Fractional Steps methods for transient problems on commodity computer architectures

The determination of the elastic field of an ellipsoidal inclusion, and related problems

J. D. Eshelby · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1957 · 12.8K citations · Full text

Natural Sciences, Materials Science, Mechanical Engineering +15

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

Multi-level adaptive solutions to boundary-value problems

Achi Brandt · Mathematics of Computation · 1977 · 3.2K citations · Full text

Computing, Computational Engineering, Mathematics +17

On the Partial Difference Equations of Mathematical Physics

Richard Courant, Kurt Friedrichs, Hans Lewy · IBM Journal of Research and Development · 1967 · 2.4K citations

Natural Sciences, Mathematics, Physics +14

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