Extending the applicability of Newton's method using nondiscrete induction [PDF]
, 2013 summary:We extend the applicability of Newton's method for approximating a solution of a nonlinear operator equation in a Banach space setting using nondiscrete mathematical induction concept introduced by Potra and Pták.
Argyros, Ioannis K., Hilout, Saïd
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On enclosing simple roots of nonlinear equations
, 1993 In this paper we present two efficient algorithms for enclosing a simple root of the nonlinear equation f ( x ) = 0 f(x) = 0 in the interval [a, b].
F. A. Potra, Yixun Shi, G. Alefeld
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Type curve interpretation of late-time pumping test data in randomly heterogeneous aquifers
, 2007 The properties of heterogeneous media vary spatially in a manner that can seldom be described with certainty. It may, however, be possible to describe the spatial variability of these properties in terms of geostatistical parameters such as mean ...
Thomas Ptak +15 more
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Modified Potra-Pták multi-step schemes with accelerated order of convergence for solving sistems of nonlinear equations [PDF]
, 2019 [EN] In this study, an iterative scheme of sixth order of convergence for solving systems of nonlinear equations is presented. The scheme is composed of three steps, of which the first two steps are that of third order Potra-Ptak method and last is ...
Torregrosa Sánchez, Juan Ramón +2 more
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Five loaves and two fishes : an empirical study in psychological type and biblical hermeneutics among Anglican preachers [PDF]
, 2010 The sensing, intuition, feeling and thinking (SIFT) method of biblical hermeneutics and liturgical preaching has its roots in three fields: a theology of individual differences situated within the doctrine of creation, an application of Jungian ...
Leslie J. Francis +2 more
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Expanding the applicability of the Secant method under weaker conditions
, 2017 We present a new semilocal convergence analysis for Secant method in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting.
Argyros, Ioannis K +1 more
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, 2010 We introduce the new idea of recurrent functions to provide a semilocal convergence analysis for an inexact Newton-type method, using outer inverses.
Saïd Hilout +3 more
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What happened to the fig tree? : an empirical study in psychological type and biblical hermeneutics [PDF]
, 2012 The SIFT method of biblical hermeneutics and liturgical preaching has its roots in Jungian psychological type theory and maintains that the reading and interpretation of text is shaped by individual preferences within the perceiving process (sensing and ...
Francis, Leslie J.
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Comparison of higher order iterative methods in solving nonlinear equations / Muhammad Syafiq Salleh [PDF]
This study explores the effectiveness of five higher-order iterative techniques for solving nonlinear equations which are Newton method, Jarratt method, Frontini and Sormani method, Potra and Ptak method, and Weerakoon and Fernando method.
Salleh, Muhammad Syafiq
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The method of fundamental solutions for Helmholtz-type problems [PDF]
, 2013 The purpose of this thesis is to extend the range of application of the method fundamental solutions (MFS) to solve direct and inverse geometric problems associated with two- or three-dimensional Helmholtz-type equations.
Bin-Mohsin, Bandar Abdullah
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