Block Hopscotch Procedures for Second Order Parabolic Differential Equations

The authors consider a general block implicit hopscotch procedurefor solving parabolic partial differencial equations. Stabilityand convergence analyses are given and an examination of thecomparative accuracy of various particular cases is given. Theusefulness of these algorithms in solving problems using (r)geometry is indicated and their extensions to general exteriorproblems using a peripheral approach is included.