Title: Newton-Picard methods with subspace iteration for computing periodic solutions of partial differential equations
Authors: Lust, Kurt ×
Roose, Dirk #
Issue Date: 1996
Publisher: Akademie verlag gmbh
Series Title: Zeitschrift fur angewandte mathematik und mechanik vol:76 pages:605-606
Abstract: In this paper, we present a new method to compute both stable and unstable periodic solutions of large-scale systems efficiently, based on the ideas of [5]. By combining shooting and straightforward time integration, we exploit the fact that many systems only have low-dimensional dynamical behaviour. Good estimates for the dominant, stability-determining Floquet multipliers are obtained at no extra coat. The number of time integrations needed to achieve a given accuracy is shown to be fully determined by the system's dynamics and thus independent of the number of degrees of freedom.
ISSN: 0044-2267
Publication status: published
KU Leuven publication type: IT
Appears in Collections:NUMA, Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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