This dissertation is a study of boundary integral methods and free surface problems. An analysis is made for three problems, flow over an uneven bottom, flow from a uniform channel over shelf, and flow from a uniform channel over a sharp-crested weir. All problems studied here include the influence of gravity, under the assumptions that the motion is irrotational, the fluid is incompressible, inviscid, and the flow is two-dimensional and steady. The solutions are obtained by using conformal mapping theory, which maps the fluid region in the normalized complex-potential plane onto an upper half-plane, and Hilbert\u27s technique. Each problem has been programmed and run on a computer, and the computed results plotted and compared with different authors quoted in Chapter I, whenever possible.Dept. of Mathematics and Statistics. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis1981 .A234. Source: Dissertation Abstracts International, Volume: 42-08, Section: B, page: 3289. Thesis (Ph.D.)--University of Windsor (Canada), 1981
