| Presentation | 2009-11-11 Numerical Verification Method for Nonlinear Operator Equations Akitoshi TAKAYASU, Shin'ichi OISHI, Takayuki KUBO, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A method of estimating operator norm of a class of linear operators is presented. This method is based on numerical computations with result verification. Then, with the use of Kantorovich's theorem for the convergence of the Newton method, a method is presented to prove the existence of a solution for a class of nonlinear operator equations including nonlinear differential equations. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | verified numerical computation / computer assisted proofs / nonlinear differential equations |
| Paper # | NLP2009-90 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2009/11/4(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 | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Numerical Verification Method for Nonlinear Operator Equations |
| Sub Title (in English) | |
| Keyword(1) | verified numerical computation |
| Keyword(2) | computer assisted proofs |
| Keyword(3) | nonlinear differential equations |
| 1st Author's Name | Akitoshi TAKAYASU |
| 1st Author's Affiliation | Faculty of Science and Engineering, Major in Mathematics and Applied Mathematics, Waseda University() |
| 2nd Author's Name | Shin'ichi OISHI |
| 2nd Author's Affiliation | Faculty of Science and Engineering, Department of Applied Mathematics, Waseda University:JST CREST |
| 3rd Author's Name | Takayuki KUBO |
| 3rd Author's Affiliation | Institute of Mathematics, University of Tsukuba |
| Date | 2009-11-11 |
| Paper # | NLP2009-90 |
| Volume (vol) | vol.109 |
| Number (no) | 269 |
| Page | pp.pp.- |
| #Pages | 5 |
| Date of Issue | |