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# Numerics - Science topic

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Publications related to Numerics (10,000)

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The two-dimensional numerical simulations using unsteady Reynolds-averaged Navier-Stokes are performed to investigate the aerodynamic performance of SD7062 airfoil with a 0.30 single-slotted flap at cruise, takeoff, and landing conditions for various angles of attack corresponding to pre-and post-stall regimes. The time-averaged aerodynamic charact...

In this paper, we propose and discuss a new higher-order four-step iterative method for solving nonlinear equations for the first time. This method is based on Newton, Halley, Householder and Steffensen iterative methods using predictor-corrector technique. The convergence analysis of our method is discussed. The new method has 36th-order convergen...

In this work, we study the interplay of ordered relation and the structure of the convex metric space on which it is defined: First, we show when a convex metric space is isomorphic with a convex subset of some vector space. Second, we obtain conditions for a representation of a preference relation on a convex metric space.

We present a novel implicit scheme for the numerical solution of time-dependent conservation laws. The core idea of the presented method is to exploit and approximate the mixed spatial-temporal derivative of the solution that occurs naturally when deriving some second order accurate schemes in time. Such an approach is introduced in the context of...

In this paper, we study a modified relaxed inertial Mann-type iterative algorithm for solving split monotone variational inclusion problem without prior knowledge of the bounded linear operator norm in real Hilbert spaces. Under some appropriate assumptions on the parameters, we established a strong convergence result of the proposed algorithm. As...

Model updating improves the correlation between the response of the real structure and the response of the finite-element (FE) model; however, the selection of the updating parameters (parametrization) is crucial for its success. Using full-field modal shapes, a large number of parameters can be updated, e.g., the Young’s moduli of all the finite e...

One of the most efficient methods for model compression is hint distillation, where the student model is injected with information (hints) from several different layers of the teacher model. Although the selection of hint points can drastically alter the compression performance, conventional distillation approaches overlook this fact and use the sa...

Let A⊂Z be a finite subset. We denote by B(A) the set of all integers n≥2 such that |nA|>(2n-1)(|A|-1), where nA=A+⋯+A denotes the n-fold sumset of A. The motivation to consider B(A) stems from Buchweitz’s discovery in 1980 that if a numerical semigroup S⊆N is a Weierstrass semigroup, then B(N\S)=∅. By constructing instances where this condition fa...

In this paper, we introduce a new iteration scheme, named as the S**-iteration scheme, for approximation of fixed points of Suzuki's generalized non-expansive mappings. We also put forward some weak and strong convergence theorems for Suzuki's generalized non-expansive mappings in the setting of uniformly convex Banach spaces. We prove the stabilit...

This paper was published in Numerical Algebra, Control and Optimization. In this work, we propose a new inertial method for solving strongly monotone variational inequality problems over the solution set of a split variational inequality and composed fixed point problem in real Hilbert spaces. Our method uses stepsizes that are generated at each it...

Thin-walled cylindrical shell is a fundamental engineering structure which has efficient load-carrying capacity. In practical application, this structure is more easily subjected to localized axial compression loads and is prone to buckling. However, until now there is only limited studies on the buckling problems of multi-region localized axial co...

The stability of steel columns strengthened using bolted components under a preload (the existing load during the strengthening process) is studied. An analytical model that considers the effects of the preload and bolting is proposed. The preload effect is expressed as the combined effect of equivalent initial deformation and stresses, based on wh...

The solutions of a forced gyroscopic system of ODEs may undergo large oscillations whenever some eigenvalues of the corresponding quadratic eigenvalue problem (QEP) (λ2M+λG+K)v=0,0≠v∈ℂn, are close to the frequency of the external force (both M,K are symmetric, M is positive definite, K is definite and G is skew-symmetric). This is the phenomenon of...

The main aim of this paper is to investigate the effect of nozzle geometry on the flow and heat transfer from a pulsed jet into a concave surface. Experiments have been carried out for pulsed circular jet and numerical simulations were done for circular, elliptical, rectangular and square geometries. Numerical solution was performed for the frequen...

In this paper, the gentlest ascent dynamics (GAD) developed in W. E and X. Zhou (2011) [21] is extended to a constrained gentlest ascent dynamics (CGAD) to find constrained saddle points with any specified Morse indices. It is proved that the linearly stable steady state of the proposed CGAD is exactly a nondegenerate constrained saddle point with...

