Phillips-Type q-Bernstein Operators on Triangles by Asif Khan, M. S. Mansoori, Khalid Khan, M. Mursaleen

“…The purpose of the paper is to introduce a new analogue of Phillips-type Bernstein operators Bm,qufu,v and Bn,qvfu,v, their products Pmn,qfu,v and Qnm,qfu,v, their Boolean sums Smn,qfu,v and Tnm,qfu,v on triangle Th, which interpolate a given function on the edges, respectively, at the vertices of triangle using quantum analogue. …”
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Numerical Manifold Method for the Forced Vibration of Thin Plates during Bending by Ding Jun, Chen Song, Wen Wei-Bin, Luo Shao-Ming, Huang Xia

“…A novel numerical manifold method was derived from the cubic B-spline basis function. The new interpolation function is characterized by high-order coordination at the boundary of a manifold element. …”
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Some Properties of Multiple Generalized q-Genocchi Polynomials with Weight and Weak Weight by J. Y. Kang

“…Moreover, we construct a Hurwitz-type zeta function which interpolates multiple generalized q-Genocchi polynomials with weight α and weak weight β and find some combinatorial relations.…”
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Procedure for optimization calculation of structures of suspended electromagnetic separators by G. A. Koschuk, K. I. Nikitin, A. S. Tatevosyan, N. A. Tereshchenko

“…During development of the optimization technique there is used the assumption of the plane-parallel nature of the magnetic field under the pole tips of the electromagnetic separator, thanks to which the formula for magnetic force at the middle of the interpole gap is derived. The effect on the maximum magnetic force of the length of the pole tips, the inter-pole gap and the height of the suspension of the electromagnetic separator has been investigated. …”
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Pullback-Forward Dynamics for Damped Schrödinger Equations with Time-Dependent Forcing by Lianbing She, Yangrong Li, Renhai Wang

“…The method of energy, high-low frequency decomposition, Sobolev embedding, and interpolation are quite involved in calculating a priori pullback or forward bound.…”
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On the series solutions of integral equations in scattering by Triki, Faouzi, Karamehmedović, Mirza

“…Furthermore we propose an interpolation method that allows the use of the Neumann series in all cases. …”
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On anisotropic Triebel-Lizorkin type spaces, with applications to the study of pseudo-differential operators by Lasse Borup, Morten Nielsen

“…An explicit atomic decomposition of the Triebel-Lizorkin type spaces is provided, and their interpolation properties are studied. As the main application, we consider Hörmander type classes of pseudo-differential operators adapted to the anisotropy and boundedness of such operators between corresponding Triebel-Lizorkin type spaces is proved.…”
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Modeling and Prediction of Momentum Wheel Speed Data by Jichao Li, Xiaxia Wang, Chaobo Chen, Song Gao

“…To solve the problems of data loss and unequal interval of momentum wheel (MW) speed during a satellite stable operation, this paper presents a multidimensional AR model. A Lagrange interpolation method is used to convert measurements to equal interval data, and the FFT algorithm is adopted to calculate the period of MW speed variation. …”
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Gamma Splines and Wavelets by Hannu Olkkonen, Juuso T. Olkkonen

“…We study the properties of the discrete gamma splines in signal interpolation and approximation. We prove that the gamma splines obey the two-scale equation based on the polyphase decomposition. to introduce the shift invariant gamma spline wavelet transform for tree structured subscale analysis of asymmetric signal waveforms and for systems with asymmetric impulse response. …”
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Three-Dimensional Path Planning of Constant Thrust Unmanned Aerial Vehicle Based on Artificial Fluid Method by Yongqiang Qi, Shuai Li, Yi Ke

“…In particular, this paper addresses a novel algorithm of constant thrust fitting which is proposed through the impulse compensation, and then the constant thrust switching control scheme based on the isochronous interpolation method is given. It is proved that the planned path can avoid all obstacles smoothly and swiftly and reach the destination eventually. …”
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Adaptive weighted progressive iterative approximation based on coordinate decomposition. by Yushi Liu, Yan Wang, Chengzhi Liu

“…During the iterative process of the progressive iterative approximation, it is necessary to calculate the difference between the current interpolation curve and the corresponding data points, known as the adjustment vector. …”
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Distribution, Risk Assessment, and Quantitative Source Analysis of Soil Heavy Metals in a Typical Agricultural City of East-Central China by Wenyue Du, Peng Zeng, Shi Yu, Fan Liu, Ping’an Sun

“…Among different land use types, the carcinogenic and non-carcinogenic risks of soil heavy metals in orchards are the highest. (3) Combining the kriging interpolation method and the PCA and PMF models, it can be determined that there are two main sources of heavy metals in the study area: one is natural and the other is anthropogenic. …”
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On the implementation of a global optimization method for mixed-variable problems by Nannicini, Giacomo

“…We propose several modifications aimed at generalizing and improving these two algorithms: (i) the use of an extended space to represent categorical variables in unary encoding; (ii) a refinement phase to locally improve a candidate solution; (iii) interpolation models without the unisolvence condition, to both help deal with categorical variables, and initiate the optimization before a uniquely determined model is possible; (iv) a master-worker framework to allow asynchronous objective function evaluations in parallel. …”
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Adaptive Hierarchical Collocation Method for Solving Fractional Population Diffusion Model by Linqiang Yang, Yafei Liu, Hongmei Ma, Xue Liu, Shuli Mei

“…This function, an improvement over previous constructs, mitigates the need for iterative computation of parameters and boasts advantages like interpolation, symmetry, and compact support. The method’s extension to other time-fractional partial differential equations (PDEs) is also possible. …”
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A Comparative Study on Solving Optimization Problems With Exponentially Fewer Qubits by David Winderl, Nicola Franco, Jeanette Miriam Lorenz

“…In addition, we propose a method to embed the linear interpolation of the MaxCut problem on a quantum device. …”
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Near-Field/Far-Field Transformation with Helicoidal Scanning from Irregularly Spaced Data by Francesco D'Agostino, Flaminio Ferrara, Claudio Gennarelli, Rocco Guerriero, Massimo Migliozzi

“…Once these helicoidal data have been recovered, those required by a classical cylindrical near-field/far-field transformation are efficiently determined by using an optimal sampling interpolation algorithm. Some numerical tests assessing the effectiveness of the proposed approach and its stability with respect to random errors affecting the near-field data are shown.…”
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Optimal Trajectory Planning for Glass-Handing Robot Based on Execution Time Acceleration and Jerk by Honggang Duan, Rongmin Zhang, Fei Yu, Jun Gao, Yuan Chen

“…A three-dimensional kinematics model of the glass-handing robot is then established and nonuniform fifth-order B-splines are used to interpolate its path points. The acceleration and jerk are expressed as functions of time through mathematical simulation. …”
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Universality of the close packing properties and markers of isotropic-to-tetratic crossover in quasi-one-dimensional superdisk fluid by Sakineh Mizani, Martin Oettel, Péter Gurin, Szabolcs Varga

“…We study equilibrium states and ordering regimes of a quasi-one-dimensional system of hard superdisks (anisotropic particles interpolating between disks and squares) where the centers of the particles are constrained to move on a line. …”
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Numerical Algorithms for Finding Zeros of Nonlinear Equations and Their Dynamical Aspects by Amir Naseem, M. A. Rehman, Thabet Abdeljawad

“…In this paper, we developed two new numerical algorithms for finding zeros of nonlinear equations in one dimension and one of them is second derivative free which has been removed using the interpolation technique. We derive these algorithms with the help of Taylor’s series expansion and Golbabai and Javidi’s method. …”
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Antenna Array Design in MIMO Radar Using NSK Polynomial Factorization Algorithm by Shuainan Gu, Ke Li, Xiukun Ren, Na-e Zheng

“…Then, undermined high-order factors are confirmed with Newton interpolation and certain high-order factors should be searched for within the undermined ones. …”
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