A Comparison of Splitting Techniques for 3D Complex Padé Fourier Finite Difference Migration by Jessé C. Costa, Débora Mondini, Jörg Schleicher, Amélia Novais

“…The FFD methods are complex Padé FFD and FFD plus interpolation, and the compared splitting techniques are two- and four-way splitting as well as alternating four-way splitting, that is, splitting into the coordinate directions at one depth and the diagonal directions at the next depth level. …”
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Study of thermal performance of a solar collector-based hydraulic system by A. A. Gladenko, A. V. Zinovyeva, V. I. Karagusov

“…It is possible to obtain missing experimental data using interpolation, extrapolation and similarity theory.…”
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Application of Statistical Methods for the Characterization of Radon Distribution in Indoor Environments: A Case Study in Lima, Peru by Rafael Liza, Félix Díaz, Patrizia Pereyra, Daniel Palacios, Nhell Cerna, Luis Curo, Max Riva

“…Non-normally distributed data were normalized using a Box–Cox transformation to improve statistical assumptions, enabling subsequent geostatistical analyses. Geospatial interpolation methods, specifically Inverse Distance Weighting (IDW) and Kriging, were employed to map radon concentrations. …”
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Study on Internal Force of Tunnel Segment by Considering the Influence of Joints by Linwei Dong, Zhiyong Yang, Zhenyong Wang, Yaowen Ding, Weiqiang Qi

“…According to the spline interpolation results of the load test data of the segment joints, the internal force of the segment component under an external load is solved by the iterative method.…”
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Circular thin plates buckling analysis with HRPIM method by Baid Sokayna, Hilali Youssef, Mesmoudi Saïd, Bourihane Oussama

“…The algorithm integrates high-order continuation (HOC) solver and the Hermite-type radial point interpolation method (HRPIM). The in-plane displacement is approximated with RPIM method, while the HRPIM approach is used to compute the transverse component and its derivatives. …”
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Acoustic topology optimization using a mixed formulation and a three-material scheme by B. Ferrándiz, F.D. Denia, J. Martínez-Casas, E. Nadal, J.J. Ródenas

“…In this work, this formulation is applied only to a localized design subdomain to balance its high computational cost, while the remaining acoustic domain uses a conventional pressure-based approach. A three-material interpolation scheme is introduced to optimize designs with air, solid, and porous materials, and is applied to three case studies. …”
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Numerical Simulation of Surface Movement and Deformation Caused by Underground Mining with Complex Stratigraphic Boundary by Liang Wang, Chao He, Songjun Cui, Feifei Wang

“…The interface program of finite element software based on surface spline interpolation is developed by using MATLAB software. …”
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The EDI Multi-Modal Simultaneous Localization and Mapping Dataset (EDI-SLAM) by Peteris Racinskis, Gustavs Krasnikovs, Janis Arents, Modris Greitans

“…These include two global shutter RGB camera feeds, LiDAR scans, as well as inertial and GNSS data from an RTK-enabled IMU-GNSS positioning module—both as satellite fixes and internally fused interpolated pose estimates. The tracks are formatted as ROS1 and ROS2 bags, with separately available calibration and ground truth data. …”
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Implementation of Virtual Crack Closure Technique for Damaged Composite Plates Using Higher-Order Layerwise Model by Kwang S. Woo, Jae S. Ahn

“…In the proposed elements, the integrals of Legendre polynomials and Gauss-Lobatto technique are employed to interpolate displacement fields and to implement numerical quadrature, respectively. …”
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Wavelet Domain Multidictionary Learning for Single Image Super-Resolution by Xiaomin Wu, Jiulun Fan, Jian Xu, Yanzi Wang

“…From our observation, we found the approximation subbands of the HR image and the corresponding bicubic interpolated image are very similar but the respective detail subbands are different. …”
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Half-line kink scattering in the ϕ 4 model with Dirichlet boundary conditions by Jairo S. Santos, Fabiano C. Simas, Adalto R. Gomes

