HGS MathComp Curriculum
| 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 Newtons 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 | ||||
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| 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 | |

