Summary
Formulae are derived for estimating the magnitude of the round-off errors which arise in relaxational solutions of Poisson's equation in one dimension and over rectangular regions. In the latter case, the number of nodes and the mesh ratio are taken as variable parameters.
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References
Courant, R., E. Isaacson and M. Rees, Commun. Pure Appl: Math.5 (1952) 243.
Mitchell, A. R., Appl. sci. Res. A4 (1954) 109.
Karlquist, O., Tellus4 (1952) 374.
Hyman, M. A., Appl. sci. Res. B2 (1952) 325.
Rosenbloom, P. C., Proc. Nat. Bur. Stand. Symp. (1952) 231.
Newmark, N. M., Proc. First U.S. Nat. Congress Appl. Mech. (1951) 9.
Rutherford, D. E., Proc. Roy. Soc. Edinb. A63 (1952) 232.
Thom, A., The Aeronautical Quarterly4 (1953) 205.
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Mitchell, A.R. Round-off errors in relaxational solutions of Poisson's equation. Appl. Sci. Res. 3, 456–464 (1954). https://doi.org/10.1007/BF02123922
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DOI: https://doi.org/10.1007/BF02123922