Newton-Krylov solvers for time-steppers

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dc.creatorKelley, C. T.
dc.creatorKevrekidis, I. G.
dc.creatorQiao, L.
dc.date2004-04-21
dc.date.accessioned2026-07-07T05:07:36Z
dc.date.available2026-07-07T05:07:36Z
dc.descriptionWe study how the Newton-GMRES iteration can enable dynamic simulators (time-steppers) to perform fixed-point and path-following computations.For a class of dissipative problems, whose dynamics are characterized by a slow manifold, the Jacobian matrices in such computations are compact perturbations of the identity. We examine the number of GMRES iterations required for each nonlinear iteration as a function of the dimension of the slow subspace and the time-stepper reporting horizon. In a path-following computation, only a small number (one or two) of additional GMRES iterations is required.
dc.description14 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math/0404374
dc.identifierhttp://arxiv.org/abs/math/0404374
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70919
dc.subjectDynamical Systems
dc.subject65F10 (Primary), 65H10 (Secondary), 65H17, 65H20, 65L05
dc.titleNewton-Krylov solvers for time-steppers
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