Points: 3
info  Mathematical methods in systems biology Prof. Dr. Anna Marciniak-Czochra Tuesdays 9 - 11 am, Wednesday 9-11 am ECTS-Points: 6
Abstract: The course and lecture introduces time-discrete and time-continous mathematical models in form of the difference equations and ordinary differential equations and presents their applications in biology. We provide mathematical methods to study dynamics of such models, existence and linear stability of the the steady states and qualitative analysis of time-dependent dynamics. For this purpose we introduce basic knowledge of complex numbers, systems of linear algebraic equations, matrices, their eigenvalues and eigenvectors; recursive methods, and ordinary differential equations. The theory is illustrated by examples from mathematical biology.

Objectives:
To provide a background in mathematical methods of difference equations and ordinary differential equations for mathematical modelling of biological systems
Time: 9:00 Location: Lecture SR 044 in BIOQUANT, Tutorial -103 in INF 294
ECTS-Points: 6
Practicals
info  Artificial Intelligence Prof. Dr. Björn Ommer Wednesday 14h - 16h ECTS-Points: 3
Time: 14:00 Location: HCI, Speyerer Str. 6, G2.09
ECTS-Points: 3
info  Advanced Robotics Pratical Prof. Dr. Katja Mombaur, Thomas Kloepfer Vorbesprechung: Oct. 12, 13.00 ECTS-Points: 6
Time: 13:00 Location: IWR, Raum 432
ECTS-Points: 6
info  Interated Nest Laplace Approximations: A tutorial Dr. Finn Lindgren and Prof. Ingelin Steinsland Nov 23rd-24thth, 2011; 09:00-16:30 ECTS-Points: 2
Abstract: The content of the tutorial will be based on the R-package INLA
(http://www.r-inla.org/), where INLA stands for integrated nested
Laplace approximation, and the theory related to that software. This
includes Bayesian inference for data where (some of) the parameters
can be described through Gaussian Markov Random Fields (GMRFs) and the
connection between GMRFs and stochastic partial differential
equations.

The INLA software is largely based on two papers published in the
Journal of the Royal Statistical Society, Series B:
http://www.math.ntnu.no/~hrue/r-inla.org/papers/inla-rss.pdf
http://onlinelibrary.wiley.com/doi/10.1111/j.1467-9868.2011.00777.x/full

In order to get the most out of the tutorial, the attendees should
bring their own laptop with R and INLA installed.
Link for more information
Time: 9:00 Location: HCI, Speyerer Strasse 6, seminar room
ECTS-Points: 2
Seminars
info  Modeling of Reactive Multiphase Flows Prof. Dr. Eva Gutheil Mondays, 09:15-10:45 ECTS-Points: 3
Time: 9:15 Location: INF 368 / IWR R 248
ECTS-Points: 3
info  Theoretical and Computational Chemistry Prof. Dr. Andreas Dreuw Wednesday 14h15-15h45 ECTS-Points: 3
Time: 14:15 Location: INF 368 / IWR R 248
ECTS-Points: 3
info  History of Integer Optimization Prof. G. Reinelt, S. Wiesberg Thursdays 14h- 16h ECTS-Points: 3
Abstract: Ganzzahlige und kombinatorische Optimierung ist ein relativ junges Gebiet. Die ersten grundlegenden Arbeiten stammen aus den 50er und 60er Jahren des vorigen Jahrhunderts. Danach hat sich das Gebiet, nicht zuletzt auch durch die enorme Leistungssteigerung der Computer, stürmisch weiterentwickeltund stellt heute wesentliche Methoden zur Modellierung und Lösung praktischer Probleme bereit.
In diesem Seminar soll anhand des Buches \"50 Years of Integer Programming 1958-2008: From the Early Years to the State-of-the-Art\" ein Teil der ersten bahnbrechenden Arbeiten vorgestellt und aus heutiger Sicht diskutiert werden.
Zur erfolgreichen Teilnahme am Seminar sind ein Vortrag und eine schriftliche Ausarbeitung erforderlich. Die Teilnahme wird mit 4 ECTS-Leistungspunkten bescheinigt. Die Veranstaltung richtet sich an Studierende in Mathematik oder Informatik. Notwendige Voraussetzung zur Teilnahme ist die erfolgreiche Absolvierung der Module \"Effiziente Algorithmen 1\" oder \"Effiziente Algorithmen 2\".
Time: 14:00 Location: INF 350, U013
ECTS-Points: 3