In this paper, the recently developed Generalized Finite Integration Method (GFIM) is further combined with the technique of domain decomposition to solve multiple assets option pricing problems. By taking the time as a temporal variable incorporated with the spatial variables, we apply the space–time decomposition technique to divide the time inte...

In recent years, a new class of models has been proposed to exhibit bathtub-shaped failure rate functions. The modified Weibull is one of these models, which is a generalization for the Weibull distribution and is capable of modeling bathtub-shaped and increasing failure rate lifetime data. In this paper, conditional inference has been applied to c...

We consider a singularly perturbed time-dependent problem with a shift term in space. On appropriately defined layer adapted meshes of Durán- and S-type we derive a-priori error estimates for the stationary problem. Using a discontinuous Galerkin method in time we obtain error estimates for the full discretisation. Introduction of a weighted scalar...

In this paper we deduced explicitly expressions for the transient state distribution for a queueing problem having "chemical" rules with arbitrary number of customers present initially in the system, in addition to having the possibility of catastrophe and hence system repair. Our calculations based on using generating function and Laplace transfor...

In this article, an immersed finite element approach is presented for solving interface problems of elliptic PDEs on curved surfaces. Such surface PDEs involve discontinuities in the coefficients. The immersed surface finite element method can avoid complicated body-fitting surface grids generating. The construction of immersed surface finite eleme...

In this research work, the numerical scheme for obtaining the linear time-fractional differential equations was considered and the nature of these time-fractional differential equations are in sense of Caputo. A theorem was proved to show the Kamal transform of nth order Caputo derivatives. Finally, three problems were considered regarding the line...

Email is the communication application most widely used in organizations. Its use in the workplace has increased fourfold since 2006. Yet, email is associated with a number of negative aspects, most prominently 'email overload', defined as an individual's perception of being overwhelmed by emails that s/he considers too numerous to handle. Email ov...

In chemical graph theory, numerical encoding of chemical structure associated with topological indices is growing immensely. Prediction of the characteristics specified by the molecule's chemical structure is a salient feature of these topological indices. In this paper, we obtained the-polynomial of the two-dimensional Boron Kagome Lattice. Some t...

We propose using machine learning and artificial neural networks (ANNs) to enhance residual-based stabilization methods for advection-dominated differential problems. Specifically, in the context of the finite element method, we consider the streamline upwind Petrov-Galerkin (SUPG) stabilization method and we employ ANNs to optimally choose the sta...

Counter-rotating axial-flow compressor (CRAC) is a promising technology to increase the thrust-to-weight ratio of aero-engines. Self-recirculating casing treatment (SRCT) is selected to explore its stability enhancement capacity in the CRAC. In the present work, an effective SRCT is designed by the design of experiment method, and the stability imp...

The tunnel shaking table model test has many influencing factors, and the test parameters are difficult to meet the strict similarity ratio. There are often large errors in predicting prototypes directly using the similarity ratio derived from the classical similarity theory. In order to improve the prediction accuracy of the tunnel shaking table m...

This paper proposes network weight functions and time-varying potential functions for obstacle avoidance of swarm robots in column formation. We consider a potential function whose exponent is the distance between the robots and the obstacle for obstacle avoidance. When a robot tries to avoid an obstacle while staying in a formation, it behaves osc...

Keeping in view the latest development of anti-Hermitian matrix in mind, we construct some closed form formula for a classical system of matrix equations having anti-Hermitian nature in this paper. We give the necessary and sufficient conditions for the existence of its solution by applying the properties of matrix rank. The general solution to thi...

We study the class of q-Fourier multiplier operators Tm,a:=Fq(maFq(f))(x),a>0, and we give a new Calderon’s reproducing formula using the theory of Fourier transform; thus, we use the theory of reproducing kernels to give best approximation of these operators and Calderon’s reproducing formula of the associated extremal function. As an application,...

Using the information in x, we consider a new estimator that uses an exponential function to estimate the unknown population mean of y in the case of non-responding units. These cases are divided into two categories as Case I and Case II. In Case I, non-response units are only available on y, whereas in Case II, non-response units are available on...

