Results 21 to 30 of about 12,190,958 (163)
Unified Convergence Analysis of Two-Step Iterative Methods for Solving Equations
European Journal of Mathematical Analysis, 2021 In this paper we consider unified convergence analysis of two-step iterative methods for solving equations in the Banach space setting. The convergence order four was shown using Taylor expansions requiring the existence of the fifth derivative not on ...
Ioannis K. Argyros
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Mathematics, 2023 In recent years, some Newton-type schemes with noninteger derivatives have been proposed for solving nonlinear transcendental equations by using fractional derivatives (Caputo and Riemann–Liouville) and conformable derivatives.
Giro Candelario +3 more
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Linear stationary iterative methods for the force-based quasicontinuum approximation [PDF]
, 2012 Force-based multiphysics coupling methods have become popular since they provide a simple and efficient coupling mechanism, avoiding the difficulties in formulating and implementing a consistent coupling energy.
Luskin, Mitchell Barry +1 more
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A Family of Newton Type Iterative Methods for Solving Nonlinear Equations
Algorithms, 2015 In this paper, a general family of n-point Newton type iterative methods for solving nonlinear equations is constructed by using direct Hermite interpolation.
Xiaofeng Wang +4 more
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Convergence of iterative methods for multiple zeros
, 2021 Capítulo del libro "Contemporary study of iterative methods: convergence, dynamics and applications"In this chapter we study the convergence, as well as the dynamics, of some high order family of iterative ...
Argyros, Ioannis K +1 more
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Construction and analysis of high-density linkage map using high-throughput sequencing data. [PDF]
PLoS ONE, 2014 Linkage maps enable the study of important biological questions. The construction of high-density linkage maps appears more feasible since the advent of next-generation sequencing (NGS), which eases SNP discovery and high-throughput genotyping of large ...
Dongyuan Liu +14 more
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Iterative methods for the force-based quasicontinuum approximation : analysis of a 1D model problem [PDF]
, 2011 Force-based atomistic-continuum hybrid methods are the only known pointwise consistent methods for coupling a general atomistic model to a finite-element continuum model.
Luskin, Mitchell Barry +7 more
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AIMS Mathematics, 2023 <abstract><p>A new eighth-order Chebyshev-Halley type iteration is proposed for solving nonlinear equations and matrix sign function. Basins of attraction show that several special cases of the new method are globally convergent. It is analytically proven that the new method is asymptotically stable and the new method has the order of ...
Xiaofeng Wang, Ying Cao
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Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations [PDF]
, 1991 Elsner L, Mehrmann V. Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations. Numerische Mathematik.
Mehrmann, Volker, Elsner, Ludwig
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Some Fourth Order Multipoint Iterative Methods for Solving Equations [PDF]
Mathematics of Computation, 1966 tion errors of the difference method. Moreover, any error introduced in the nuinerical solution of y' 15 exp [15t] will be damped by exp [14t] in the substitution into (y, t) = y exp [-14t]. Tables 1, 2, 3, and 4 give comparisons of relative errors in the numerical solution of x' 15et 14x obtained by direct integration, versus the solution obtained by ...
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