STRING BOWING REVISITED

This work explores an integral equation formulation of a generalised b owing problem incorporating air resistance and bow width. The Keller/F riedlander results are obtained as a special case. Some illustrative r esults are presented for a lightly damped string bowed at a point. The related integral equations are solved using Filon's method, a clever but relatively unknown algorithm for the numerical evaluation of integ rals with rapidly oscillating trignometric kernels.