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Items from 1 to 20 out of 420 results

article

A fully parametric weight function for inclined edge cracks with a kink

M. Benedetti, V. Fontanari, B.D. Monelli, M. Beghini, more

Engineering Fracture Mechanics > 2015 > 136 > Complete > 195-212

A fully parametric weight function (WF) is proposed for determining the stress intensity factors (SIFs) of an inclined edge crack carrying a terminal kink. The WF can evaluate with accuracy better than 0.4% the SIFs for cracks with initial inclination angle in the range [-60 ^o ,60 ^o ], kinking angle in the range [-90 ^o ,90 ^o ], and the ratio of kinked-to-initial-crack-length...

article

Blow up of fractional Schrödinger equations on manifolds with nonnegative Ricci curvature

Huali Zhang, Shiliang Zhao

Mathematical Methods in the Applied Sciences > 47 > 13 > 10772 - 10785

In this paper, the well‐posedness of Cauchy's problem of fractional Schrödinger equations with a power‐type nonlinearity on n‐dimensional manifolds with nonnegative Ricci curvature is studied. Under suitable volume conditions, the local solution with initial data in

H^{[\frac{n}{2}] + 1}

will blow up in finite time no matter how small the initial data is, which follows from a new weight function and ODE inequalities...

article

Solution of fractional integro-differential equations using least squares and shifted legendre methods

Amr M.S. Mahdy, Abbas S. Nagdy, Doaa Sh. Mohamed

Journal of Applied Mathematics and Computational Mechanics > 2024 > Vol. 23, nr 1 > 59-70

In recent years, fractional calculus (FC) has filled in a hole in traditional calculus in terms of the effect of memory, which lets us know things about the past and present and guess what will happen in the future. It is very important to have this function, especially when studying biological models and integral equations. This paper introduces developed mathematical strategies for understanding...

article

A new family of high‐order triangular weight functions for mass lumping in vibration analysis

Huo Fan, Duruo Huang, Gang Wang

International Journal for Numerical Methods in Engineering > 124 > 17 > 3796 - 3833

In the conventional finite element method, only a few types of elements can directly use the weight functions to generate a proper, diagonally lumped mass matrix (LMM), which satisfies mass conservation and positive definiteness. This study proposes a new set of weight functions that can be efficiently constructed and used for generating a proper LMM based on classical 6‐, 9‐, and 10‐node triangular...

article

Multiple hypothesis screening using mixtures of non‐local distributions with applications to genomic studies

Francesco Denti, Stefano Peluso, Michele Guindani, Antonietta Mira

Statistics in Medicine > 42 > 12 > 1931 - 1945

The analysis of large‐scale datasets, especially in biomedical contexts, frequently involves a principled screening of multiple hypotheses. The celebrated two‐group model jointly models the distribution of the test statistics with mixtures of two competing densities, the null and the alternative distributions. We investigate the use of weighted densities and, in particular, non‐local densities as...

article

Measure inducing classification and regression trees for functional data

Edoardo Belli, Simone Vantini

Statistical Analysis and Data Mining: The ASA Data Science Journal > 15 > 5 > 553 - 569

We propose a tree‐based algorithm (μCART) for classification and regression problems in the context of functional data analysis, which allows to leverage measure learning and multiple splitting rules at the node level, with the objective of reducing error while retaining the interpretability of a tree. For each internal node, our main contribution is the idea of learning a weighted functional

L^{2}

space...

article

Machine learning‐based efficient stress intensity factor calculation for aeroengine disk probabilistic risk assessment under polynomial stress fields

Tongge Xu, Shuiting Ding, Huimin Zhou, Guo Li

Fatigue & Fracture of Engineering Materials & Structures > 45 > 2 > 451 - 465

In probabilistic failure risk assessment, the accuracy and efficiency of the stress intensity factor calculation are important. The universal weight function method has been widely adopted for efficiency, but this method still has some debatable parts. For accurate and efficient stress intensity factor prediction, two approaches for machine learning techniques are specially designed. Three tests are...

article

On the prediction of fatigue crack growth based on weight functions in residual stress fields induced by laser shock peening and laser heating

Nikolai Kashaev, Sören Keller, Peter Staron, Emad Maawad, more

Fatigue & Fracture of Engineering Materials & Structures > 44 > 12 > 3463 - 3481

This study deals with fatigue crack growth prediction for thin sheet AA2024 specimens with residual stresses introduced through laser shock peening and laser heating treatments. Different weight functions are used to calculate the stress intensity factor due to the presence of residual stresses. A superposition principle is used by calculating the total stress intensity factor considering the applied...

