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- W2022974730 abstract "In this paper, localized patterns of the quintic Swift–Hohenberg equation are studied. A numerical verification method with the Conley index theory developed in Zgliczyński 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." @default.
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- W2022974730 date "2007-02-01" @default.
- W2022974730 modified "2023-09-26" @default.
- W2022974730 title "An efficient estimate based on FFT in topological verification method" @default.
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- W2022974730 doi "https://doi.org/10.1016/j.cam.2005.08.036" @default.
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