Scattering Calculations with Wavelets

We show that the use of wavelet bases for solving the momentum-space scattering integral equation leads to sparse matrices which can simplify the solution. Wavelet bases are applied to calculate the K-matrix for nucleon-nucleon scattering with the s-wave Malfliet-Tjon V potential. We introduce a new method, which uses special properties of the wavelets, for evaluating the singular part of the integral. Analysis of this test problem indicates that a significant reduction in computational size can be achieved for realistic few-body scattering problems.Comment: 26 pages, Latex, 6 eps figure

Conservation Contracting in Heterogeneous Landscapes: an application to watershed protection with threshold constraints

A key issue in the design of land use policy is how to integrate information about spatially variable biophysical and economic conditions into a cost-effective conservation plan. Using common biophysical scoring methods, in combination with economic data and simple optimization methods, we illustrate how one can identify a set of priority land parcels for conservation investment. We also demonstrate a way in which conservation agencies can incorporate concerns about biophysical thresholds in the identification of their priority land parcels. We apply these methods using Geographic Information System data from a New York conservation easement acquisition initiative for water quality protection. Working Paper # 2002-01