Results 81 to 90 of about 701,176 (312)

Chebyshev’s Method for Multiple Zeros of Analytic Functions: Convergence, Dynamics and Real-World Applications

open access: yesMathematics
This paper deals with the convergence and dynamics of Chebyshev’s method for simple and multiple zeros of analytic functions. We establish a local convergence theorem that provides error estimates and exact domains of initial approximations to guarantee ...
Stoyanka G. Kostadinova, Stoil I. Ivanov
doaj   +1 more source

A highly efficient spectral-Galerkin method based on tensor product for fourth-order Steklov equation with boundary eigenvalue

open access: yesJournal of Inequalities and Applications, 2016
In this study, a highly efficient spectral-Galerkin method is posed for the fourth-order Steklov equation with boundary eigenvalue. By making use of the spectral theory of compact operators and the error formulas of projective operators, we first obtain ...
Jing An, Hai Bi, Zhendong Luo
doaj   +1 more source

The human gut microbiome across the life course

open access: yesFEBS Letters, EarlyView.
Despite significant individual variation and continuous change throughout life, the human gut microbiome follows some life stage‐specific trends. This article provides a brief overview of how gut microbiome composition shifts across different phases of life. Created in BioRender. Özkurt, E. (2026) https://BioRender.com/8q4nrnc.
Alise J. Ponsero   +4 more
wiley   +1 more source

General Local Convergence Theorems about the Picard Iteration in Arbitrary Normed Fields with Applications to Super–Halley Method for Multiple Polynomial Zeros

open access: yesMathematics, 2020
In this paper, we prove two general convergence theorems with error estimates that give sufficient conditions to guarantee the local convergence of the Picard iteration in arbitrary normed fields. Thus, we provide a unified approach for investigating the
Stoil I. Ivanov
doaj   +1 more source

Estimation for the Multivariate Errors-in-Variables Model with Estimated Error Covariance Matrix

open access: yesThe Annals of Statistics, 1984
The authors consider the estimation problem of multivariate errors-in- variables models. Let \(r\times 1\) row vectors \(y_ i\) and \(k\times 1\) row vectors \(x_ i\) satisfy \(y_ i=\beta_ 0+x_ i\beta\), \(i=1,2,...,n\), where \(\beta_ 0\) and \(\beta\) are 1\(\times r\) and \(k\times r\) matrices of parameters, respectively.
Amemiya, Yasuo, Fuller, Wayne A.
openaire   +3 more sources

Septin 9 PB domains coordinate centrosome positioning and microtubule acetylation to control epithelial polarity

open access: yesFEBS Letters, EarlyView.
Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai   +4 more
wiley   +1 more source

Error Estimates on Approximating the Finite Fourier Transform of Complex-Valued Functions via a Pre-Grüss Inequality

open access: yes, 2004
Some estimates for the error in approximating the Finite Fourier Transform in terms of exponential means via a pre-Grüss inequality for complex-valued functions are ...
Hanna, George T   +2 more
core  

Modulation of Homer1 EVH1 domain internal dynamics by putative autism‐associated mutations

open access: yesFEBS Letters, EarlyView.
The putative autism‐associated M65I and S97L variants of the EVH1 domain of the postsynaptic scaffold protein Homer1 do not exhibit substantial changes in their overall structure or partner binding. Both of them, but especially the M65I variant, show altered internal dynamics relative to the wild‐type domain on the μs‐ms timescale, indicated by the ...
Fanni Farkas   +6 more
wiley   +1 more source

A posteriori error estimates and adaptive methods for incompressible viscous flow problems

open access: yes, 2022
This thesis is focused on the development and numerical justification of a modern computational methodology that provides guaranteed upper bounds of the energy norms of an error.
Gorshkova, Elena
core   +1 more source

An unexpected alternative viologen electron mediator site in tungsten‐containing formate dehydrogenase

open access: yesFEBS Letters, EarlyView.
An unexpected alternative interaction site for ethyl viologen was identified in formate dehydrogenase 1 from Methylorubrum extorquens. Combined mutagenesis, kinetic analysis, and docking revealed that aromatic residues near an iron–sulfur cluster enable flavin mononucleotide‐independent electron transfer, offering a framework for engineering improved ...
Eleni G. Poloniataki, Yong Hwan Kim
wiley   +1 more source

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