Department Colloquium
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Speaker:
Maeve L. McCarthy Department of Mathematics and Statistics Murray State University, Murray, Kentucky Time and Place: 3:30 p.m., Tuesday, September 23, 2003, 140 Swalm Title: Eigenparameter dependent inverse Sturm-Liouville problems Abstract: Numerical techniques for the inverse Sturm-Liouville problem with eigenparameter dependent boundary conditions will be discussed. We will show that the potential q in -u¢¢+qu =lu, 0<x<1 subject to boundary conditions u(0)=0, (al+b)u(1) =(cl+d) u¢(1) can be reconstructed using finite spectral data. This problem is first approached through the usual Gel'fand-Levitan technique by solving an equivalent hyperbolic boundary value problem. We also consider a shooting method where the right endpoint boundary condition is used in conjunction with a quasi-Newton scheme to recover the unknown potential. This is joint work with William Rundell of Texas A&M University. Host: Seth Oppenheimer, (662) 325-7156, seth@math.msstate.edu Refreshments: 3:00-3:30 p.m., 467 Allen |