Error bounds on numerical solutions of dirichlet problems for quasilinear elliptic equations
Los Alamos National Lab. (LANL), Los Alamos, NM (United States), Thurman Frank, US Atomic Energy Commission (AEC) · 1966
Let R be closed, bounded, simply connected region in the plane. Let P denote the Dirichlet problem Aux x + 2Bu xy + Cu yy = G on .R in which A, B; C, G depend on x, y, u, u x , u y. Several finite difference analogues of P are studied which use essentially central differences except near the boundary.