Abstract
We propose a method of determining the structure of a field on a finite interval of the real line. Using the field operations we construct an analog of the differential calculus having the property that the result of every operation is bounded. We propose using this approach to develop mathematical models that are free of divergence.
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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 35, 1992, pp. 167–172.
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Rvachev, V.L. Mathematical models and algorithms with a maximal number. J Math Sci 67, 2980–2985 (1993). https://doi.org/10.1007/BF01095882
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DOI: https://doi.org/10.1007/BF01095882