On the Theory of Relaxation
Glasgow mathematical journal, Tome 1 (1953) no. 3, pp. 101-110

Voir la notice de l'article provenant de la source Cambridge University Press

§ 1. When a numerical method of obtaining an approximate solution of a linear differential equation is employed, the process involves two distinct types of approximation. The region of integration having been covered with a regular net, the differential equation and the appropriate boundary conditions are replaced by finite difference equations which are linear equations in the values of the dependent variable at the nodes of the net.
Mitchell, A. R.; Rutherford, D. E. On the Theory of Relaxation. Glasgow mathematical journal, Tome 1 (1953) no. 3, pp. 101-110. doi: 10.1017/S2040618500035541
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[(1)] (1)Courant, R., Friedrichs, K., and Lewy, H., Math. Annalen, 100, (1928), pp. 32–74. Google Scholar | DOI

[(2)] (2)O'Brien, G. G., Hyman, M. A., and Kaplan, S., Jour. Math, and Phys., 29 (1951), pp. 223–251. Google Scholar | DOI

[(3)] (3)Thomas, L. H., “Symposium on Theoretical Compressible Flow, 1949,” White Oak, Maryland. Google Scholar

[(4)] (4)Rutishauser, H., Zeit. f. angewandte Math. u. Phys., 3 (1952), pp. 65–74. Google Scholar | DOI

[(5)] (5)Bickley, W. G., Math. Gaz., 25 (1941), pp. 19–27. Google Scholar | DOI

[(6)] (6)Bickley, W. G., Q.J. Mech. App. Math., 1 (1948), pp. 35–42. Google Scholar | DOI

[(7)] (7)Rutherford, D. E., Proc. Roy. Soc. Edin., (A) 63 (1952), pp. 232–241. Google Scholar

[(8)] (8)Temple, G., Proc. Roy. Soc., (A) 169 (1939), pp. 476–500. Google Scholar

[(9)] (9)Stiefel, E., Zeit. f. angewandte Math. u. Phys., 3 (1952), pp. 1–33. Google Scholar | DOI

[(10)] (10)Fox, L., Q.J. Mech. App. Math., 1 (1948), pp. 253–280. Google Scholar | DOI

[(11)] (11)Southwell, R. V., Relaxation Methods in Theoretical Physics, Oxford (1946). Google Scholar

[(12)] (12)Turing, A. M., Q.J. Mech. App. Math., 1 (1948), pp. 287–308. Google Scholar | DOI

[(13)] (13)Todd, J., Proc. Comb. Phil. Soc., 46 (1949), pp. 116–118. Google Scholar | DOI

[(14)] (14)von Neumann, J. and Goldstine, H. H., Bull. Amer. Math. Soc., 53 (1947), pp. 1021–1099. Google Scholar | DOI

[(15)] (15)Allen, D. N. de G., and Severn, R. T., Q.J. Mech. App. Math., 4 (1951), pp. 209–222. Google Scholar | DOI

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