Heidelberg Graduate School HGS MathComp

Junior Research Groups

The transition between doctorate and scientific career is crucial for the success of training programs. Through the active participation of our junior research groups (JRG) in the education program of the graduate school and the strong links of the JRG leaders to the senior investigators this transition is well established in both teaching and research.

HGS MathComp hosts several JRG on topics which are central in the methodology of the graduate school as well as in latest research areas. Through collaboration with other institutions of Heidelberg University and the membership of young researchers from several different areas and faculties a strong web of talented newcomers inspires the projects conducted by our doctoral fellows.



Heidelberg Graduate School HGS MathComp

 

Research Projects

  • Calibration of Industrial Robots (together with ISIOS GmbH, Berlin)
  • Parameter Estimation and Experimental Design in Systems Biology (together with S. Bandara, Stanford University)
  • Viroquant: Parameter Estimation and Optimum Experimental Design for the Impact of HCV on the JAK/STAT Pathway
  • Diploma Thesis: Experimental Design with an Adaptive Method of Lines
  • Diploma Thesis: Multiple Shooting for Experimental Design (together with S. Sager)
  • Diploma Thesis: Parameter Estimation for a Currency Exchange Rate Model (together with W. Jäger)
  • Software Development: VPLAN

OED - Optimum Experimental Design (BASF Cooperation)

The Junior Research Group Optimum Experimental Design is funded by BASF SE. Topic of the research are numerical methods for parameter estimation and optimum experimental design problems for applications from industrial practice.

A special focus is the development of efficient algorithms for nonlinear optimization and algorithmic differentiation for the arising non-standard optimal control problems in the context of models described by differential algebraic equation systems or partial differential equations.

An important aim is the development of efficient software which is directly usable by the industrial partners.

The JRG takes part in the teaching activities of the Graduate School both by basic student education and by specialized doctoral student training courses.

Coordinator:

  Dr. Stefan Körkel

 

 

 

 


  • JRG BASF Projects: Parameter Estimation and Optimum Experimental Design for PDE
  • BMBF-Projekt Novoexp: Efficient Derivative Evaluation for Optimum Experimental Design (together with A. Griewank, HU Berlin)
  • BMBF-Projekt Paraplue: Optimum Experimental Design for Parabolic PDE in Organic Electronics
  • IWR Pioneering Projects: Parameter Estimation of Stellar Parameters via Solution of Inverse Problems for the Radiative Transfer Equation(together with P. Hauschildt, Sternwarte Hamburg, and R. Wehrse†)
  • Online Experimental Design (together with H. Arellano-Garcia, TU Berlin)

 


CG - Computer Graphics

Programmable graphics cards or General Purpose Graphical Processing Units (GPGPU) accelerate the computing time tremendously. But not every algorithm can benefit from this architecture. Our main focus is the evaluation of algorithms due to their applicability on topics such as particle filtering methods or anisotropic nonlinear diffusion filtering used in medical applications. We already have experiences with volume rendering techniques successfully implemented with Compute Unified Device Architecture (CUDA) and are currently investigating the use of parallelization in fluid visualization techniques.

Mid range and close range laser scanning for surveying sites become more and more popular. The results are extremely large data sets of (meshed) point clouds. We combine methods from scientific computing with demands of cultural heritage sites to draw the interesting information out of this data. Automated texturing with adaptive meshing is done as well as terrain-based level of detail mesh simplification. Reconstructions of a complex building, potsherds and broken fragments shall be automated based on multi-scale integral invariants used for 3D puzzles. Combing our knowledge on image filtering with 3D surface data shall result in automated transcriptions of scripts (epigraphy) for ancient documents (Assyrian cuneiform, Greek inscriptions, Chinese sutras).

Coordinator:

  Dr. Susanne Krömker (acting)

Scientific Interests & Projects

  • Heidelberg Graduate School HGS MathComp


JRG Alumni


  • Heidelberg Graduate School HGS MathComp

MAS - Modelling and Analysis of Nonlinear Multiscale Systems (2007-2011)

Remark: The group belonged to HGS MathComp from 2008 to 2011. Maria Neuss-Radu accepted a new position as   Deputy Professor for Biomathematics, University Erlangen-Nürnberg

The reserach aims are to develop new analytical methods and concepts which allow to study complex systems at each scale and to describe the transfer between the scales quantitatively. Our investigations are based on theoretical methods of asymptotic analysis and nonlinear partial differential equations. However, an important goal of our research is to provide approaches, which can also be used to handle multiscale problems numerically.

Coordinator:

  Dr. Maria Neuss-Radu

The areas of applications are:

  • flow, transport and reaction in porous media (incluindg biological tissue) and vessels,
  • flow, reactive transport (including ion transport) through membranes,
  • transport and reaction in gradients (including chemotaxis, and magnetic fluids),
  • biomechanical-biochemical interactions.

MathOpt - Mathematical and Computational Optimization (2008-2012)

Remark: The group belonged to HGS MathComp from 2008 to 2012. Sebastian Sager accepted a new position as   Professor for Mathematical and Computational Optimization, University of Magdeburg

The junior research group MathOpt is embedded in the Heidelberg Graduate School of Mathematical and Computational Methods for the Sciences. It has been founded in October 2008.

Its main focus is on the application driven development of optimization methods, and their efficient implementation on computers. A specialization is in efficient numerical algorithms for mixed-integer optimal control. However, also more general algorithms for both static nonlinear optimization and for problems that are constrained by differential equations have been developed and applied.

Coordinator:

  Dr. Sebastian Sager

Scientific Interests & Projects:

Active research fields include

  • Heidelberg Graduate School HGS MathComp

Associated JRG Trading Diasporas: Transcultural Agency, Religious Bans and Illicit Trade in the Eastern Mediterranean (2008-2012)

Remark: The group belonged to HGS MathComp from 2008 to 2012. Georg Christ accepted a new position as   Lecturer Medieval & Early Modern History, University of Manchester

Trading diasporas stood at the intersection of civilisations and were shaped by transcultural trade as much as by transcultural antagonisms. They acted as vanguards of civilisational entities in foreign lands and thus mediated between cultural groups by constantly redrawing linguistic, legal, and economic borders. The research group "Trading Diasporas" studies tensions within and between different diasporic groups in the Eastern Mediterranean in the Late Middle Ages. With particular respect to the crusades, we are interested in how these merchant Diasporas positioned themselves between their homeland and their host environment. To what extent was their internal organisation shaped by transcultural exchange and cultural antagonisms? Did they develop into parallel societies or did they merge with their host culture? Our research and public events are intended to contribute to a better understanding of both historical and modern societies, which despite of their transcultural integration are under threat from ideologically motivated conceptions of culture.

Coordinator:

  Dr. Georg Christ

Research Interests

  • Climate change and the crisis of the 14th century. It's impact on long distance trade
  • Scientific computing, historical GIS in Medieval archeology
  • digital datamanagement in historical research (cue card systems)
  • Customs, maritime police, and smuggling in the Mediterranean in the Late Middle Ages
Heidelberg Graduate School HGS MathComp