Comparison of the stability of discontinuous Galerkin and finite-difference methods by Raimondas Čiegis, Remigijus Čiegis, Olga Suboč

“…It is proved that interpolation error accumulates during computations while projection error has much better stability properties. …”
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Ambient Ozone Exposure in Czech Forests: A GIS-Based Approach to Spatial Distribution Assessment by I. Hůnová, J. Horálek, M. Schreiberová, M. Zapletal

“…Our results indicate that the optimal interpolation approach is linear regression of O3 data and altitude with subsequent interpolation of its residuals by ordinary kriging. …”
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Atomic decompositions of Lorentz martingale spaces and applications by Jiao Yong, Peng Lihua, Liu Peide

“…Finally we discuss the restricted weak-type interpolation, and prove the classical Marcinkiewicz interpolation theorem in the martingale setting.…”
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On Fast and Stable Implementation of Clenshaw-Curtis and Fejér-Type Quadrature Rules by Shuhuang Xiang, Guo He, Haiyong Wang

“…Based upon the fast computation of the coefficients of the interpolation polynomials at Chebyshev-type points by FFT, together with the efficient evaluation of the modified moments by forward recursions or by Oliver’s algorithms, this paper presents fast and stable interpolating integration algorithms, by using the coefficients and modified moments, for Clenshaw-Curtis, Fejér’s first- and second-type rules for Jacobi weights or Jacobi weights multiplied by a logarithmic function. …”
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Quartic Rational Said-Ball-Like Basis with Tension Shape Parameters and Its Application by Yuanpeng Zhu, Xuli Han, Shengjun Liu

“…The error estimate expression of the proposed interpolant is given and the sufficient conditions are derived for constructing a C1 positivity- or monotonicity- preserving interpolation spline. …”
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Enhancing environmental monitoring of harmful algal blooms with ConvLSTM image prediction by Sung Jae Kim, Yongbok Cho

“…Using 3D universal kriging, the study interpolates missing HAB concentration values, transforming geospatial point data into spatially continuous grid images that serve as the foundation for predictive modeling. …”
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Schwarzschild-Levi-Civita black hole by S. Habib Mazharimousavi

“…Inspired by the geometry of the Ernst black hole which interpolates the static spherically symmetric Schwarzschild black hole and the static axially symmetric magnetic Melvin spacetime, in this paper, we aim to present a solution to Einstein's field equation in vacuum to interpolate the Schwarzschild black hole and the Levi-Civita spacetime. …”
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Pengembangan Metode Interpolasi Splin Kubik Terapit dan Aplikasinya pada Masalah Pelacakan Trajektori Objek by Elvathna Syafwan, Mahdhivan Syafwan, Shandy Tresnawati

“…Abstrract Cubic spline interpolation is a very popular curve fitting method since it is easy to implement and produces a smooth curve. …”
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HPM-Based Dynamic Sparse Grid Approach for Perona-Malik Equation by Shu-Li Mei, De-Hai Zhu

“…Based on the homotopy perturbation method (HPM) and the multiscale interpolation theory, a dynamic sparse grid method for Perona-Malik was constructed in this paper. …”
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Parenthèses et ruptures énonciatives en langue des signes française by Annie Risler

“…When applied to oral speech, the concept of parenthesis refers to a particular type of interpolated phrase, bounded on the left and on the right, and determined by prosodic, syntactic and discursive characteristics. …”
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The effect of resizing on the natural appearance of scintigraphic images: an image similarity analysis by Siraj Ghassel, Amir Jabbarpour, Jochen Lang, Eric Moulton, Eric Moulton, Ran Klein, Ran Klein, Ran Klein, Ran Klein

“…Naïve upsampling and downsampling with linear interpolation were compared against alternative methods based on the preservation of Poisson count statistics and principles of nuclear scintigraphic imaging; namely, linear interpolation with a Poisson resampling correction (upsampling) and a sliding window summation method (downsampling). …”
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Methods Research on Correction for Intracranial Metal Artifacts Based on Prior Image Utilization by Zonggui CHEN, Ningning WEI, Zhoufan LI, Guihong PAN, Minjiang HUANG

“…Two senior doctors subjectively scored this algorithm higher than the linear interpolation and ADN algorithms for removing CT metal artifacts. …”
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Fractalization of Fractional Integral and Composition of Fractal Splines by Gowrisankar Arulprakash

“…To elicit this phenomenon, a fractal operator is proposed in the space of continuous functions, an analogue to the existing fractal interpolation operator which perturbs $f$ giving rise to $\alpha$-fractal function $f^\alpha$. …”
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Low-Complexity Timing Correction Methods for Heart Rate Estimation Using Remote Photoplethysmography by Chun-Chi Chen, Song-Xian Lin, Hyundoo Jeong

“…Through a comparative analysis, this study offers insights into efficient timing correction techniques for enhancing HR estimation from rPPG, particularly suitable for edge-computing applications where low computational complexity is essential. Cubic interpolation can provide robust performance in reconstructing signals but requires higher computational resources, while linear and filter interpolation offer more efficient solutions. …”
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On complex L1-predual spaces by Mrinal Kanti Das

“…This paper contains some characterisations of complex L-balls, including interpolation theorems which are analogs of Edward's separation theorem for simplices.…”
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Temporal Downscaling of Crop Coefficient and Crop Water Requirement from Growing Stage to Substage Scales by Songhao Shang

“…A method was proposed to downscale crop coefficient and water requirement from growing stage to substage scales, which is based on the interpolation of accumulated crop and reference evapotranspiration calculated from their values in growing stages. …”
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Summary on Several Key Techniques in 3D Geological Modeling by Gang Mei

“…Several key techniques in 3D geological modeling including planar mesh generation, spatial interpolation, and surface intersection are summarized in this paper. …”
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Construction of Tourism Management Engineering Based on Data Mining Technology by Zhichen Ma

“…The deficiencies of fuzzy positive and negative class boundaries can be effectively solved by oversampling with the cluster center as the base point, and in the case of appropriately expanding the reasonable data interpolation method, the area space of boundary interpolation can be shrunk, and the performance of the algorithm can be improved. …”
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Non-uniform Fourier transform based image classification in single-particle Cryo-EM by ZiJian Bai, Jian Huang

“…However, this process involves interpolation, which can reduce the accuracy of the results. …”
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Applications of mixed finite element method based on Bernstein polynomials in numerical solution of Stokes equations by Lanyin Sun, Siya Wen

“…However, high-order Lagrange interpolation functions often suffer from the Runge's phenomenon, which limits their effectiveness. …”
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