Results 81 to 90 of about 331 (256)
Oscillation Criteria for Matrix Hamiltonian Systems via the Summability Method
Rocky Mountain Journal of Mathematics, 2009 By using the summability method and Riccati transformation, the author studies the oscillation of the following linear matrix Hamiltonian system \[ \begin{cases} X'=A(t)X+B(t)U,\\ U'=C(t)X-A^{*}(t)U, \;t\geq0. \end{cases} \] Some new oscillation criteria are established, which improve and generalize some known results of \textit{G. J. Butler, H.
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On the study of double Fourier series by double matrix summability method
Tamkang Journal of Mathematics, 2003 In this paper a new theorem on double matrix summability of double Fourier series has been established. This theorem is a generalization of several known and unknown results.
Lal, Shyam, Tripathi, Virendra Nath
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ORDINARY, ABSOLUTE AND STRONG SUMMABILITY AND MATRIX TRANSFORMATIONS
, 2014 . Many important sequence spaces arise in a natural way from various concepts of summability, namely ordinary, absolute and strong summability. In the first two cases they may be considered as the domains of the matrices that define the respective ...
Abdullah M. Jarrah, Eberhard Malkowsky
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Advanced Engineering Materials, EarlyView.Phase‐field simulations coupled with dislocation‐density‐based crystal plasticity modeling reproduce γ′ rafting behavior in single‐crystal Ni‐based superalloys under varied loading conditions. The model captures both macroscopic creep and microscopic morphology evolution, with results matching high‐temperature creep experiments.
Micheal Younan +5 more
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Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
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The effects of matrix summability methodson bounds of function sequences
Applied Mathematics Letters, 2004 Let \(A\) be an infinite matrix, \(\mathcal{F}\) a space of function sequences, \(A\mathcal{F} := \sum_{k = 1}^{\infty}a_{nk}f_k(x)\). The symbol \(G(\mathcal{F}; D)\) denotes the least upper bound of the element \(f_n(x)\) over the subset \(D\). \textit{R. P. Agnew} [Trans. Am. Math. Soc.
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Multimodal Data‐Driven Microstructure Characterization
Advanced Engineering Materials, EarlyView.A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang +4 more
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Matrix Transforms of Summability Domains of Zweier Method
Journal of Advances in Applied & Computational Mathematics, 2018 Let Z1/2 be the Zweier method, and B and M matrices with real or complex entries. In the present paper, we find necessary and sufficient conditions for M to be transform from the summability domain of Z1/2 into the summability domain of B if B is lower triangular. For an infinite matrix B, we consider only sufficient conditions.
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Matrix Transformations Based on Dirichlet Convolution
, 1997 This paper is a study of summability methods that are based on Dirichlet convolution. If f(n) is a function on positive integers and x is a sequence such that then x is said to be Af-summable to L.
Suguna Selvaraj, Chikkanna Selvaraj
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