article

Some orthogonal polynomials on the finite interval and Gaussian quadrature rules for fractional Riemann‐Liouville integrals

Gradimir V. Milovanović

Mathematical Methods in the Applied Sciences > 44 > 1 > 493 - 516

Inspired with papers by Bokhari, Qadir, and Al‐Attas (2010) and by Rapaić, Šekara, and Govedarica (2014), in this paper we investigate a few types of orthogonal polynomials on finite intervals and derive the corresponding quadrature formulas of Gaussian type for efficient numerical computation of the left and right fractional Riemann‐Liouville integrals. Several numerical examples are included to...

article

Highly accurate GaN HEMT model based on the Angelov model with error compensation

Ziyue Zhao, Yang Lu, Hengshuang Zhang, Chupeng Yi, more

Microwave and Optical Technology Letters > 62 > 11 > 3505 - 3513

With the development of the microelectronics, circuit design has become more and more important. In order to improve the accuracy of circuit design, it is necessary to improve the accuracy of the circuit model. This letter proposes an accurate method based on the Angelov model of the Gallium Nitride (GaN) high electron mobility transistors (HEMTs). For Angelov model, the fitting of DC curve is critically...

article

On some new Hardy‐type inequalities

Bouharket Benaissa, Mehmet Zeki Sarikaya, Abdelkader Senouci

Mathematical Methods in the Applied Sciences > 43 > 15 > 8488 - 8495

In this paper, we give some new types of the classical Hardy integral inequality by including a second parameter q and using weighted mean operators

S_{1} : = {(S_{1})}_{g}^{w}

and

S_{2} : = {(S_{2})}_{g}^{w}

defined by with where w is a weight function and g is a real continuous function on (0,+∞).

article

Wide‐range and accurate mixed‐mode weight functions and stress intensity factors for cracked discs

Wu Xu, Danyu Rao, Xueren Wu, Dihua Tong, more

Fatigue & Fracture of Engineering Materials & Structures > 43 > 5 > 1022 - 1037

The Wu‐Carlsson displacement‐based weight function method is extended to obtain the mode I and mode II weight functions for the edge‐ and centre‐cracked discs. Compared with Fett's direct adjustment weight functions for the edge‐cracked discs, the present weight functions are more accurate and are applicable for a wider range of crack lengths. Using the present weight functions, extensive and highly...

article

Equivalent properties of a reverse half-discrete Hilbert’s inequality

Ai-zhen Wang, Bi-cheng Yang, Qiang Chen

Journal of Inequalities and Applications > 2019 > 2019 > 1 > 1-12

By using the weight functions, the idea of introduced parameters and the Euler–Maclaurin summation formula, a reverse half-discrete Hilbert’s inequality with the homogeneous kernel and the reverse equivalent forms are given (for p<0 ${p<0}$, 0<q<1 ${0< q<1}$). The equivalent statements of the best possible constant factor related to a few parameters are considered. As applications,...

article

Some Spaces of Harmonic Functions in the Unit Ball of ℝⁿ

A. I. Petrosyan

Lobachevskii Journal of Mathematics > 2019 > 40 > 8 > 1132-1136

We introduce the Banach spaces h_∞(ϕ), h₀(ϕ) and h¹(ψ) functions harmonic in the unit ball B ⊂ ℝⁿ. These spaces depend on weight functions ϕ, ψ. We prove that if ϕ and ψ form a normal pair, then h¹(ψ)* ∼ h_∞(ϕ) and h₀(ϕ)* ∼ h¹(ψ).

article

The application of the meshless local Petrov-Galerkin method for the analysis of heat conduction and residual stress due to welding

Ali Moarrefzadeh, Shahram Shahrooi, Mahdi Jalali Azizpour

The International Journal of Advanced Manufacturing Technology > 2019 > 104 > 1-4 > 723-742

The structural analysis of welding based on the thermal-elastic-plastic finite element method can lead to acceptable accuracy for the short time of welding. But if the welding time is long and the thermal source is moving, problems arise in the analysis due to the mesh re-generation. In this paper, in order to overcome the weak points of the finite element method, the meshless local Petrov-Galerkin...

article

A partition function for atoms and bonds in molecules

Ibrahim E. Awad, Raymond A. Poirier

Theoretical Chemistry Accounts > 2019 > 138 > 6 > 1-18

A new weight function is proposed to work with the atoms and bonds in molecules theory. The molecular radial electron density ($$\rho _{\mathrm{rad}}{({\mathbf {r}} )}$$ ρrad(r) ) and bond electron density ($$\rho ^{A-B}{({\mathbf {r}} )}$$ ρA-B(r) ) are visually illustrated using the proposed weight. The molecular properties including the total number of electrons, the electron–nuclear potential...

