• Member of Executive Boards of the Research Center MATHEON and the Einstein-Center for Mathematics (ECMath)
 
• Member of Excellence Council, FUB
 
• Co-Editor in Chief, Journal of Computational Dynamics, and member of the Editorial Board of SIAM Journal for Multiscale Modelling and Simulation
 
• Member of Scientific Advisory Board of MASDOCS, Warwick, UK
 
• Co-Chair Scientific Steering Committee PRACE (Partnership for Advanced Computing in Europe)
 
• Invited Plenary Talk, ICIAM, 2007
 
• Invited Sectorial Talk, ICM, 2010
 
• CECAM Lecture 2016
 
• Gold Medal, Technische Universität Berlin, 2013
 
• IBM international shared university grant, 2008
 
• Offers of full professorships in Düsseldorf, Warwick, New York, and Paderborn