Presentation | 1998/3/13 A Numerical Method of Proving Existence of Solutions for Nonlinear Ordinary Differential Equations Using Interval Newton Mappings Takao SOMA, Shin'ichi OISHI, Kazuo HORIUCHI, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | In this report, a method is presented to prove existence of exact solutions of nonlinear boundary value problems of ordinary differential equations. Concretely, we define infinite dimensional extension of Interval Newton mapping and show that it is possible to compute the image of Interval Newton mapping numerically. It is also possible to obtain sharp error estimation of approximate solutions. Taking an example, the result of validation are also presented. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | Numerical Computation with Guaranteed Accuracy / Interval Newton Mapping / Ordinary Differential Equations / Interval Analysis |
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Committee | NLP |
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Conference Date | 1998/3/13(1days) |
Place (in Japanese) | (See Japanese page) |
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Topics (in Japanese) | (See Japanese page) |
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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 of Proving Existence of Solutions for Nonlinear Ordinary Differential Equations Using Interval Newton Mappings |
Sub Title (in English) | |
Keyword(1) | Numerical Computation with Guaranteed Accuracy |
Keyword(2) | Interval Newton Mapping |
Keyword(3) | Ordinary Differential Equations |
Keyword(4) | Interval Analysis |
1st Author's Name | Takao SOMA |
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 |
3rd Author's Name | Kazuo HORIUCHI |
3rd Author's Affiliation | School of Science and Engineering, Waseda University |
Date | 1998/3/13 |
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Volume (vol) | vol.97 |
Number (no) | 592 |
Page | pp.pp.- |
#Pages | 6 |
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