Extremization in Function Spaces (Lester Senechal).
The students in Senechal's group were Eric Hsu (Harvard), Patricia Nelson (St. Olaf), Brooke Shipley (Harvard) and Suzanne Tourville (Agnes Scott). The group implemented John Neuberger's algorithm for steepest descent in function spaces relative to a natural structure given by a Sobolev metric. They applied it to a number of variational problems, concentrating on the minimal surface equation. They compared running times of algorithms using the standard and Sobolev metrics.