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Johann Radon Institute for Computational and Applied Mathematics (RICAM)

As part of the Austrian Academy of Sciences, the Johann Radon Institute for Computational and Applied Mathematics (RICAM) conducts fundamental application-oriented research in the field of applied mathematics under the direction of Univ.-Prof. Dr. Ronny Ramlau; the institute employs post-doctoral students from around the world and doctoral students (sponsored by third party funding) whose mentoring and supervision are provided by group leaders and post doctoral students at RICAM. Doctoral students at RICAM graduate from the Johannes Kepler University Linz. RICAM cooperates with other mathematics’ institutes at JKU and the MathConsult GmbH to cover the entire range of basic research and graduate training along with the realization of explicit solutions for business and industry.

RICAM conducts basic application-orientated research and is comprised of the following work groups:

  • Computational Methods for PDEs - o.Univ.-Prof. Dr. Ulrich Langer (JKU)
  • Geometry in Simulations - Univ.-Prof. Dr. Bert Jüttler (JKU)
  • Inverse Problems and Mathematical Imaging - Univ.-Prof. Dr. Otmar Scherzer (University of Vienna)
  • Symbolic Computation - a.Univ.-Prof. Dr. Josef Schicho (JKU)
  • Optimization and Optimal Control - o.Univ.-Prof. Dr. Karl Kunisch (University of Graz)
  • Mathematical Methods in Molecular and Systems Biology - Prof. Dr. Philipp Kügler (University of Hohenheim)
  • Modelling, Analysis and Numerics of PDEs in Cell Biology - Univ.-Prof. Dr. Christian Schmeiser (University of Vienna)
  • Transfer Group - Univ.-Prof. Dr. Ronny Ramlau (JKU)
  • Applied Discrete Mathematics and Cryptography - Doz. Dr. Arne Winterhof (RICAM)
  • New Frontiers Research - Doz.in Dr.in Marie-Therese Wolfram (University of Warwick)
  • Multivariate Algorithms and Quasi-Monte Carlo Methods - Doz. Dr. Peter Kritzer (RICAM)

Key research areas include:

  • Efficient methods for the simulation of multi-field problems by partial differential equations
  • Symbolic computation, particularly in interaction with numeric methods
  • Analysis and numerics of nonlinear inverse problems with applications in natural sciences (especially Life Sciences), engineering technology and corporate finance
  • Image processing
  • Optimization and control theory, in particular optimization of currents as well as forming optimization
  • Analytic methods for partial differential equations with applications, especially in quantum physics

RICAM regularly organizes special semester programs which include international participants from diverse fields. During these semesters, current research topics within RICAM’s field of expertise are worked on intensely. In 2007, the special semester addressed “Quantitative Mathematical Methods for Molecular and Systems Biology” under the successful direction of o.Univ.-Prof. Dr. Heinz W. Engl with over two hundred participants. In 2008, the special semester topic was “Stochastics with an Emphasis on Finance". In 2009 and 2010, Prof. Dr. Bernd Hofmann held two "Mini Special Semesters on Inverse Problems". In 2011, the special semester topic was "Multiscale Simulation and Analysis in Energy and the Environment" under the direction of Prof. Dr. Robert Scheichl. In fall 2013 there was a special semester on "Applications of Algebra and Number Theory". The topic of the special semester in 2014 was "New Trends in Calculus of Variations", organized by Prof.in Dr.in Maitine Bergounioux. For the years 2016 and 2017 the institute plans special Semester programs on "Computational Methods for Science and Engineering" and "From Individual to Collective Behavior in Life and Social Science".