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 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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Entropy numbers of embeddings of function spaces with Muckenhoupt weights, III. Some limiting cases by Dorothee D. Haroske, Leszek Skrzypczak

“…Essential tools are a discretisation in terms of wavelet bases, as well as a refined study of associated embeddings in sequence spaces and interpolation arguments in endpoint situations.…”
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Projected Adaptive Cubic Regularization Algorithm with Derivative-Free Filter Technique for Box Constrained Optimization by Lingyun He, Peng Wang, Detong Zhu

“…The affine scaling interior-point cubic model is based on the quadratic probabilistic interpolation approach on the objective function. The new iterations are obtained by the solutions of the projected adaptive cubic regularization algorithm with filter technique. …”
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Unified Framework of Approximating and Interpolatory Subdivision Schemes for Construction of Class of Binary Subdivision Schemes by Pakeeza Ashraf, Ghulam Mustafa, Abdul Ghaffar, Rida Zahra, Kottakkaran Sooppy Nisar, Emad E. Mahmoud, Wedad R. Alharbi

“…The proposed algorithm is based on three-point approximating binary and four-point interpolating binary subdivision schemes. It contains a parameter which classifies members of the new class of subdivision schemes. …”
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On constraints of the (β-deformed) partition functions with W-representations by Yu-Sen Zhu, Ren Cuo Ji, Min-Li Li, Rui Wang

“…We investigate the constraints of the (β-deformed) partition functions with W-representations in the literature, which can be realized by the interpolating two-matrix models (two β-ensembles). For the non-deformed partition functions, we construct their Virasoro and higher order constraints using the total derivative operators. …”
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CONSISTENCY EVALUATION OF THE AIRCRAFT STRUCTURAL SIMULATION AND TEST by GUO YuChao, NIE XiaoHua, ZHANG ShengGui, WU CunLi

“…The methods of consistency evaluation are introduced for the finite element simulation and test of the aircraft structure. First,the strain interpolation method is studied based on the element shape functions,and the transformation method is given for the consistency between simulation and test strain gauges; Second,linearization correction for the test strain gauges was obtained by using the least squares principle. …”
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Multivariate p-Adic Fermionic q-Integral on ℤp and Related Multiple Zeta-Type Functions by Min-Soo Kim, Taekyun Kim, Jin-Woo Son

“…They also raised the following problem: “are there analytic multiple twisted Carlitz's type q-zeta functions which interpolate multiple twisted Carlitz's type q-Euler (Bernoulli) polynomials?” …”
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Numerical Integration of a Class of Singularly Perturbed Delay Differential Equations with Small Shift by Gemechis File, Y. N. Reddy

“…Then, Simpson’s rule and linear interpolation are employed to get the three-term recurrence relation which is solved easily by discrete invariant imbedding algorithm. …”
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Linearized distortion model for robust speech recognition in noisy environments by HE Yong-jun1, HAN Ji-qing1

“…The robustness of speech recognition system in noisy environments was investigated.The distortion model in Mel-frequency cepstral coefficient（MFCC） domain is highly non-linear and difficult to deal with.A new linear distortion model was proposed by replacing the logarithm operation with its piecewise linear interpolation function.Then the esti-mation of noise parameters and compensation of acoustic models were provided.The proposed method can avoid model error introduced by utilizing linearization methods based on vector Taylor series（VTS） expansion,and significantly im-prove the robustness of recognizer in noisy environments.…”
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Intelligent prediction and understanding of self-shrinkage in ultra-high performance concrete based on machine learning by Ji Hao, Wenbin Jiao, Xinpo Xie, Dula Man, Shengwei Huang

“…Initially, missing data were interpolated using the modified Akima interpolation method, with visualized results provided for discussion. …”
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Environmental Covariates for Sampling Optimization and Pest Prediction in Soybean Crops by Cenneya Lopes Martins, Maiara Pusch, Wesley Augusto Conde Godoy, Lucas Rios do Amaral

“…The data showed no spatial dependence, making using geostatistical interpolators inappropriate. However, a multi-objective optimized sampling design, tailored to refine configurations for identifying and estimating variograms and spatial trends essential for spatial interpolation, produced the most accurate predictions. …”
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On notch and crack size effects in fatigue, Paris� law and implications for Whler curves by Michele Ciavarella, A. Papangelo

“…As often done in design practice, the W�hler curve of a specimen, in the absence of more direct information, can be crudely retrieved by interpolating with a power-law curve between static strength at a given conventional low number of cycles N0 (of the order of 10-103), and the fatigue limit at a infinite life, also conventional, typically N8=2?…”
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Fair and anonymous ID-based multi-receiver signcryption by Liao-jun PANG, Lu GAO, Qing-qi PEI, Yu-min WANG

“…In order to solve the identify information exposure problem and the decryption unfairness problem in Lal et al’s identity-based multi-receiver signcryption scheme,a novel identity-based multi-receiver signcryption scheme,using the Lagrange interpolation method,was proposed to meet the requirements of the identity anonymity and the decryption fairness.Based on the Bilinear Diffie-Hellman and computational Diffie-Hellman assumptions,the security of IND-sMIBSC-CCA2 and EUF-sMIBSC-CMA was proved formally under the random oracle model,which shows that the proposed scheme can achieve the confidentiality and the unforgeablity required.…”
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First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation by Marco Pedro Ramirez-Tachiquin, Cesar Marco Antonio Robles Gonzalez, Rogelio Adrian Hernandez-Becerril, Ariana Guadalupe Bucio Ramirez

“…The analysis is performed by introducing interpolating piecewise separable-variables conductivity functions in the unit circle. …”
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Interactive Visualization Platform Based on MapReduce by Jialiang Wang, Bo Qin, Jianjian Liu, Ni Liu

“…It inserts GPU, MPI parallel computing into MapReduce mechanism of Hadoop to realize the parallel processing of large-scale ocean environment data sets, such as data retrieval, data extraction, data interpolation, analysis of characteristics' visualization, so that the massive data's visualization can be processed in the remote interactive way. …”
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