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Johann Radon Institute for Computational and Applied Mathematics (RICAM)
Austrian Academy of Sciences (ÖAW)
Ricam Research Group "Computational Methods for Direct Field Problems" (CM)
led by Ulrich Langer

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Ricam Research Group "Inverse Problems" (IP)
led by Otmar Scherzer

In inverse problems, one is looking for causes for desired or observed effect. Examples include Computerized Tomography, which is mathematically the inversion of the Radon transform, which gives a scientific link to Johann Radon, after whom the Intstitute is named, inverse scattering problems, and parameter identification in (partial) differential equations. The mathematical challenge is that inverse problems are usually ill-posed, which leads to severe instability with respect to noise; this can be remedied by employing "regularization methods". The group is active in the mathematical theory and the numerics of regularization methods and in applications of inverse problems to science and engineering.

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Ricam Research Group "Symbolic Computation" (SC)
led by Josef Schicho

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Ricam Research Group "Analysis of Partial Differential Equations" (PDE)
Groupleader position currently vacant.

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Ricam Research Group "Optimization and Optimal Control" (OOC)
led by Karl Kunisch

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Ricam Research Group "Mathematical Imaging" (MI)
led by Otmar Scherzer

The objective of imaging is to make recorded data accessible for efficient visual and automatic inspection. We are interested in the design process of imaging devices for thermoacoustical imaging, and for computational image processing of well established imaging modalities, where we focus on the design and efficient implementation of differential equations and variational methods for data processing, like noise reduction, pattern recognition, enhancing, and segmentation.

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Ricam Research Group "Mathematical Methods in Molecular and Systems Biology" (BIO)
led by Philipp Kügler and Christian Schmeiser

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Transfer Group (TG)
led by Ronny Ramlau

Research cooperations with industry have been a long-standing strength of mathematics in Linz. The RICAM transfer group works on mathematical problems motivated by industrial applications arising in the partner companies. Together with the Industrial Mathematics Competence Center at MathConsult, research activities are currently carried out in the following fields: Motivation for these problems arises, e.g., in multiphysics problems, in automotive simulation or in mathematical finance. Frequently, similar mathematical techniques can successfully be applied to quite different fields of industrial background.

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Research Project "Applied Discrete Mathematics and Cryptography" (DC)
led by Arne Winterhof

This research project focuses on application areas as cryptography, coding theory and the analysis of pseudorandom number generators where methods from discrete mathematics, as for example exponential sum techniques, are promising. Special focus is put on finite fields and their applications, in particular sequences in cryptography and numerical integration.

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NFG Project "Multiscale modeling and simulation of crowded transport in the life and social sciences"
led by Marie-Therese Wolfram

The New Frontiers Group focuses on the mathematical modeling and simulation of crowded transport on multiple scales. The research objectives include general modeling aspects of crowded motion, i.e. translation of the microscopic interactions on the macroscopic scale, as well as their application in biology and social sciences. Examples include pedestrian motion, cell motility, animal herding or the transport of charged particles in biological and synthetic channels. Based on the derived mathematical models and their analytic behavior, we focus on the development of efficient numerical methods on the macroscopic scale and their consistent coupling with microscopic approaches.

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START Project "Sparse Approximation and Optimization in High Dimensions" (START)
led by Massimo Fornasier

http://hdsparse.ricam.oeaw.ac.at

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The Institute is named after the famous Austrian mathematician Johann Radon (1887-1956)

Medieninhaber:
Österreichische Akademie der Wissenschaften
Juristische Person öffentlichen Rechts (BGBl 569/1921 idF BGBl I 130/2003)
Dr. Ignaz Seipel-Platz 2, 1010 Wien
Diese Website dient zur Information über die wissenschaftlichen Aktivitäten der Österreichischen Akademie der Wissenschaften und setzt somit den gesetzlichen Auftrag um, die Wissenschaft in jeder Hinsicht zu fördern.

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