Heinz Werner Engl (born 28 March 1953) is an Austrian mathematician, the rector of the University of Vienna.
Engl was born in Linz. He studied at the Johannes Kepler University of Linz, where he earned an engineering diploma in technical mathematics in 1975, a doctorate in 1977, and a habilitation in 1979. He worked at the University of Linz starting in 1976 as an assistant professor, was promoted and tenured in 1981, and became a full professor in 1988. His research in this period concerned inverse problems in applied mathematics. He became vice-rector of the University of Vienna in 2007, and rector in 2013.
With Martin Hanke and Andreas Neubauer he is the author of the book Regularization of Inverse Problems (Mathematics and its Applications 375, Kluwer Academic Publishers, 1996).
Engl won the Theodor Körner Prize in 1978, the Wilhelm Exner Medal in 1998, and the ICIAM Pioneer Prize (jointly with Ingrid Daubechies) in 2007. He became a corresponding member of the Austrian Academy of Sciences in 2000, and a full member in 2003. He became a fellow of the Society for Industrial and Applied Mathematics in 2009, an inaugural fellow of the American Mathematical Society in 2012, and a member of Academia Europaea in 2013. He is also a member of the European Academy of Sciences and Arts. In 2012, Saarland University gave him an honorary doctorate.