Stability and Permanence of a Pest Management Model with Impulsive Releasing and Harvesting by Jiangtao Yang, Zhichun Yang

“…Furthermore, the permanence of system is also derived. By numerical analysis, we also show that impulsive releasing and harvesting at two different fixed moments can bring obvious effects on the dynamics of system, which also corroborates our theoretical results.…”
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Iterative Splitting Methods for Integrodifferential Equations: Theory and Applications by Jürgen Geiser

“…Such modifications allow for applying standard iterative splitting schemes and for extending the schemes, respecting the integral operator. A numerical analysis is presented of the system of semidiscretised differential equations as abstract Cauchy problems. …”
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Study on the Influence of the Internal Elastic Constraint Stiffness on the Vib-Acoustic Performance of a Coupled Plate-Cylindrical Shell System by Yonggan Sun, Yong Xiao

“…In this investigation, the boundary and internal elastic constraint matrices of the coupled structure are established, the vibration and sound calculation model of the coupled structure is then established, and numerical analysis is performed to show the effect of constraint stiffness on the vibration and acoustical performance of a coupled plate-cylindrical shell system. …”
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High-Order Compact Difference Scheme for the Numerical Solution of Time Fractional Heat Equations by Ibrahim Karatay, Serife R. Bayramoglu

“…Finally a detailed numerical analysis, including tables, figures, and error comparison, is given to demonstrate the theoretical results and high accuracy of the proposed scheme.…”
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Pricing Warrant Bonds with Credit Risk under a Jump Diffusion Process by Xiaonan Su, Wei Wang, Wensheng Wang

“…By the risk neutral pricing theorem, we obtain an explicit pricing formula of the warrant bond. Furthermore, numerical analysis is provided to illustrate the sensitivities of the proposed pricing model.…”
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Modeling and Analysis of New Products Diffusion on Heterogeneous Networks by Shuping Li, Zhen Jin

“…For networks with the power-law degree distribution, numerical simulations confirm analytical results, and also at the same time, by numerical analysis of the influence of the network structure and persuasive advertisements on the density of adopters, we give two different products propagation strategies for two classes of nodes in scale-free networks.…”
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Explicit Solution of Reinsurance-Investment Problem for an Insurer with Dynamic Income under Vasicek Model by De-Lei Sheng

“…Some economic interpretations of the obtained results are explained in detail. In addition, numerical analysis and several graphics are given to illustrate our results more meticulous.…”
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New Highly Efficient Families of Higher-Order Methods for Simple Roots, Permitting f′(xn)=0 by Ramandeep Behl, V. Kanwar

“…Construction of higher-order optimal and globally convergent methods for computing simple roots of nonlinear equations is an earliest and challenging problem in numerical analysis. Therefore, the aim of this paper is to present optimal and globally convergent families of King's method and Ostrowski's method having biquadratic and eight-order convergence, respectively, permitting f′(x)=0 in the vicinity of the required root. …”
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L∞-error estimate for a system of elliptic quasivariational inequalities by M. Boulbrachene, M. Haiour, S. Saadi

“…We deal with the numerical analysis of a system of elliptic quasivariational inequalities (QVIs). …”
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The local limit theorem for complex valued sequences: the parabolic case by Coulombel, Jean-François, Faye, Grégory

“…The result applies in probability theory for random walks as well as in numerical analysis for studying the large time behavior of numerical schemes.…”
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Dynamic system evolution and markov chain approximation by Roderick V. Nicholas Melnik

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Isothermal Elasto-hydrodynamic Lubrication Analysis of the Roller Enveloping End Face Meshing Worm Drive by Xiaolong Wang, Honghui Liao

“…Based on the transmission theory of single roller enveloping end face meshing worm drive and isothermal elastohydrodynamic lubrication theory， and considering the influence of surface wavy roughness， a numerical analysis method is adopted to analyze the influence of different meshing positions， roughness amplitude， roller radius and throat diameter coefficient on the elastohydrodynamic lubrication performance of transmission pair. …”
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A new class of generalized polynomials associated with Milne-Thomson-based poly-Bernoulli polynomials by Waseem Ahmad Khan, Divesh Srivastava, Kottakkaran Sooppy Nisar

“…Motivated by their importance and potential for applications in certain problems in number theory, combinatorics, classical and numerical analysis, and other field of applied mathematics, a variety of polynomials and numbers with their variants and extensions have recently been introduced and investigated. …”
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Three-Dimensional Laplace Adomian Decomposition Method and Singular Pseudoparabolic Equations by Hassan Eltayeb, Diaa Eldin Elgezouli, Adem Kilicman, Imed Bachar

“…Analysis of the method is discussed, and some demonstrative examples are mentioned to confirm the power and accuracy of the recommended method, and numerical analysis is applied to sketch the exact and approximate solution.…”
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Solving Reaction-Diffusion and Advection Problems with Richardson Extrapolation by Tamás Mona, István Lagzi, Ágnes Havasi

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Mode I Stress Intensity Factors for triangular corner crack nearby intersecting of cylindrical holes by E. Salvati, P. Livieri, R. Tovo

“…Influence of bore hole D1/D2 and angle between their axes α are examined. Numerical analysis are performed to determine Stress Intensity factors (SIF) in many geometric configurations. …”
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Research on Spectrum Access Mechanism Based on Polling Scheduling by Jin Lu, Ming Huang, Zhijun Yang

“…Based on the analysis method of embedded Markov chain and probability generating function, the key parameters of average queue length, bandwidth utilization and forced termination probability were obtained through solving the stationary distribution of equilibrium state. Numerical analysis and simulation results show that the mechanism improves the queuing performance and the bandwidth utilization of spectrum holes, and reveal its potential application in cognitive wireless network for data services.…”
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Life Modified of Cross Universal Joint Bearing with Considering Clearance and Deflection by Liu Guanglai, Yang Jianxi, Yang Xiaowei, Gao Fei, Ma Xinzhong

“…The load distribution considering clearance and deflection of the cross universal joint bearings of a JIEFANG truck is calculated by using MATLAB programming and ANSYS numerical analysis method. The load distribution calculation results are used as the input conditions for stress analysis. …”
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Some Comments on the Nonlinear Dynamics of a Portal Frame under Base Excitation by Aline Souza de Paula, José Manoel Balthazar, Jorge Luis Palacios Felix

“…The main goal of this study is to investigate the dynamic interactions between a flexible portal frame and a nonlinear electrical support excitation. The numerical analysis shows a complex behavior of the system, which can be observed by phase spaces, Poincaré sections and bifurcation diagrams.…”
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Dynamics of an SIR Epidemic Model with Information Variable and Limited Medical Resources Revisited by Caijuan Yan, Jianwen Jia, Zhen Jin

“…We also discuss the global asymptotical stability of the endemic equilibrium by autonomous convergence theorem. A numerical analysis is given to show the effectiveness of the main results.…”
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