Berger's research includes high-performance parallel computing,
numerical analysis, and
computational fluid dynamics. Specifically she develops software and engineering applications for the spacecraft and aircraft industries. Berger worked at
Argonne National Laboratory as a scientific programmer after graduating from SUNY. Her specific duties included developing models for the Energy and Environmental Systems Division. During her time at Stanford, she became associated with the Stanford Linear Accelerator Center. After graduating with her Ph.D., she began working at the Courant Institute of Mathematical Sciences at
New York University, first as a postdoc, then as a faculty member. Berger has served as the deputy director of the Courant Institute and still serves as an educator at NYU. Berger has pioneered the technique of
adaptive mesh refinement which is used in the numerical solution of systems of partial differential equations (PDEs). Her work includes high-performance software and algorithmic innovations and has inspired significant work worldwide. Berger is also known for contributions to Cartesian mesh finite difference methods for numerical PDE's. ==Awards and recognition==