Alternating direction methods for 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

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

Jim Douglas, H.H. Rachford · Transactions of the American Mathematical Society · 1956 · 1.7K citations

Engineering, Mechanical Engineering, Computational Heat Transfer +6

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

A finite‐difference method of high‐order accuracy for the solution of three‐dimensional transient heat conduction problems

P. L. T. Brian · AIChE Journal · 1961 · 160 citations

Engineering, Computational Engineering, Mechanical Engineering +16

The application of stability analysis in the numerical solution of quasi-linear parabolic differential equations

Jim Douglas · Transactions of the American Mathematical Society · 1958 · 60 citations · Full text

Natural Sciences, Mathematics, Physics +11