Abstract
MR. KNIGHT'S letter inquires into the possibility of using computing machines to solve non-linear partial differential equations by the relaxation method. His suggestions imply two quite separate proposals : first, that non-linear equations can be solved by systematic relaxation; secondly, that the numerical processes involved can be programmed as a set of instructions an electronic computer.
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References
Green, J. R., and Southwell, R. V., Phil. Trans. R.S.C., 1, 137 (1944). Allen, D. N. de G., and Southwell, R. V., Phil. Trans. R.S.A., 242, 379 (1950). Allen, D. N. de G., and Southwell, R. V., Quart. J. Math. and App. Math., 8, 129 (1955).
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ALLEN, D. Extension of Field of Application of Relaxation Methods of Computation. Nature 178, 434 (1956). https://doi.org/10.1038/178434a0
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DOI: https://doi.org/10.1038/178434a0
