Arthur F. Thurnau Professor
Department of Mathematics
4830 East Hall
530 Church Street
University of Michigan
Ann Arbor, MI 48109-1043
phone: (734)-763-3505
fax: (734)-763-0937
email: krasnyATumichDOTedu
scientific computing, particle methods, integral equations
1. fluid dynamics,
vortex dynamics, Kelvin-Helmholtz instability, vortex sheet roll-up, vortex rings, vortex dipoles,
aircraft wake structure,
Hamiltonian chaos in vortex flow
2. tree-based fast summation methods for long-range particle interactions,
barycentric Lagrange treecode and dual tree traversal method,
parallel implementation on CPU clusters and GPUs
3. electrostatics of solvated biomolecules,
boundary integral method for Poisson-Boltzmann implicit solvent model
4. geophysical fluid flow, particle method for barotropic vorticity equation on a rotating sphere
5. electronic structure, integral equation based method for Kohn-Sham density functional theory
6. plasma dynamics, particle method for Vlasov-Poisson system
This material is based upon work supported by the National Science Foundation under Grant No. 0510162.
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.