In this paper, we describe representations of integers by linear combinations with integer coefficients of squares of the Fibonacci numbers. Focusing on felicitous linear dependence of the Fibonacci squares, we design a numeration system with the Fibonacci squares for representing every integer uniquely.

In this work, we have presented a redefined cubic B-Spline finite element technique for the numerical solution of the generalized delay diffusion equation. The Crank-Nicolson method has been applied to discretize the problem in the temporal domain, whereas, the typical third-degree B-spline functions have been utilized to interpolate the unknown fu...

This study deals with the problem of the H∞ state estimation for discrete-time memristive neural networks with time-varying delays, where the output is subject to randomly occurring denial-of-service attacks. The average dwell time is used to describe the attack rules, which makes the randomly occurring denial-of-service attack more universal. The...

This paper studies fixed-time tracking problems for stochastic nonlinear systems in strict-feedback form. Different from previous results, the practical fixed-time bounded theorem for stochastic nonlinear systems is given. The unknown functions of the stochastic nonlinear systems are approximated by the Fuzzy logic system (FLS) which has a universa...

In this study, some inequalities of Hermite–Hadamard type for integrals arising in conformable fractional calculus are presented. Numerous known versions are recovered as special cases. We also illustrate our findings via applications to modified Bessel functions, special means, and midpoint approximations.

In this study, we introduce the topic for exponential stability criterion of delayed linear system via intermittent feedback control. Utilizing the concept of fundamental for intermittent control is designed as continuous-time controller to generate open-loop predictions of states, for foreseeing the behavior of linear system in the future over the...

In this paper, the Galerkin finite element method is applied to solve the generalized delay reaction-diffusion equation, where the spatial and temporal variables are discretized by the Galerkin finite method and the Crank–Nicolson method, respectively. The numerical treatment shows that the proposed numerical scheme is asymptotically stable. Moreov...

In this manuscript, a numerical method based on the conjunction of Paraskevopoulos's algorithm and operational matrices is developed to solve numerically the multi-order linear and nonlinear fractional differential equations. By means of this conjunction, the multi-order problem is decomposed into a system of differential equations of fractional or...

This monograph analyzes numerous types of media manipulations, the criteria and methods of evaluating the effectiveness of the activities developed by the authors that contribute to the development of students’ media competence in the analysis of media manipulative influences; on the basis of synthesis and analysis the theoretical model of the deve...

The existence of the derivative with a fractional-order in a class of differential equations could lead to complicating the analysis. In this paper, a novel approach has been introduced to facilitate the analysis of the oscillation having fractional-order derivatives and to obtain the analytical solution easily. The present technique is formulated...

The liquid crystal beam steering device proved to be a promising device for the light field VR eye box extension. The manufacturing process of liquid crystal beam steering components requires special adjustments of electrodes and electrical fields, and numerous difficulties are encountered during development. This paper will present these challenge...

In this article, we conceive the notion of a generalized (α, ψ, q)-Meir-Keeler contractive mapping and then we investigate a fixed point theorem involving such kind of contractions in the setting of a complete metric space via a w-distance. Our obtained result extends and generalizes some of the previously derived fixed point theorems in the litera...

A shock–shock interaction problem can arise in high-speed vehicles where an oblique shock from one part of the body impinges on a bow shock from a different part of the body. The nature of the interaction can change as the vehicle increases in altitude to a more rarefied environment. In this work, the outcomes of a numerical study investigating the...

We establish spectral enclosures and spectral approximation results for the inhomogeneous lossy Drude-Lorentz system with purely imaginary poles, in a possibly unbounded Lipschitz domain of $\mathbb{R}^3$ . Under the assumption that the coefficients $\theta_e$, $\theta_m$ of the material are asymptotically constant at infinity, we prove that spectr...

In this work, we analyze a new method for solving equilibrium problem involving pseudomonotone and Lipschitz-type bifunction in real Hilbert space. A strong convergence theorem is presented without the prior knowledge of the Lipschitz-type constants of the bifunction. Finally, some numerical examples are given to illustrate the effectiveness of the...

In view of the present situation that there is no analytical solution to the strain influence line ofthe variable-section catenary hingeless arch ,this paper simplified the force method equation by using theelastic center method,simplified the curvilinear integral of the variable-section catenary hingeless arch byusing the Ritter cross-section vari...

