Results 51 to 60 of about 1,686 (292)
Bernoulli Polynomials Method for Solving Integral Equations with Singular Kernel
مجلة بغداد للعلومThere is always an interest in an effective technique to generate a numerical solution of integral equations with singular or weakly singular kernels more precisely because numerical methods have limitations.
Muna M. Mustafa, Heba A. Abd-Alrazak
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Smoothness of Solutions of Volterra Integral Equations with Weakly Singular Kernels [PDF]
SIAM Journal on Mathematical Analysis, 1971 Differentiability of nonlinear Volterra integral equations of second kind with convolutional weakly singular ...
Miller, Richard K., Feldstein, Alan
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Advanced Engineering Materials, EarlyView.Building machine‐readable vocabularies for materials science is slow, expert‐driven work. This study benchmarks 13 large language models on two of its first steps: finding candidate terms in engineering articles and deciding where they belong in a class hierarchy.
Thomas Bjarsch +3 more
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On the asymptotic behaviour of deterministic and stochastic volterra integro-differential equations [PDF]
, 2007 This thesis examines a question of stability in stochastic and deterministic systems with memory, and involves studying the asymptotic properties of Volterra integro-differential equations.
Devin, Siobhan
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The Numerical Solution of Nonlinear Weakly Singular Volterra Integral Equations [PDF]
, 2021 his thesis is intended to solve Volterra integral equations. More precisely, it focuses on the cases of a weakly singular kernel. These integral equations can be solvable when we use the product integration method that plays an important role.
NEMER, Ahlem
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On Optimization of Direct Methods of Solving Weakly Singular Integral Equations
Journal of Complexity, 1993 The optimization of (adaptive) direct methods for Fredholm-type integral equations with smooth kernels was studied by, e.g., \textit{S. G. Solodky} [Ukr. Mat. Zh. 42, No. 1, 95-102 (1990; M.R. 91f: 65115)] and by \textit{S. V. Perewersew} and \textit{S. G. Solodki} [Optimierung direkter Verfahren für Gleichungen 2.
Sergei V. Pereverzev, Sergei G. Solodky
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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
wiley +1 more source
Journal of Inequalities and Applications, 2019 Some new nonlinear weakly singular integral inequalities of Gronwall–Bellman–Pachpatte type are given. The estimations of unknown functions are obtained by analysis techniques.
Ran Yan, Fanwei Meng
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Advanced Engineering Materials, EarlyView.A two‐dimensional multiscale finite element analysis framework was established for the first‐generation MoSiBTiC alloy, and the mechanical and fracture‐related parameters of the constituent phases were calibrated through experiments and simulations. The framework provides a basis for analyzing crack propagation behavior in its complex microstructure ...
Junfeng Du +4 more
wiley +1 more source
Extrapolation method for solving weakly singular nonlinear Volterra integral equations of the second kind [PDF]
, 2006 Based on a new generalization of discrete Gronwall inequality in [L. Tao, H. Yong, A generalization of discrete Gronwall inequality and its application to weakly singular Volterra integral equality of the second kind, J. Math. Anal. Appl.
Tao, Lü, Yong, Huang
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