| Presentation | 1999/3/17 Numerical Computation with Guaranteed Accuracy of Periodic solution of Ordinary Differencial Equation Using Numerical Integration Kosuke MARUYAMA, Takao SOMA, Shin'ichi OISHI, Kazuo HORIUCHI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Let us caluculate the Galerkin's approximate solution of an Nonlinear ordinary differencial function using the Newton's method, and guarantee its accuracy. If the nonlinear term of the differncial function is not polynomial style, the Jacobian matrix correspondence to the differencial function cannot be caluculated analytically. In this report, for correspondence to non-polynomial nonlinear term, the method to caluculat the Jacobian matrix with guaranteed accuracy using numerical integration will be proposed and its numerical example will be recommended. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | numerical integration / ordinary differencial equation / Jacobian matrix |
| Paper # | NLP98-111 |
| Date of Issue |
| Conference Information | |
| Committee | NLP |
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| Conference Date | 1999/3/17(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Vice Chair | |
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| Assistant | |
| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Numerical Computation with Guaranteed Accuracy of Periodic solution of Ordinary Differencial Equation Using Numerical Integration |
| Sub Title (in English) | |
| Keyword(1) | numerical integration |
| Keyword(2) | ordinary differencial equation |
| Keyword(3) | Jacobian matrix |
| 1st Author's Name | Kosuke MARUYAMA |
| 1st Author's Affiliation | School of Science and Engineering, Waseda University() |
| 2nd Author's Name | Takao SOMA |
| 2nd Author's Affiliation | School of Science and Engineering, Waseda University |
| 3rd Author's Name | Shin'ichi OISHI |
| 3rd Author's Affiliation | School of Science and Engineering, Waseda University |
| 4th Author's Name | Kazuo HORIUCHI |
| 4th Author's Affiliation | School of Science and Engineering, Waseda University |
| Date | 1999/3/17 |
| Paper # | NLP98-111 |
| Volume (vol) | vol.98 |
| Number (no) | 662 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |