- W.T. and Idalia Reid Prize 2021
- SIAM Fellow, 2017.
- European Research Council, Advanced Grant, Horizon2020. 2015.
- Member of the MATHEON Scientific Advisory Board, since 2015.
- Invited Lecture, ICM, Hyderabad, 2010.
- Alwin Walther Medaille, 2008.
- Evaluation board member for numerous DFG programs in Germany and INRIA programs in France.
- SIAM Outstanding Paper Prize, 2006.
- Leader of Research Groups „Optimization and Control” at Radon Institute, Austrian Academy of Sciences, since January 2004.
- Member of Scientific Advisory Board of Weierstrass Institute for Applied Analysis and Stochastics, 2005-2012.
- Member of Senate of Christian Doppler Forschungsgesellschaft, since February 2002.
- Award of Christian Doppler Laboratory Fellowship, April 1992.
- Fellowship of the Japanese Society for the Promotion of Science, March 1990.
- Max Kade Scholarship 1982/83.
- Fulbright Travel Scholarship in academic years 1979/80, 1985.
- Research Award of Theodor-Körner-Fonds, Vienna, April 1979.
- Pro Scienta-Scholarship 1974–1977.
Institut für Mathematik und Wissenschaftliches Rechnen