Ultra-discretization : a Connection between Cellular Automata and Differential Equations
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- Satsuma Junkichi
- 東京大学大学院数理科学研究科
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- Tokihiro Tetsuji
- 東京大学大学院数理科学研究科
Bibliographic Information
- Other Title
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- 超離散化 : セルオートマトンと微分方程式をつなぐ
- チョウ リサンカ セル オートマトン ト ビブン ホウテイシキ オ ツナグ
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Abstract
Cellular automata exhibiting solitonical behavior are discussed. Then it is shown that such cellular automata are directly related to a class of nonlinear wave equations by means of the technique of "ultradiscretization". Mathematical meaning and applications to other equations of the technique are also mentioned.
Journal
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- Bulletin of the Japan Society for Industrial and Applied Mathematics
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Bulletin of the Japan Society for Industrial and Applied Mathematics 9 (3), 236-246, 1999
The Japan Society for Industrial and Applied Mathematics
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Details 詳細情報について
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- CRID
- 1390282680742850176
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- NII Article ID
- 110007390797
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- NII Book ID
- AN10288886
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- ISSN
- 09172270
- 24321982
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- NDL BIB ID
- 4852889
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- CiNii Articles
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- Abstract License Flag
- Disallowed