My woefully out-dated website is below. After years of neglect, it is finally being updated. Please check back soon for non-antiquarian information on our research
guiding principle in our research is simplicity.
We are drawn to problems which are so complex
that others study them using the most advanced
and sophisticated numerical approaches. What
we try to do, is find simple analytical solutions
for these unwieldy problems. Actually, we often
don’t seek to find a solution, just as
much of one as possible. For computers are very
efficient at finding a solution once they are
brought in the close vicinity of a solution.
Computers are hugely inefficient at finding
a solution if they have little information on
where to search for the solution. So, our analysis
seeks to provide, if not the full solution,
then to provide 50% or even just 10% of the
solution so as to allow numerical solutions
to start with a good idea as to where to go
to find the complete solution. With this partial
information as initial condition, numerical
schemes are vastly faster. For example, the
usual computer routines for finding protein
structures may take many days or months. But,
with some of our analytical advice, we hope,
that this time can be reduced to hours or minutes.
We have applied this basic philosophy of looking
for simple analytic solutions to complex problems
in the areas of turbulence, many-body problems,
slip of liquids over solids, and protein folding.