2011 Fiscal Year Final Research Report
Construction of "look-ahead" linear multistep methods for ODEs
| Project/Area Number |
21540153
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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 |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Doshisha University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
ESAKI Nobuyuki 豊田工業高等専門学校, 准教授 (80311033)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 数値数学 / 微分方程式 |
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| Research Abstract |
We proposed "look-ahead" linear multistep methods as a new type of discrete variable method of initial-value problems of ordinary differential equations by analyzing their numerical properties, and derived several "look-ahead" linear two-step methods, whose convergence and stability are confirmed through numerical experiments. Thus the new method is promising to be competitive with the conventional methods.
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