An efficient estimate based on FFT in topological verification method

DOI10.1016/j.cam.2005.08.036zbMath1109.65110OpenAlexW2022974730MaRDI QIDQ861877

Toshiyuki Ogawa, Yasuaki Hiraoka

Publication date: 2 February 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.08.036

zbMATH Keywords

numerical examplesbifurcationpseudo-spectral methodnumerical verificationfast Fourier transform (FFT)conley indexquintic Swift-Hohenberg equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Numerical methods for discrete and fast Fourier transforms (65T50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Index theory for dynamical systems, Morse-Conley indices (37B30) Bifurcations in context of PDEs (35B32) Numerical bifurcation problems (65P30) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50)

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Efficient and generic algorithm for rigorous integration forward in time of dPDEs. I ⋮ Validated continuation over large parameter ranges for equilibria of PDEs

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