Gottlieb's interests lie in the numerical simulation of the
partial differential equations used in
aerodynamics. She has authored the following books : •
Spectral Methods for Time-Dependent Problems (with
Jan S. Hesthaven and David Gottlieb, Cambridge Monographs on Applied and Computational Mathematics, 21, Cambridge University Press, 2007) •
Strong Stability Preserving Runge–Kutta and Multistep Time Discretizations (with David Ketcheson and
Chi-Wang Shu, World Scientific, 2011) Gottlieb directs UMass Dartmouth's Center for Scientific Computing & Visualization Research, which is a research center with over 30 faculty, multiple computational clusters, and an international advisory board. She founded the Center in 2013 with a colleague,
Gaurav Khanna. She served as Deputy Director of the
Institute for Computational and Experimental Research in Mathematics (ICERM) from 2017 to 2021, and as of 2021 she serves as Associate Director for Special Projects there. ==Recognition==