Applied and interdisciplinary research overlaps with nearly every other research group in the department. These activities include computational materials science, porous media, fluid mechanics, transport equations, inverse problems and imaging, complexity theory, computational algebra, computational geometry, and mathematical biology.
The department plays key roles in two major university interdisciplinary institutes. The Institute for Applied Mathematics and Computational Science is funded by a $20 million five-year grant from King Abdullah University of Science and Technology and involves a collaboration between Mathematics, Statistics, and Computer Science. Three of its co-directors are professors of Mathematics: Yalchin Efendiev, Peter Kuchment, and Jay Walton. The second is the Institute of Scientific Computation (ISC), which is a multidisciplinary research center devoted to the design, analysis and implementation of innovative computational tools to advance scientific and engineering research and education. The director of the ISC is Yalchin Efendiev, Professor of Mathematics. At least a half-dozen other members of the Mathematics Department are involved with both institutes.