article

New Weight Function for Adapting Handover Margin Level over Contiguous Carrier Aggregation Deployment Scenarios in LTE-Advanced System

Ibraheem Shayea, Mahamod Ismail, Rosdiadee Nordin, Mustafa Ergen, more

Wireless Personal Communications > 2019 > 108 > 2 > 1179-1199

In this paper, an Adaptive Handover Margin algorithm based on Novel Weight Function (AHOM-NWF) is proposed through Carrier Aggregation operation in Long Term Evolution—Advanced system. The AHOM-NWF algorithm automatically adjusts the Handover Margin level based on three functions, $$f(SINR), \; f(TL)\; {\text{and}}\; f(v)$$ f ( S I N R ) , f ( T L ) and f ( v ) , which are evaluated as functions...

article

Weighted Estimates for a Class of Quasilinear Integral Operators

A. A. Kalybay

Siberian Mathematical Journal > 2019 > 60 > 2 > 291-303

We establish the criteria of validity of some integral weighted inequalities for a class of quasilinear integral operators.

article

A Hilbert-type integral inequality under configuring free power and its applications

Qiong Liu

Journal of Inequalities and Applications > 2019 > 2019 > 1 > 1-11

By using the method of weight function, the technique of real analysis, and the theory of special functions, a multi-parameter Hilbert-type integral inequality and its equivalent form are established, and their constant factors are proved to be the best possible. The expressions of operator with norm are given. As an application, relevant results in the references and some new inequalities are obtained...

article

A Note on Extraction of Orthogonal Polynomials from Generating Function for Reciprocal of Odd Numbers

Gradimir V. Milovanović

Indian Journal of Pure and Applied Mathematics > 2019 > 50 > 1 > 15-22

Motivated by a recent paper by Shashikala [Indian J. Pure Appl. Math. 48 (2) (2017), 177-185] on the extraction four sequences of orthogonal polynomials from generating function from reciprocal of odd numbers, in this note we identify the weight functions and the intervals of orthogonality of these sequences of polynomials. Two of these sequences can be expressed in terms of particular Jacobi polynomials...

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STRESS INTENSITY FACTOR (71)
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FATIGUE CRACK GROWTH (12)
HILBERT-TYPE INTEGRAL INEQUALITY (12)
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FUNCTIONALLY GRADED MATERIAL (4)
GAMMA FUNCTION (4)
HYBRIDIZATION (4)
HÖLDER'S INEQUALITY (4)
IMAGE RECONSTRUCTION (4)
INCLINED KINKED EDGE CRACK (4)
INTERPOLATION (4)
LÉVY’S THEOREM (4)
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Search results

A fully parametric weight function for inclined edge cracks with a kink

Blow up of fractional Schrödinger equations on manifolds with nonnegative Ricci curvature

Solution of fractional integro-differential equations using least squares and shifted legendre methods

A new family of high‐order triangular weight functions for mass lumping in vibration analysis

Multiple hypothesis screening using mixtures of non‐local distributions with applications to genomic studies

Measure inducing classification and regression trees for functional data

Machine learning‐based efficient stress intensity factor calculation for aeroengine disk probabilistic risk assessment under polynomial stress fields

On the prediction of fatigue crack growth based on weight functions in residual stress fields induced by laser shock peening and laser heating

Some orthogonal polynomials on the finite interval and Gaussian quadrature rules for fractional Riemann‐Liouville integrals

Highly accurate GaN HEMT model based on the Angelov model with error compensation

On some new Hardy‐type inequalities

Wide‐range and accurate mixed‐mode weight functions and stress intensity factors for cracked discs

Equivalent properties of a reverse half-discrete Hilbert’s inequality

Some Spaces of Harmonic Functions in the Unit Ball of ℝⁿ

The application of the meshless local Petrov-Galerkin method for the analysis of heat conduction and residual stress due to welding

A partition function for atoms and bonds in molecules

New Weight Function for Adapting Handover Margin Level over Contiguous Carrier Aggregation Deployment Scenarios in LTE-Advanced System

Weighted Estimates for a Class of Quasilinear Integral Operators

A Hilbert-type integral inequality under configuring free power and its applications

A Note on Extraction of Orthogonal Polynomials from Generating Function for Reciprocal of Odd Numbers

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