Results 51 to 60 of about 2,673,333 (280)

Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices [PDF]

, 2011
A uniform bound on the 1-norm is given for the inverse of a lower triangular Toeplitz matrix with non-negative monotonically decreasing entries whose limit is zero. The new bound is sharp under certain specified constraints.
Yuan, Y.X., Liu, X., McKee, S., Yuan, J.Y.   +3 more
core   +4 more sources

Estimation of unknown function of nonlinear weakly singular integral inequalities of Gronwall–Bellman–Pachpatte type

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
doaj   +1 more source

ON THE ARONSZAJN PROPERTY FOR AN INTEGRAL EQUATION WITH WEAKLY SINGULAR KERNEL

Demonstratio Mathematica, 2004
The author proves that, for Banach spaces \(E\), \(F\) and \(D=[0,d]\), under suitable conditions on \(p\in C(D,E)\), \(f:D\times E\rightarrow F\), \( K(t,s)=H(t,s)/(t-s)^{r}\) with \(H:\{(t,s):0\leq s\leq t\leq d\}\rightarrow \mathcal{L}(F,E)\) continuous and ...
openaire   +2 more sources

Ontology‐Aligned Structuring and Reuse of Multimodal Materials Data and Workflows Toward Automatic Reproduction

Advanced Engineering Materials, EarlyView.
Reproduction of stacking fault energy calculations from literature with a semi‐automated large language model‐assisted extraction procedure: extraction of simulation protocol, atomistic structures, computational parameters, and reported results, ontology alignment, knowledge graph construction and, finally, recomputation forvalidation.
Sepideh Baghaee Ravari, Abril Azocar Guzman, Sarath Menon, Stefan Sandfeld, Tilmann Hickel, Markus Stricker   +5 more
wiley   +1 more source

Some New Nonlinear Weakly Singular Integral Inequalities of Wendroff Type with Applications

Journal of Inequalities and Applications, 2008
Some new weakly singular integral inequalities of Wendroff type are established, which generalized some known weakly singular inequalities for functions in two variables and can be used in the analysis of various problems in the theory of certain classes
Ma Qing-Hua, Tseng Shiojenn, Cheung Wing-Sum   +2 more
doaj  

analysis of Product Integration Methods for a Class of Singular Volterra Integral Equations

Trends in Computational and Applied Mathematics, 2000
The construction and analysis of high order numerical methods for Volterra integral equations with a certain weakly singular kernel have been investigated in [6], under the assumption the the solution is sufficiently smooth.
T. Diogo, P. Lima, N.B. Franco
doaj   +1 more source

Microstructure Modification of Additively Manufactured Mo–9Si–8B by Annealing and Its Effects on High‐Temperature Mechanical Properties

Advanced Engineering Materials, EarlyView.
Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt, Yong Chen, Georg Hasemann, Benjamin Wahlmann, Carolin Körner, Manja Krüger   +5 more
wiley   +1 more source

Henry-Gronwall Integral Inequalities with “Maxima” and Their Applications to Fractional Differential Equations

Abstract and Applied Analysis, 2014
Some new weakly singular Henry-Gronwall type integral inequalities with “maxima” are established in this paper. Applications to Caputo fractional differential equations with “maxima” are also presented.
Phollakrit Thiramanus, Jessada Tariboon, Sotiris K. Ntouyas   +2 more
doaj   +1 more source

Spectral Collocation Methods for Fractional Integro-Differential Equations with Weakly Singular Kernels

Journal of Mathematics, 2022
In this paper, we propose and analyze a spectral approximation for the numerical solutions of fractional integro-differential equations with weakly kernels.
Xiulian Shi
doaj   +1 more source

Shifted Fractional-Order Jacobi Collocation Method for Solving Variable-Order Fractional Integro-Differential Equation with Weakly Singular Kernel

Fractal and Fractional, 2021
We propose a fractional-order shifted Jacobi–Gauss collocation method for variable-order fractional integro-differential equations with weakly singular kernel (VO-FIDE-WSK) subject to initial conditions.
Mohamed A. Abdelkawy, Ahmed Z. M. Amin, António M. Lopes, Ishak Hashim, Mohammed M. Babatin   +4 more
doaj   +1 more source