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Hidenori Ogata2022 Volume 32 Issue 3 Pages 101-122
Published: 2022
Released on J-STAGE: September 28, 2022
JOURNAL FREE ACCESSAbstract. In this paper, we show a method of function approximation, numerical differentiation and numerical indefinite integration based on hyperfunction theory. In the proposed method, we obtain an approximation of a desired function by regarding it as a hyperfunction and computing approximately the standard defining function, which is an analytic function giving the desired function. Then, we obtain a numerical differentiation and a numerical indefinite integration by a simple procedure. Numerical examples show the effectiveness of the proposed method.
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Naoki Muraoka, Daisuke Takahashi2022 Volume 32 Issue 3 Pages 123-132
Published: 2022
Released on J-STAGE: September 28, 2022
JOURNAL FREE ACCESSAbstract. We propose some evolution systems of which state value is continuous．They are obtained by utilizing max-plus expression and include some Life-like cellular automata as a special case of state value．We also derive some exact solutions to those continuous systems．The solutions include a parameter and reduce to those to the original Life-like cellular automata by choosing the value of parameter．
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