Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, October 31, 2008 - 05:00

Location:

Gilkey 113

Event Link:

Local Speaker:

Abstract:

An overview of the method, including what it is, will be given for BVPs of the form y’’=f(x,y,y’) plus Dirichlet, Sturm-Liouville, Neumann, or Periodic boundary conditions. The goal will be to justify the shooting procedure theoretically (it must work in principle) and to illustrate how it works in practice (numerical results) under assumptions that include interesting physical cases and where the hypotheses that guarantee unique solvability of the BVPs also guarantee that shooting will work. We will do this in the context of BVPs of Bernstein type. Such problems arise, for example, in the calculus of variations and in steady-state heat conduction in a rod. (If the abstract makes general sense to you the talk should be easy to follow.)