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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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 応用数学 / 数理工学 / セルオートマトン / ヤルオートマトン |
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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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Report
(4 results)
Research Products
(31 results)
