Abstract
A parallel multischeme computation in the solutions of differential equation initial-value problems has been studied. The mathematical switch of computation history is used successfully in the identification of the best approximation among all available ones at a computing step. A solution correction factor is also developed to achieve an extra four digits in solution accuracy. Based on our results, if the truncation error of computation history as we defined it can be properly utilized, then a computation engaging high-order schemes or using fine grids may be unnecessary.
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Chiang, Yl.F., Lai, JF. Parallel multischeme computation with the switch of computation history. J Sci Comput 5, 35–53 (1990). https://doi.org/10.1007/BF01063425
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DOI: https://doi.org/10.1007/BF01063425