PhD in Applied and Computational Mathematics in Pasadena United States | California Institute of Technology

The Computing & Mathematical Sciences department at Caltech provides a cross-disciplinary graduate program focused on applied and computational mathematics, culminating in a Ph.D. This curriculum equips students with comprehensive foundational knowledge in computational and applied mathematics while cultivating specialized research skills in chosen application domains. These domains span diverse fields like fluid dynamics, materials science, mathematical biology, engineering applications, visual data analysis, and quantitative finance. By fulfilling the Ph.D. requirements, students gain the necessary preparation for professional paths in academic institutions, government research facilities, or industrial settings within applied mathematics.

Faculty research in applied and computational mathematics encompasses extensive topics such as nonlinear systems, biological computation, numerical methods and scientific computation, fluid dynamics theory and simulation, materials science theory, multiscale modeling and homogenization techniques, electromagnetic and acoustic computational approaches, statistical analysis, data and image processing, stochastic processes and probability theory, as well as dynamical systems and geometric mechanics. The department places significant focus, as evidenced by faculty research, on developing computational techniques to address complex problems emerging from engineering and scientific challenges.