This research aimed to design a controllable multi-inlet Photovoltaic/thermal (PV/T) system with dampers to control system operation. For this purpose, five openings and two dampers were employed on a module of the PV/T system. The proposed system's developed steady-state numerical two-dimensional model is applied to evaluate three study models, on...

In this article, we explore a new extended Lienard-type planar system with “corrections” of the second kind Chebyshev’s polynomial Un. The number and type of limit cycles are also studied. The discussion on the y(t)—component of the solution of the Lienard system is connected to searching for the solution of the synthesis of filters and electrical...

Many numerical approaches are developed in the last and in the present centuries to provide solutions of linear systems. Runge-Kutta (RK) method is a universal method that is widely used for solving Ordinary Differential Equations (ODEs). One of the most important physical applications of the linear systems is modeling the temperature distribution...

There are various neurological manifestations of coronavirus disease 2019 (COVID-19). Recent data suggest a connection between hemifacial paralysis, or Bell’s palsy, and COVID-19. Although the etiology of Bell’s palsy is unknown, the leading proposed etiology is viral in nature. Since the onset of the pandemic, numerous studies have investigated th...

Awareness of available expertise in a group directly influences the group's performance. Extensive empirical research on transactive memory systems has demonstrated this link. While there have been numerous research studies of this phenomenon, there is far less known about how interventions designed to increase transactive memory in natural continu...

In this article, a class of Poisson-regression based estimators has been proposed for estimating the finite population mean in simple random sampling without replacement (SRSWOR). The Poisson-regression model is the most common method used to model count responses in many studies. The expression for bias and mean square error (MSE) of proposed clas...

In this paper, approaches for the solution of parallel manipulators forward kinematics have been addressed. Current research on this topic has been analyzed to determine the status and unresolved issues of the research field. Articles on parallel manipulators forward kinematics were reviewed, and numerous approaches for resolving forward kinematics...

Feature-level or pixel-level fusion is a common technique for integrating different modes of information in RGB-T object tracking. A good fusion method between modalities can significantly improve the tracking performance. In this paper, a multi-modal and multi-level fusion model based on Siamese network (SiamMMF) is proposed. SiamMMF consists of t...

A two-dimensional (2D) model of topological insulator with N-stacked Su-Schrieffer-Heeger (SSH) chains is proposed. This study considers a basic model with all the fundamental symmetries (particle-hole, chiral, and time-reversal) preserved. This model is topologically trivial irrespective of the topological property of the individual SSH chain. In...

Loading berm is an effective method for improving highway subgrade stability in soft soil areas. However, this method requires lots of construction space. It is not applicable in some areas with narrow construction spaces. To address this problem, an embedded loading berm (ELB) is proposed to improve highway subgrade stability, and the effects of E...

In this work, derivation of the main thermodynamic relationships is realized together with the applied calculation of some parameters, providing the systematized description of non-linear thermo-mechanical deformation at dynamic mechanical analysis (DMA). Obtained equations and values agree well with experiments on different ribbon metallic glasses...

Safety filters provide modular techniques to augment possibly unsafe control inputs (e.g. from learning-based controllers or humans) with safety guarantees in the form of constraint satisfaction. In this paper, we present an improved model predictive safety filter (MPSF) formulation, which incorporates system level synthesis (SLS) techniques in the...

This paper proposes an infeasible interior-point algorithm for the convex optimization problem using arc-search techniques. The proposed algorithm simultaneously selects the centering parameter and the step size, aiming at optimizing the performance in every iteration. Analytic formulas for the arc-search are provided to make the arc-search method...

Many problems arising from science and engineering are in the form of a system of nonlinear equations. In this work, a new derivative-free inertial-based spectral algorithm for solving the system is proposed. The search direction of the proposed algorithm is defined based on the convex combination of the modified long and short Barzilai and Borwein...

In most HIV models, the emergence of backward bifurcation means that the control for basic reproduction number less than one is no longer effective for HIV treatment. In this paper, we study an HIV model with CTL response and cell‐to‐cell transmission by using the dynamical approach. The local and global stability of equilibria is investigated, the...

