Abstract
The solution of the Benard-Rayleigh convection problem using ILLIAC IV is reviewed and comments about solving partial differential equations using this computer are made. This includes a brief look at possible uses of parallelism in designing arithmetic logic units, at the Institute for Advanced Computations, at the ARPA communications network and at the ILLIAC IV. An explicit solution of the prognostic convection equations is considered and the use of iterative and direct methods for solving the Poisson streamfunction equation discussed. Storage considerations are emphasized. Closing remarks on algorithmic parallelism, others using ILLIAC and I-O and programming language considerations for ILLIAC are included.
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References
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Wilhelmson, R. (1974). Solving partial differential equations using ILLIAC IV. In: Colton, D.L., Gilbert, R.P. (eds) Constructive and Computational Methods for Differential and Integral Equations. Lecture Notes in Mathematics, vol 430. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066281
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DOI: https://doi.org/10.1007/BFb0066281
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