Results 61 to 70 of about 59,206 (285)

Fast Collocation Methods for High-Dimensional Weakly Singular Integral Equations

open access: yesJournal of Integral Equations and Applications, 2008
The authors present a fast multiscale collocation method for solving Fredholm integral equations of the second kind with weakly singular kernels on polyhedral domains in \(\mathbb R^d\). The polyhedral domain is subdivided into a finite number of simplices, and multiscale bases and corresponding collocation functionals are constructed on a uniform self-
Chen, Z., Wu, B., Xu, Y.
openaire   +3 more sources

Fast and accurate solvers for weakly singular integral equations

open access: yesNumerical Algorithms, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Laurence Grammont   +2 more
openaire   +2 more sources

Multimodal Data‐Driven Microstructure Characterization

open access: yesAdvanced 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

Some new weakly singular integral inequalities and their applications to fractional differential equations

open access: yesJournal of Inequalities and Applications, 2016
Some new inequalities with weakly singular integral kernel are developed, which generalize some known inequalities and can be used in the qualitative and quantitative analysis of the solutions to certain fractional differential equations.
Run Xu, Fanwei Meng
doaj   +1 more source

High Mach number limit of one-dimensional piston problem for non-isentropic compressible Euler equations: Polytropic gas

open access: yes, 2019
We study high Mach number limit of the one dimensional piston problem for the full compressible Euler equations of polytropic gas, for both cases that the piston rushes into or recedes from the uniform still gas, at a constant speed.
Qu, Aifang, Yuan, Hairong, Zhao, Qin
core   +1 more source

Triangular functions in solving Weakly Singular Volterra integral equations

open access: yesAdvances in the Theory of Nonlinear Analysis and its Application, 2023
In this paper, we propose the triangular orthogonal functions as a basis functions for solution of weakly singular Volterra integral equations of the second kind. Powerful properties of these functions and some operational matrices are utilized in a direct method to reduce singular integral equation to some algebraic equations. The presented method
Monireh NOSRATİ, Hojjat AFSHARİ
openaire   +2 more sources

Enhanced Strength and Corrosion Resistance of Ti‐13Nb‐12Ta‐10Zr‐4Sn Alloy by Aging Treatment

open access: yesAdvanced Engineering Materials, EarlyView.
This work systematically investigates the effect of aging treatment on mechanical properties and corrosion behavior of vacuum arc‐melted Ti‐13Nb‐12Ta‐10Zr‐4Sn alloy. Owing to the increased α″ martensite, strength and corrosion resistance were significantly enhanced by aging treatment.
Yuhua Li   +5 more
wiley   +1 more source

Smoothness Properties of Solutions of Caputo-Type Fractional Differential Equations [PDF]

open access: yes, 2007
Mathematics Subject Classification: 26A33, 34A25, 45D05, 45E10We consider ordinary fractional differential equations with Caputo-type differential operators with smooth right-hand sides. In various places in the literature one can find the statement that
Diethelm, Kai
core  

Adaptive 2D IGA boundary element methods

open access: yes, 2015
We derive and discuss a posteriori error estimators for Galerkin and collocation IGA boundary element methods for weakly-singular integral equations of the first-kind in 2D.
Feischl, Michael   +3 more
core   +2 more sources

Direct Metal Deposition of Graphene–Ti28Nb35.4Zr Matrix Composites With Enhanced Mechanical, Corrosion, and Biocompatibility Properties for Bone Implants

open access: yesAdvanced Engineering Materials, EarlyView.
Graphene nanoplatelet (0.1 wt.%) reinforcement significantly enhances the performance of β Ti‐28Nb‐35.4Zr alloy. Grain refinement, reduced water contact angle, and improved surface characteristics promote osteoblast adhesion and complete surface coverage after 7 days.
Khurram Munir   +5 more
wiley   +1 more source

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