| Presentation | 1999/3/17 A Numerical Method to Prove the Existence of Solutions for Ordinary Differential Equations Using H_1 norm Takatomi MIYATA, Takao SOMA, Yuchi KANZAWA, Masahide Kashiwagi, 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) | In this report, we present a method for numerical verification of existence and inclusion of solutions for ordinary differential equation in case that certain approximate solution is given. Our method is based on Urabe's convergence theorem of a simplified newton method. Our purpose is to show a sufficient condition to exist an exact solution in a closed ball near an approximate solution. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Ordinary Differential Equation / Convergence theorem of a Simplified Newton method Fourier Series / Banach's Contraction Mapping Theorem |
| Paper # | NLP98-113 |
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| 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) |
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| 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) | A Numerical Method to Prove the Existence of Solutions for Ordinary Differential Equations Using H_1 norm |
| Sub Title (in English) | |
| Keyword(1) | Ordinary Differential Equation |
| Keyword(2) | Convergence theorem of a Simplified Newton method Fourier Series |
| Keyword(3) | Banach's Contraction Mapping Theorem |
| 1st Author's Name | Takatomi MIYATA |
| 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 | Yuchi KANZAWA |
| 3rd Author's Affiliation | School of Science and Engineering, Waseda University |
| 4th Author's Name | Masahide Kashiwagi |
| 4th Author's Affiliation | School of Science and Engineering, Waseda University |
| 5th Author's Name | Shin'ichi OISHI |
| 5th Author's Affiliation | School of Science and Engineering, Waseda University |
| 6th Author's Name | Kazuo HORIUCHI |
| 6th Author's Affiliation | School of Science and Engineering, Waseda University |
| Date | 1999/3/17 |
| Paper # | NLP98-113 |
| Volume (vol) | vol.98 |
| Number (no) | 662 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |