The numerical analysis group at OSU focuses mainly on the study of numerical methods
for partial differential equations. Topics we have been working on include continuous
and discontinuous Galerkin methods, the finite volume methods, a priori and a posteriori
error estimations, least squares methods, various preconditioning techniques, and
numerical implementations. We also have extended interests in other related topics
such as finite difference methods, numerical linear algebra, and large-scale computing.
Accurate and efficient numerical methods can be used to successfully simulate many
complicated physical processes in areas such as solid and fluid mechanics, surface
sciences, electromagnetism, and mathematical finance, etc.