2011 Fiscal Year Final Research Report
Ultradiscrete Analysis on Engineering Systems
| Project/Area Number |
21560069
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Engineering fundamentals
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| Research Institution | Aoyama Gakuin University |
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Principal Investigator |
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| Project Period (FY) |
2009 – 2011
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| Keywords | 応用数学 / 数理工学 / セルオートマトン |
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| Research Abstract |
We found several new aspects of the solutions and mathematical structures for ultradiscrete equations, in which both of the independent and dependent variables are discrete. We also studied the relationship between the solutions of the ultradiscrete equationsandthe corresponding nonlinear differential equations and made clear that both are closely related. We also proposed a Kalman filter for the ultradiscrete system, which suggests an applicability of the ultradiscrete equations to engineering systems.
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