Spatial Distribution of Tropospheric Ozone in National Parks of California: Interpretation of Passive-Sampler Data by John D. Ray

“…This point is illustrated with some kriged interpolation maps of ozone statistics. Passive ozone samplers were used to get elevational gradients and spatial distributions of ozone within a park. …”
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Direction finding method for wideband signals base on consistent focusing by CHEN Hong-guang, YU Sheng-fa, SHEN Zhen-kang

“…MTLS focusing method needs estimating direction of arrival firstly.Estimation bias in only few frequency bins could impair the entire USCM（universal spatial covariance matrix）estimation.Consistent MTLS focusing method was proposed based on the idea of AMI（array manifold interpolating）.Simulations show CMTLS focusing method not only improves the focusing performance,but also reduces the computational burden.…”
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Analysis of Laminated Shells by Murakami’s Zig-Zag Theory and Radial Basis Functions Collocation by D. A. Maturi, A. J. M. Ferreira, A. M. Zenkour, D. S. Mashat

“…The equations of motion and the boundary conditions are obtained by Carrera’s Unified Formulation and further interpolated by collocation with radial basis functions.…”
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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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Damage detection in a reinforced concrete bridge applying wavelet transform in experimental and numerical data by ramon saleno yure rubim costa silva, Erwin U. L. Palechor, Luciano M. Bezerra, Marcus V. G. de Morais, Welington V. da Silva

“…This paper purpose a methodology using Continuous Wavelet Transform associated with interpolation and regularization techniques applied in the experimental and numerical mode shapes of the Dogna Bridge using only the demaged responses. …”
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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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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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Exploring the Potential of Neural Networks to Predict Statistics of Solar Wind Turbulence by Daniel Wrench, Tulasi N. Parashar, Ritesh K. Singh, Marcus Frean, Ramesh Rayudu

“…A small feedforward ANN, with only 20 hidden neurons, can predict the large‐scale fluctuation amplitudes better than mean imputation or linear interpolation when the percentage of missing data is high. …”
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Calibration and Validation of MODIS-Derived Ground-Level Air Temperature Models by Means of Ground Measurements by Marica Teresa Rocca, Marica Franzini, Vittorio Marco Casella

“…To evaluate MODIS as a data source, we decided to use Kriging spatio-temporal interpolation. Starting from multitemporal MODIS data matrices, we interpolate them to estimate the temperature of the weather stations, in order to compare the estimation with the real weather station data, thus allowing the validation of MODIS data.…”
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