オガワ　トシユキ   OGAWA Toshiyuki   小川　知之    所属   明治大学  総合数理学部    職種   専任教授
言語種別	日本語
発行・発表の年月	2007/02
形態種別	学術雑誌
査読	査読あり
標題	An efficient estimate based on FFT in topological verification method
執筆形態	共著(筆頭者以外)
掲載誌名	Journal of Computational and Applied Mathematics
掲載区分	国外
巻・号・頁	199,238-244頁
著者・共著者	Yasuaki Hiraoka, Toshiyuki Ogawa
概要	In this paper, localized patterns of the quintic Swift-Hohenberg equation are studied. A numerical verification method with the Conley index theory developed in Zgliczy?ski and Mischaikow [Rigorous numerics for partial differential equations: the Kuramoto-Sivashinsky equation, Found. Comput. Math. 1 (2001) 255-288] is used in order to prove these patterns. A new technique to efficiently obtain estimates for nonlinear terms is presented. The key idea is based on the pseudo-spectral method. It is shown that this technique is inevitable for the verification of the localized patterns. ? 2005 Elsevier B.V. All rights reserved.
DOI	10.1016/j.cam.2005.08.036
ISSN	03770427
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