On the Approximate Solution of Delta(u)=F(u) Three-dimensional Dirichlet problems for Delta(u)=F(u), Fu >= 0, are treated numerically by an exceptionally fast, exceptionally accurate numerical method. Programming details, numerous examples and mathematical theory are suppliedxtension of the method in a natural way to n-dimensional problems is indicated by means of a 4-dimensional example. CACM September, 1963 Greenspan, D. Yohe, M. CA630931 JB March 13, 1978 6:57 PM 727 5 727 727 5 727 727 5 727