Three-Dimensional Microwave Imaging for Concealed Weapon Detection Using Range Stacking Technique by Weixian Tan, Pingping Huang, Zengshu Huang, Yaolong Qi, Wenqin Wang

“…For the 3D image reconstruction under two-dimensional (2D) planar aperture condition, most of current imaging algorithms focus on decomposing the 3D free space Green function by exploiting the stationary phase and, consequently, the accuracy of the final imagery is obtained at a sacrifice of computational complexity due to the need of interpolation. In this paper, from an alternative viewpoint, we propose a novel interpolation-free imaging algorithm based on wavefront reconstruction theory. …”
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Analysis of Numerical Measure and Numerical Integration Based on Measure by Yinkun Wang, Jianshu Luo, Xiangling Chen

“…By combining Lagrange interpolation, we propose a specific method for approximating the measure function and analyze the convergence order. …”
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Some Stability and Convergence of Additive Runge-Kutta Methods for Delay Differential Equations with Many Delays by Haiyan Yuan, Jingjun Zhao, Yang Xu

“…This paper is devoted to the stability and convergence analysis of the additive Runge-Kutta methods with the Lagrangian interpolation (ARKLMs) for the numerical solution of a delay differential equation with many delays. …”
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Cubic B-Spline Collocation Method for One-Dimensional Heat and Advection-Diffusion Equations by Joan Goh, Ahmad Abd. Majid, Ahmad Izani Md. Ismail

“…Cubic B-spline is applied as interpolation function. The stability analysis of the scheme is examined by the Von Neumann approach. …”
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An Efficient Collocation Method for the Numerical Solutions of the Pantograph-Type Volterra Hammerstein Integral Equations and its Convergence Analysis by Hashem Saberi Najafi, Sayed Arsalan Sajjadi, Hossein Aminikhah

“…We use the Lagrange interpolating polynomial to approximate the solution. …”
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Estimation of Maximum Daily Fresh Snow Accumulation Using an Artificial Neural Network Model by Gun Lee, Dongkyun Kim, Hyun-Han Kwon, Eunsoo Choi

“…When the input data were spatially interpolated at ungauged locations using the ordinary kriging (OK) method, the correlation coefficient was 0.40. …”
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Study on the Method of Automatically Drawing Multiscale Engineering Geotechnical (Geological) Sections Step by Step of Engineering Layers including Lenses by Guangjun Ji, Nannan Zhao, Xiaoyuan Zhou, Qian Wang, Yan Lu, Zizhao Cai

“…Firstly, the spatial information of the top and bottom boundaries of any borehole layer were extracted, and then based on the stratigraphical column, the borehole layer was studied by a step-by-step coarsen from the finest stratigraphical column to the coarsest stratigraphical column, and the occupation relationship among layers was distinguished; secondly, from the coarsest stratigraphical column to the finest level stratigraphical column step-by-step and taking the radial basis function (RBF) interpolation as an example, top and bottom boundaries were interpolated, respectively, by following the order of current stratigraphical column; next, topological relationship among engineering layers was processed according to contact relationship of strata, and strata boundaries with 0 thickness were deleted; and finally, auxiliary information such as scaler and legend were added in section to complete the drawing of multiscale sections. …”
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A Fractional Order Hepatitis C Mathematical Model with Mittag-Leffler Kernel by Hashim M. Alshehri, Aziz Khan

“…Our numerical results are based on the Lagrange polynomial interpolation. We observe that the model of fractional order has the same behavior of the solutions as the integer order existing model.…”
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Shape Preserving Piecewise KNR Fractional Order Biquadratic C2 Spline by Syed Khawar Nadeem Kirmani, Muhammad Bilal Riaz, Fahd Jarad, Hayder Natiq Jasim, Aytekin Enver

“…In the present paper, an interpolant continuity class C2 is preserved which gives visually pleasing piecewise curves. …”
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Regularity for Variational Evolution Integrodifferential Inequalities by Yong Han Kang, Jin-Mun Jeong

“…Moreover, by using the simplest definition of interpolation spaces and the known regularity result, we also prove that the solution mapping from the set of initial and forcing data to the state space of solutions is continuous, which very often arises in application. …”
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"Divided against itself"? Individual maxims and the redaction of Q by L. Howes

“…It also explores the possibility that the main redactor not only inserted and interpolated prophetic material into Q¹, but also transformed original wisdom sayings into prophetic Q² material. …”
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Predicting the thickness of shallow landslides in Switzerland using machine learning by C. Schaller, C. Schaller, L. Dorren, M. Schwarz, C. Moos, A. C. Seijmonsbergen, E. E. van Loon

“…Next, we compared the results to three simple models that link soil thickness to slope gradient (Simple-S/linear interpolation and SFM/log-normal distribution) and elevation (Simple-Z/linear interpolation). …”
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On the computation of the Basal Envelope Surface of Talwegs using the Analytic Element Method by Le Moine, Nicolas

“…Assuming a wireframe (1D) representation of talweg lines, the problem of interpolating elevation between talwegs has received attention for applications such as flood mapping using Height Above Nearest Drainage (HAND, [Nobre et al., 2011]), or groundwater level interpolation in low-conductivity aquifer systems. …”
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A Galerkin Solution for Burgers' Equation Using Cubic B-Spline Finite Elements by A. A. Soliman

“…Numerical solutions for Burgers’ equation based on the Galerkins’ method using cubic B-splines as both weight and interpolation functions are set up. It is shown that this method is capable of solving Burgers’ equation accurately for values of viscosity ranging from very small to large. …”
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A weak Galerkin finite element method for parabolic singularly perturbed convection-diffusion equations on layer-adapted meshes by Suayip Toprakseven, Seza Dinibutun

“…Error estimates for semi-discrete and fully-discrete schemes were presented, and the optimal order of uniform convergence has been obtained. A special interpolation was delicately designed based on the structures of the designed method and layer-adapted meshes. …”
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A Numerical Method for Delayed Fractional-Order Differential Equations by Zhen Wang

“…The general Adams-Bashforth-Moulton method combined with the linear interpolation method is employed to approximate the delayed fractional-order differential equations. …”
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An Unconditionally Stable Positivity-Preserving Scheme for the One-Dimensional Fisher–Kolmogorov–Petrovsky–Piskunov Equation by Sangkwon Kim, Chaeyoung Lee, Hyun Geun Lee, Hyundong Kim, Soobin Kwak, Youngjin Hwang, Seungyoon Kang, Seokjun Ham, Junseok Kim

“…The proposed method is based on the operator splitting method and an interpolation method. We perform several characteristic numerical experiments. …”
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Efficient Lattice Method for Valuing of Options with Barrier in a Regime Switching Model by Youngchul Han, Geonwoo Kim

“…Finally, computational results for the valuation of options with barrier show that the proposed method with interpolation is more efficient than the other tree methods.…”
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A three-parameter model for fatigue crack growth data analysis by A. De Iorio, M. Grasso, F. Penta, G.P. Pucillo

“…A three-parameters model for the interpolation of fatigue crack propagation data is proposed. …”
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An Efficient Third-Order Full-Discretization Method for Prediction of Regenerative Chatter Stability in Milling by Chao Huang, Wen-An Yang, Xulin Cai, Weichao Liu, YouPeng You

“…Using third-order Newton interpolation and third-order Hermite interpolation techniques, this study proposes a straightforward and effective third-order full-discretization method (called NI-HI-3rdFDM) to predict the regenerative chatter stability in milling operations. …”
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