Dr. Jason Howell

Biography

Jason Howell is a Teaching Professor in the Department of Mathematical Sciences at Carnegie Mellon University. He holds a Ph.D. in Mathematical Sciences from Clemson University. His research focuses on numerical analysis and computational mathematics, with a specific interest in numerical approximation and partial differential equations (PDEs). He explores the theoretical underpinnings of the finite element method, particularly in relation to compatibility conditions and mixed methods. Howell also develops finite element methods that directly approximate quantities of significant physical interest, such as fluid stresses, and works on improving regularity requirements. His work has implications for continuum models in fluid-structure dynamics, and he is keen on devising fast and efficient linear solvers for decoupling time-dependent problems. Howell's interests extend to applications of mathematics in sciences, having collaborated with chemists and physicists on projects involving solubility parameters of nanostructures. He mentors undergraduate students in their research, working on projects in fluid-structure interactions and numerical linear algebra applications of differential equations.

Research Interests