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dc.contributor.authorArgyros, I.K.
dc.contributor.authorSheth, S.M.
dc.contributor.authorYounis, R.M.
dc.contributor.authorGeorge, S.
dc.date.accessioned2020-03-31T08:45:39Z-
dc.date.available2020-03-31T08:45:39Z-
dc.date.issued2016
dc.identifier.citationPanamerican Mathematical Journal, 2016, Vol.26, 4, pp.44-56en_US
dc.identifier.urihttp://idr.nitk.ac.in/jspui/handle/123456789/13344-
dc.description.abstractWe present a new asymptotic mesh independence principle of Newton's method for discretized nonlinear operator equations. Our hypotheses are weaker than in earlier studies such as [1], [8]-[12]. This way we extend the applicability of the mesh independence principle which asserts that the behavior of the discretized version is asymptotically the same as that of the original iteration and consequently, the number of steps required by the two processes to converge within a given tolerance is essentially the same. The results apply to solve a boundary value problem that cannot be solved with the earlier hypotheses given in [12]. 2016 International Publications. All rights reserved.en_US
dc.titleThe asymptotic mesh independence principle of Newton's method under weaker conditionsen_US
dc.typeArticleen_US
Appears in Collections:1. Journal Articles

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