| Presentation | 1996/7/27 A Method of Proving the Existence of Solution Curves Based on the Numerical Computation with Guaranteed Accuracy Yuchi KANZAWA, Shin'ichi OISHI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Let us consider tracing solution curve of nonlinear system or equations. If the solution curve has some singular points, it is very difficult to trace the solution curve. In this report, it is assumed that the solution curve has no singular points. Former method of solution curve tracing, called "Continuation Method", sometimes failes. But the method make us know the failure. In this report, we propose a new algorithm of solution curve tracing never to fail. As a concrete method, we use Krawczyk's method to guarantee the region having the unique solution curve. Krawczyk's method is a convergence theorem on Newton approximation method by interval arithmetic. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Nonlinear Equation / Solution Curve Tracing / Numerical Method with Guaranteed Accuracy |
| Paper # | NLP-96-56 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 1996/7/27(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 Method of Proving the Existence of Solution Curves Based on the Numerical Computation with Guaranteed Accuracy |
| Sub Title (in English) | |
| Keyword(1) | Nonlinear Equation |
| Keyword(2) | Solution Curve Tracing |
| Keyword(3) | Numerical Method with Guaranteed Accuracy |
| 1st Author's Name | Yuchi KANZAWA |
| 1st Author's Affiliation | School of Science and Engineering, Waseda University() |
| 2nd Author's Name | Shin'ichi OISHI |
| 2nd Author's Affiliation | School of Science and Engineering, Waseda University |
| Date | 1996/7/27 |
| Paper # | NLP-96-56 |
| Volume (vol) | vol.96 |
| Number (no) | 208 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |