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Article Citation - Scopus: 236Some New Variants of Newton's Method(Elsevier Ltd, 2004) Özban,A.Y.Some new variants of Newton's method based on harmonic mean and midpoint integration rule have been developed and their convergence properties have been discussed. The order of convergence of the proposed methods are three. In addition to numerical tests verifying the theory, a comparison of the results for the proposed methods and some of the existing ones have also been given. © 2004 Elsevier Ltd. All rights reserved.Conference Object Citation - Scopus: 8Simulation of Incremental Sheet Forming Using Partial Sheet Models(Elsevier Ltd, 2017) Memicoglu,P.; Music,O.; Karadogan,C.Academic and industrial interest in flexible forming has grown rapidly over the last two decades, leading to a large volume of research in this area. However, despite this interest, numerical modelling of the process is still challenging and the mechanics of the process is not yet fully understood. This paper presents fast numerical models for Incremental Sheet Forming. The models are shown to reduce computational time by up to 24 times, with a maximum shape error of 8%. The results suggest that the approach could be used to model process within acceptable time, and could be potentially used to explore the process in more detail using solid (brick) elements.Article Citation - Scopus: 3Instability Intervals of a Hill's Equation With Piecewise Constant and Alternating Coefficient(Elsevier Ltd, 2004) Guseinov,G.Sh.; Karaca,I.Y.In this paper, we obtain asymptotic formulas for eigenvalues of the periodic and the semiperiodic boundary value problems associated with a Hill's equation having piecewise constant and alternating coefficient. As a corollary, it is shown that the lengths of instability intervals of the considered Hill's equation tend to infinity. © 2004 Elsevier Ltd. All rights reserved.