“…Here we consider singular solutions that interpolate the Dirichlet boundary condition ϕ(x = 0, t) = H and their scattering with the regular kink solution. …”
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Effects of Natural Disasters on Children and Adolescents by Derya Karabulut, Tolga Bekler

“…Theses and articles obtained by using search words and phrases such as disaster, natural disasters, disaster effects, disasters and children, disasters and young people, child development from different databases such as Yöktez, Google Scholar, Dergi Park, EM-DAT, Science Direct, PubMed, International Journal of Psychiatry and Psychology Studies, International Journal of Family Child and Education, have been reviewed and interpolated as to form a data base for further studies.…”
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Optimal Design of the Sealing Structure of a Hydraulic Cylinder on the Basis of a Surrogate Model by Hong Zhang, Yu Sun, Chenchen Li, Haoran Wang

“…Then, a surrogate model was fitted and optimised through a constrained Latin hypercube method, an interpolating recmultiquadric radial basis function method, and the genetic algorithm. …”
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Quantitative estimates for perturbed sampling Kantorovich operators in Orlicz spaces by Costarelli Danilo, De Angelis Eleonora, Vinti Gianluca

“…This allows us to apply the above results in certain Orlicz spaces of particular interest, such as the interpolation spaces, the exponential spaces and the Lp{L}^{p}-spaces, 1≤p<+∞1\le p\lt +\infty . …”
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Multicooperation of Turtle-inspired amphibious spherical robots by Liang Zheng, Yuke Ma, Hui Yu, You Tang

“…First, a novel underwater kinematic model using the unit quaternion (UQ) algorithm is proposed based on attitude interpolation to realize MDOF movement. Then, the ASRs use a camera acquisition compartment to realize underwater target recognition and tracking by adjusting their motion trajectory. …”
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SPACIER: on-demand polymer design with fully automated all-atom classical molecular dynamics integrated into machine learning pipelines by Shun Nanjo, Arifin, Hayato Maeda, Yoshihiro Hayashi, Kan Hatakeyama-Sato, Ryoji Himeno, Teruaki Hayakawa, Ryo Yoshida

“…First-principles calculations and other computer experiments have been integrated into material design pipelines to address the lack of experimental data and the limitations of interpolative machine learning predictors. However, the enormous computational costs and technical challenges of automating computer experiments for polymeric materials have limited the availability of open-source automated polymer design systems that integrate molecular simulations and machine learning. …”
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A Framework of the Meshless Method for Topology Optimization Using the Smooth-Edged Material Distribution for Optimizing Topology Method by Jingbo Huang, Kai Long, Yutang Chen, Rongrong Geng, Ayesha Saeed, Hui Zhang, Tao Tao

“…This work proposes a non-penalized SEMDOT where an interpolation-based heuristic sensitivity expression is utilized. …”
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Manufacturing Reliability Assessment of Fine Ag Alloy Wire During Wire Loop Formation Process by Deshin Liu, Tingsheng Chang, Zhenwei Zhuang, Yungching Chao, Sungting Chung, Peichen Huang

“…Under the different consideration of wire loop formation speed, it is found that the strain rate has significant influence on plastic strain and corresponding stress at kink region, which is interpolated by the J-C model. The critical stress/strain location and loop height of concerned wire can be effectively estimated by the present approach, and provided the design guidelines of fine Ag alloy wire in application of electronic packaging.…”
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Study on Spacing Threshold of Nonsubmerged Spur Dikes with Alternate Layout by Xiaomeng Cao, Zhenghua Gu, Hongwu Tang

“…The results of four sets of additional conditions illustrate that the generalization of empirical formula is satisfactory and the precision of interpolation is higher than that of extrapolation. Furthermore, the spacing threshold of alternate spur dikes is generally smaller than ipsilateral spur dikes.…”
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Parametric Nonlinear Model Reduction Using K-Means Clustering for Miscible Flow Simulation by Norapon Sukuntee, Saifon Chaturantabut

“…The resulting POD basis is then used with Galerkin projection to construct reduced-order systems for various parameter vectors in the given domain together with applying the discrete empirical interpolation method (DEIM) to further reduce the computational complexity in nonlinear terms of the miscible flow model. …”
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