Discrete maximum principle for finite-difference operators

<i>Finite-Difference Methods for Partial Differential Equations</i>

George E. Forsythe, Wolfgang Wasow, W. Nachbar · Physics Today · 1961 · 1.4K citations

Natural Sciences, Mathematics, Computational Mechanics +10

An asymmetrical finite difference network

Richard H. MacNeal · Quarterly of Applied Mathematics · 1953 · 188 citations · Full text

Computing, Electrical Engineering, Topology +4

On the formulation of finite difference analogues of the Dirichlet problem for Poisson's equation

James H. Bramble, B. E. Hubbard · Numerische Mathematik · 1962 · 122 citations

Natural Sciences, Mathematics, Differential Equations +12

On a Finite Difference Analogue of an Elliptic Boundary Problem which is Neither Diagonally Dominant Nor of Non‐negative Type

James H. Bramble, B. E. Hubbard · Journal of Mathematics and Physics · 1964 · 110 citations

Computing, Computational Engineering, Finite Element Methods +12

New monotone type approximations for elliptic problems

James H. Bramble, B. E. Hubbard · Mathematics of Computation · 1964 · 83 citations

Computing, Computer Science, Mathematics +11