Study on the Convective Term Discretized by Strong Conservation and Weak Conservation Schemes for Incompressible Fluid Flow and Heat Transfer by Peng Wang, Bo Yu, Jianyu Xie, Yu Zhao, Jingfa Li, Qianqian Shao

“…With weak conservation scheme, the convective flux at interface is obtained by respective interpolation and subsequent product of primitive variables. …”
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Equivalent Characterization on Besov Space by Cong He, Jingchun Chen

“…Fourier multiplier, real interpolation, and Littlewood-Paley decomposition are applied.…”
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Assimilation of Sparse Continuous Near‐Earth Weather Measurements by NECTAR Model Morphing by I. A. Galkin, B. W. Reinisch, A. M. Vesnin, D. Bilitza, S. Fridman, J. B. Habarulema, O. Veliz

“…When applied to the sparse spatial data, such a neural network becomes a nonlinear multiscale interpolator of missing information. Early tests of the NECTAR morphing reveal its enhanced capability to predict system dynamics over no‐data regions (spatial interpolation).…”
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A Study of Missing Collaborative Data Imputation Models based on Same-City Delivery by Xintong Zou, Hui Jin

“…Comparisons with classical interpolation techniques were made to validate the improved performance of the proposed method.…”
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On some constants in simultaneous approximation by K. Balázs, T. Kilgore

“…However, recent numerical experimentation with traditional techniques of approximation such as Lagrange interpolation, slightly modified by additional interpolation of derivatives at ±1, shows that rapid convergence of an approximating polynomial to a function and of some derivatives to the derivatives of the function is often easy to achieve. …”
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ESTIMASI HASIL PRODUKSI TBS DI PTPN IV REGIONAL 4 DENGAN METODE INTERPOLASI POLINOM by PUSPA HANAYA LATIFAH ERJANDSA, SYAMSYIDA ROZI

“…Newton Polynomial Interpolation is a mathematical technique to estimate unknown values between data. …”
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Remaining Useful Life Prediction Method of Rolling Bearings Based on Pchip-EEMD-GM(1, 1) Model by Fengtao Wang, Xiaofei Liu, Chenxi Liu, Hongkun Li, Qingkai Han

“…Secondly, the hazard rate was calculated at each time, and the Pchip interpolation method was used to obtain the uniformly spaced interpolation data series. …”
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Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence by Dong, Zhaonan, Ern, Alexandre, Guermond, Jean-Luc

“…These bounds are derived using the quasi-interpolation errors with or without boundary prescription derived in [A. …”
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Exact Stiffness for Beams on Kerr-Type Foundation: The Virtual Force Approach by Suchart Limkatanyu, Woraphot Prachasaree, Nattapong Damrongwiriyanupap, Minho Kwon, Wooyoung Jung

“…The sixth-order governing differential compatibility of the problem is revealed using the virtual force principle and solved analytically to obtain the exact force interpolation functions. The matrix virtual force equation is employed to obtain the exact element flexibility matrix based on the exact force interpolation functions. …”
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Numerical Solutions to Fractional Perturbed Volterra Equations by B. Bandrowski, A. Karczewska, P. Rozmej

“…The kernel functions , , , correspond to the class of equations interpolating heat and wave equations. The results obtained generalize our previous results from 2010.…”
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Slow Motion and Zoom in HD Digital Videos Using Fractals by Maurizio Murroni, Cristian Perra, Daniele D. Giusto

“…At present, most techniques to perform digital spatial zoom and slow motion are based on interpolation for both enlarging the size of the original pictures and generating additional intermediate frames. …”
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Calculation of Lead-Iron Double-Layer Thickness for Gamma-Ray Shielding by MATLAB Program by Sarai Lekchaum, Kitsakorn Locharoenrat

“…The first was the logarithmic interpolation for the mass attenuation coefficient. The second was the bilogarithmic interpolation for the exposure buildup factor. …”
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Estimation of FBMC/OQAM Fading Channels Using Dual Kalman Filters by Mahmoud Aldababseh, Ali Jamoos

“…Once the fading channel coefficients at pilot symbol positions are estimated by the proposed method, the fading channel coefficients at data symbol positions are then estimated by using some interpolation methods such as linear, spline, or low-pass interpolation. …”
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Interval Shannon Wavelet Collocation Method for Fractional Fokker-Planck Equation by Shu-Li Mei, De-Hai Zhu

“…Comparing with the traditional wavelet defined in the interval, the Newton interpolator is employed instead of the Lagrange interpolation operator, so, the extrapolation points in the interval wavelet can be chosen dynamically to restrict the boundary effect without increase of the calculation amount. …”
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Approximate solutions of equations defined by complex spherical multiplier operators by C. P. Oliveira

“…The approximations are from native spaces embedded in Sobolev-type spaces and derived from the use of positive definite functions to perform spherical interpolation.…”
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Landmark Optimization Using Local Curvature for Point-Based Nonlinear Rodent Brain Image Registration by Yutong Liu, Balasrinivasa R. Sajja, Mariano G. Uberti, Howard E. Gendelman, Tammy Kielian, Michael D. Boska

“…To develop a technique to automate landmark selection for point-based interpolating transformations for nonlinear medical image registration. …”
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A New Pixels Flipping Method for Huge Watermarking Capacity of the Invoice Font Image by Li Li, Qingzheng Hou, Jianfeng Lu, Qishuai Xu, Junping Dai, Xiaoyang Mao, Chin-Chen Chang

“…The proposed interpolation method ensures that the invoice image keeps features well after scaling. …”
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Development of a Driving Cycle for Fuzhou Using K-Means and AMPSO by Minrui Zhao, Hongni Gao, Qi Han, Jiaang Ge, Wei Wang, Jue Qu

“…First, bad data in the original dataset are preprocessed, the time-series standard smoothing algorithm is used to smoothen the data, and Lagrange’s interpolation is used to realize data interpolation. …”
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Adaptive Fringe Projection for 3D Shape Measurement with Large Reflectivity Variations by Using Image Fusion and Predicted Search by Wei Feng, Shaojing Tang, Xiaodong Zhao, Guodong Sun, Daxing Zhao

“…This paper proposes a flexible and adaptive digital fringe projection method based on image fusion and interpolated prediction search algorithm. The multiple mask images are fused to obtain the required saturation threshold, and the interpolated prediction search algorithm is used to calculate the optimal projection gray-level intensity. …”
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Three-Dimensional Non-Uniform Sampled Data Visualization from Multibeam Echosounder Systems for Underwater Imaging and Environmental Monitoring by Wenjing Cao, Shiliang Fang, Chuanqi Zhu, Miao Feng, Yifan Zhou, Hongli Cao

“…To tackle the challenges associated with spatially non-uniform sampling, the proposed method employs linear interpolation along the radial direction and arc length weighted interpolation in the beam direction. …”
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