Difference schemes with a “disintegrating” operator for multidimensional problems

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 · 3.2K citations

Numerical Analysis, Engineering, Fluid Properties +12

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

Numerical Analysis, Method Of Fundamental Solution, Space Variables +11

Implicit alternating direction methods

Garrett Birkhoff, Richard S. Varga · Transactions of the American Mathematical Society · 1959 · 91 citations

Numerical Analysis, Spectral Theory, Method Of Fundamental Solution +13

Approximate Solutions of Parabolic Equations

Milton Lees · Journal of the Society for Industrial and Applied Mathematics · 1959 · 81 citations

Numerical Analysis, Parabolic Equations, Engineering +4

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

Numerical Analysis, Engineering, Numerical Solution +7