Abstract. Finite-difference approximations to the three boundary value problems for Poisson's equation are given with discretization errors of 0(h3) for the mixed boundary value problem, 0(A3|ln h\) for the Neumann problem and 0(h*) for the Dirichlet problem, respectively. These error bounds are an improvement upon similar results obtained by Bramble and Hubbard; moreover, all resulting coefficient matrices are of positive type.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.