Professor Tokman's research is focused on building mathematical models of physical phenomena and developing efficient numerical methods for problems in science and engineering. In particular, she has been developing numerical techniques, which allow fast integration of large nonlinear systems of differential equations with widely varying temporal scales. Professor Tokman has worked on modeling large scale behavior of astrophysical and laboratory plasmas, including evolution of coronal loops in the solar atmosphere and plasma configurations arising in fusion related experiments. Her research interests also include computational biology, in particular, modeling experimental manipulations of biomolecular structure of living cells.