On the numerical solution of heat conduction problems in two and three space variables

The Numerical Solution of Parabolic and Elliptic Differential Equations

D.W. Peaceman, H.H. Rachford · Journal of the Society for Industrial and Applied Mathematics · 1955 · 3.3K citations

Natural Sciences, Computational Engineering, Physics +17

Iterative methods for solving partial difference equations of elliptic type

David M. Young · Transactions of the American Mathematical Society · 1954 · 695 citations · Full text

Computing, Computer Science, Computational Mechanics +11

A Study of the Numerical Solution of Partial Differential Equations

George G. O’Brien, Morton A. Hyman, Sidney Kaplan · Journal of Mathematics and Physics · 1950 · 344 citations

Natural Sciences, Mathematics, Physics +14

On the Numerical Integration of $\frac{\partial ^2 u}{\partial x^2 } + \frac{\partial ^2 u}{\partial y^2 } = \frac{\partial u}{\partial t}$ by Implicit Methods

Jim Douglas · Journal of the Society for Industrial and Applied Mathematics · 1955 · 285 citations

Natural Sciences, Mathematics, Petroleum Engineering +16

Convergence Rates of Iterative Treatments of Partial Differential Equations

Stanley P. Frankel · Mathematical Tables and Other Aids to Computation · 1950 · 270 citations

Computing, Computer Science, Mathematics +16