Kreiss became interested in numerical analysis while studying civil engineering at the KTH Royal Institute of Technology.[2] She earned a master's degree in applied mathematics there in 1982, and completed her PhD in 1986,[5] with the dissertation Analytical and numerical studies of the convergence to steady state of solutions of two model problems of fluid dynamics jointly supervised by Germund Dahlquist and Björn Engquist.[6]
After completing her doctorate, she continued at the KTH Royal Institute of Technology as an assistant professor, beginning in 1987, and was promoted to associate professor in 1993 and full professor in 2003. She headed the Numerical Analysis Group at KTH from 2004 to 2006. She took her present position as professor of numerical analysis at Uppsala University in 2006, and headed the Division of Scientific Computing there beginning in 2012.[5] At Uppsala University, her doctoral students have included Sara Zahedi (PhD 2011),[6] who won the 2016 European Mathematical Society Prize for her work on fluid dynamics.[7]
^"Prize laureates"(PDF), 7th European Congress of Mathematics, European Mathematical Society, 18–22 July 2016, archived from the original(PDF) on 2018-10-06, retrieved 2021-08-15