The method of alternating projections for extracting low-rank signals is considered. The problem of decreasing the computational costs while keeping the estimation accuracy is analyzed. The proposed algorithm consists of alternating projections on the set of low-rank matrices and the set of Hankel matrices, where iterations of weighted projections...

The gradual expansion of power transmission networks leads to an increase in short-circuit current (SCC), which has an impact on the secure operation of transmission networks when the SCC exceeds the interrupting capacity of the circuit breakers. In this regard, optimal transmission switching (OTS) is proposed to reduce the short-circuit current wh...

It is known that the spectrum of quasinormal modes of potential barriers is related to the spectrum of bound states of the corresponding potential wells. This property has been widely used to compute black hole quasinormal modes, but it is limited to a few “approximate” potentials with certain transformation properties for which the spectrum of bou...

In this work we develop a low-rank algorithm for the computation of low-rank approximations to the large-scale Lyapunov operator $\varphi$-functions. Such computations constitute the important ingredient to the implementation of matrix-valued exponential integrators for large-scale stiff matrix differential equations where the (approximate) solutio...

Quantum Annealing has proven to be a powerful tool to tackle several optimization problems. However, its performances are severely limited by the number of qubits we can fit on a single chip and their local connectivity. In order to address these problems, in this work, we propose a protocol to perform distributed quantum annealing. Our approach re...

In this work, we numerically investigate the scattering and absorption cross section of the massless scalar field from some well-known regular black holes by using the partial wave approach. Our computational results indicate that the larger the parameters, the lower the associated total absorption cross section maxima. When compared to the Schwarz...

For solving tensor linear systems under the tensor–tensor t-product, we propose the randomized average Kaczmarz (TRAK) algorithm, the randomized average Kaczmarz algorithm with random sampling (TRAKS), and their Fourier version, which can be effectively implemented in a distributed environment. We analyzed the relationships (of the updated formulas...

The aim of the Special Issue (SI) was to publish original and high-quality research papers that deal with model developments based on the mathematical, numerical, and experimental models associated with flexible floating or submerged structure applications in the discipline of marine engineering. [...]

In this paper the dynamics of a weakly nonlinear elastic string on a Winkler elastic foundation is studied. The foundation may be spatially heterogeneous. At one end of the string a mass-spring system is attached, and the other end of the string is fixed. The string is assumed to be long, and the lower part of the spectrum of the string is prescrib...

The problem of identifying the parameters of a DC motor is considered. The presence of measurement errors of currents and voltages leads to errors in both input and output signals. Existing methods for identifying the parameters of a DC motor do not take into account the presence of errors in both the output and input signals. A discrete model of a...

In this paper, we construct and study the fractal-like graphs by the method of substitution, called deterministic and random substitution graph systems. Though the idea of substitution is common in terms of fractal geometry and dynamical systems, the analysis of fractals regarding graph theory remains an immature field. This paper mainly includes t...

Radicalization leading to violence is a major societal issue all over the globe. In order to prevent its increase and expansion, measures need to be taken at different instances and levels. In the present narrative review, to inform evidence-based practices, we bring together numerous applied recommendations made by scholars studying the psychologi...

The study of the morphological diversity of the nutlets of Lavandula sect. Stoechas, from southwest Iberian Peninsula, has revealed clear differences in seed size between the studied taxa. L. viridis L'Her has the largest nutlets by opposition to L. stoechas subsp. luisieri (Rozeira) Rozeira. The taxa L. pedunculata subsp. lusitanica (Chaytor) Fran...

Elastodynamic problems are investigated in this work by employing the enriched finite element method (EFEM) with various enrichment functions. By performing the dispersion analysis, it is confirmed that for elastodynamic analysis, the amount of numerical dispersion, which is closely related to the numerical error from the space domain discretizatio...

Ambikapur of Chhattisgarh state is very fortunate area for the growth and development of the plants and numerous fungi. During the fungal survey a new species of Cladosporium Link ex Fries was collected on Pterocarpus marsupium Roxb from Sanjay park Ambikapur, Chhattisgarh. After comparison with allied taxa of Cladosporium sp. this species appeared...

Calculation of the sum of slowly convergent series is done by using the method of Laplace transform and other simple methods from classical and complex analysis. In this way, summation of series is reduced to problem of integration. Explicit integral formulae for numerical and Fourier series and detailed solutions of appropriate examples were given...