Extending the Mesh Independence For Solving Nonlinear Equations Using Restricted Domains

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorSheth, S.M.
dc.contributor.authorYounis, R.M.
dc.contributor.authorMagre n, .A.
dc.contributor.authorGeorge, S.
dc.date.accessioned2020-03-31T08:30:58Z
dc.date.available2020-03-31T08:30:58Z
dc.date.issued2017
dc.description.abstractThe mesh independence principle states that, if Newton s method is used to solve an equation on Banach spaces as well as finite dimensional discretizations of that equation, then the behaviour of the discretized process is essentially the same as that of the initial method. This principle was inagurated in Allgower et al. (SIAM J Numer Anal 23(1):160 169, 1986). Using our new Newton Kantorovich-like theorem and under the same information we show how to extend the applicability of this principle in cases not possible before. The results can be used to provide more efficient programming methods. 2017, Springer (India) Private Ltd.en_US
dc.identifier.citationInternational Journal of Applied and Computational Mathematics, 2017, Vol.3, , pp.1035-1046en_US
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/11237
dc.titleExtending the Mesh Independence For Solving Nonlinear Equations Using Restricted Domainsen_US
dc.typeArticleen_US

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