Results 31 to 40 of about 334,176 (302)
Mathematics, 2020 The main focus of this study was to develop a numerical scheme with new expressions for interface flux approximations based on the upwind approach in the finite volume method.
Arafat Hussain +2 more
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Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces [PDF]
, 2015 In this paper, a semilocal convergence result in Banach spaces of an efficient fifth-order method is analyzed. Recurrence relations are used in order to prove this convergence, and some a priori error bounds are found.
Torregrosa, null [0000-0002-9893-0761] +3 more
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Two-Step Fifth-Order Efficient Jacobian-Free Iterative Method for Solving Nonlinear Systems
MathematicsThis article introduces a novel two-step fifth-order Jacobian-free iterative method aimed at efficiently solving systems of nonlinear equations. The method leverages the benefits of Jacobian-free approaches, utilizing divided differences to circumvent ...
Alicia Cordero +3 more
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On the convergence of the combination technique [PDF]
, 2013 Sparse tensor product spaces provide an efficient tool todiscretize higher dimensional operator equations. The direct Galerkin method in such ansatz spaces may employ hierarchical bases, interpolets, wavelets or multilevel frames. Besides, an alternative
Griebel, Michael +3 more
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On some computational orders of convergence
Applied Mathematics Letters, 2010 Two variants of the Computational Order of Convergence (COC) of an iterative method for solving nonlinear equations are presented. Furthermore, the way to approximate the COC and the new variants to the local order of convergence is analyzed. The new definitions given here does not involve the unknown root.
Miquel Grau-Sánchez +2 more
openaire +4 more sources
On “A new three-step fixed point iteration scheme with strong convergence and applications” [PDF]
This note delves into the convergence analysis of several iterative methods and elucidates their behaviors. Furthermore, we demonstrate that the findings presented in “A new three-step fixed point iteration scheme with strong convergence and applications”
Rafiq, Arif
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MathematicsWe consider a numerical approximation for stochastic fractional differential equations driven by integrated multiplicative noise. The fractional derivative is in the Caputo sense with the fractional order α∈(0,1), and the non-linear terms satisfy the ...
James Hoult, Yubin Yan
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Statistical Order Convergence and Statistically Relatively Uniform Convergence in Riesz Spaces
Journal of Function Spaces, 2018 A new concept of statistically e-uniform Cauchy sequences is introduced to study statistical order convergence, statistically relatively uniform convergence, and norm statistical convergence in Riesz spaces.
Xuemei Xue, Jian Tao
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Infinitary rewriting: meta-theory and convergence [PDF]
, 2007 When infinitary rewriting was introduced by Kaplan et.al. at the beginning of the 1990s, its term universe was explained as the metric completion of a metric on finite terms.
Kahrs, Stefan
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Three-Step Derivative-Free Method of Order Six
Foundations, 2023 Derivative-free iterative methods are useful to approximate the numerical solutions when the given function lacks explicit derivative information or when the derivatives are too expensive to compute.
Sunil Kumar +3 more
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