PTB ́s department of ‘Mathematical modelling and data analysis consists of working groups on modelling and simulation as well as on data analysis and uncertainty evaluation. The department is represented on the JCGM-Working Group on Uncertainty at BIPM and in IMEKO TC 21. The PTB Working Group ‘Modelling and Simulation’ is concerned with analytical and, mostly, numerical methods for partial differential equations and inverse methods in metrology with a strong emphasis on inverse methods for electromagnetic fields, flow simulations and complex systems in medical and biological physics. The Data Analysis Group is concerned with statistical data analysis in metrological applications and with the foundation, as well as the application, of measurement uncertainty evaluation. In addition, in conjunction with NPL and SP, the group leads a successful EURAMET inter-disciplinary research project on uncertainty analysis applied to dynamic measurement problems that organises a series of international workshops devoted to this topic. In a joint effort of both WGs, the scope of research has recently been extended from deterministic to statistical inverse problems, which is a first-step evaluation of uncertainties for systems with computationally expensive model functions.
Head of the Department of ‘Mathematical Modelling and Data Analysis’ (currently 25 staff members) and of the WG ‘Modelling and Simulation’ (currently 11 staff members), Chair of EURAMET Focus Group ‘Mathematical Tools and Software for Metrology’. He is associated with the faculty of Mathematics and Natural Sciences of the Technical University in Berlin. He has been involved in the management of 11 projects funded by various organisations including the German Science Foundation (DFG), the Federal Ministry for Education and Research (BMBF) and the German Academic Exchange Service (DAAD). In addition, he has chaired and organised numerous international conferences and workshops, e. g. AMCTM11, DYNACT11, MATHMET10. He has co-authored more than 90 papers in peer-reviewed journals. His research is currently focused on partial differential equations and inverse methods in metrological applications as well as on modelling of complex systems in medical and biological physics. More specifically, he has a strong interest in inverse methods and uncertainty evaluation in applications.Contact directly: EmailBaer
Head of WG ’Data Analysis and Measurement Uncertainty’, (currently 13 staff members) is a member of JCGM/WG1 on the Expression of Uncertainty in Measurement (GUM). He has been involved in the management of 10 projects funded by various organisations including the German Science Foundation (DFG), the Federal Ministry of Economics and Technology (BMWi) or Industry. He is currently involved in two EMRP-Projects IND09 (Traceable dynamic measurements of mechanical quantities) and IND10 (Optical and tactile metrology for absolute form characterisation). In addition, he has chaired and organised numerous international conferences and workshops, e.g. a series of workshops on “Analysis of dynamic measurements”, MATHMET10. He has co-authored more than 50 papers in peer-reviewed journals. His research interests comprise the foundation of measurement uncertainty evaluation, statistical data analysis in metrological applications as well as the analysis of dynamic measurements.Contact directly: EmailElster
- O. Bodnar and C. Elster. Analytical derivation of the reference prior by sequential maximization of Shannon's mutual information in the multi-group parameter case. Journal of Statistical Planning and Inference 147, 106-116, 2014
- S. Eichstädt, F. Schmähling, G. Wübbeler, K. Anhalt, L. Bünger, U. Krüger and C. Elster. Comparison of the Richardson-Lucy method and a classical approach for spectrometer bandpass correction. Metrologia 50, 107-118, 2013
- C. Elster, K. Klauenberg, M. Bär, A. Allard, N. Fischer, G. Kok, A. van der Veen, P. Harris, I. Smith, L. Wright, S. Cowen, P. Wilson and S. Ellison. Novel mathematical and statistical approaches to uncertainty evaluation in the context of regression and inverse problems. 16th International Congress of Metrology, 2013
- W. Bich, M. G. Cox, R. Dybkaer, C. Elster, W. T. Estler, B. Hibbert, H. Imai, W. Kool, C. Michotte, L. Nielsen, L. Pendrill, S. Sidney, A. M. H. van der Veen, and W. Wöger. Revision of the ''Guide to the Expression of Uncertainty in Measurement. Metrologia 49, 702-705, 2012
- G. Wübbeler, P. M. Harris, M. G. Cox and C. Elster. A two-stage procedure for determining the number of trials in the application of a Monte Carlo method for uncertainty evaluation. Metrologia 47, 317, 2010