New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric Spaces by Muhammad Usman Ali, Hassen Aydi, Monairah Alansari

“…Debnath and De La Sen introduced the notion of set valued interpolative Hardy-Rogers type contraction mappings on b-metric spaces and proved that on a complete b-metric space, whose all closed and bounded subsets are compact, the set valued interpolative Hardy-Rogers type contraction mapping has a fixed point. …”
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Numerical Simulation of a Class of Hyperchaotic System Using Barycentric Lagrange Interpolation Collocation Method by Xiaofei Zhou, Junmei Li, Yulan Wang, Wei Zhang

“…Barycentric Lagrange interpolation collocation method is given and illustrated with hyperchaotic system (x˙=ax+dz-yz,y˙=xz-by,  0≤t≤T,z˙=cx-z+xy,w˙=cy-w+xz,) as examples. …”
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Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation by H. Nouriani, R. Ezzati

“…In this study, at first, we propose a new approach based on the two-dimensional fuzzy Lagrange interpolation and iterative method to approximate the solution of two-dimensional linear fuzzy Fredholm integral equation (2DLFFIE). …”
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Evaluating Urban Sewage Sludge Distribution on Agricultural Land Using Interpolation and Machine Learning Techniques by Andrea Lazzari, Simone Giovinazzo, Giovanni Cabassi, Massimo Brambilla, Carlo Bisaglia, Elio Romano

“…This study employed a conventional manure spreader to evaluate the distribution of SWS on agricultural land. Various interpolation methods and machine learning models were employed to analyze the spatial distribution patterns of the sludge. …”
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A spatial interpolation method based on 3D-CNN for soil petroleum hydrocarbon pollution. by Sheng Miao, Guoqing Ni, Guangze Kong, Xiuhe Yuan, Chao Liu, Xiang Shen, Weijun Gao

“…This approach provides a sustainable tool for soil pollution management, supports decision-makers in developing effective remediation strategies, and promotes the sustainable development of spatial interpolation techniques in environmental science.…”
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On an Interpolation Based Spectral Homotopy Analysis Method for PDE Based Unsteady Boundary Layer Flows by S. S. Motsa

“…The proposed approach is based on an innovative idea of seeking solutions that obey a rule of solution expression that is defined in terms of bivariate Lagrange interpolation polynomials. The applicability and effectiveness of the expanded SHAM approach are tested on a non-linear PDE that models the problem of unsteady boundary layer flow caused by an impulsively stretching plate. …”
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RegBoost: Enhancing mouse brain image registration using geometric priors and Laplacian interpolation by Atchuth Naveen Chilaparasetti, Andy Thai, Pan Gao, Xiangmin Xu, M. Gopi

“…We establish Dirichlet boundary conditions at these correspondences and find the displacement map throughout the volume using Laplacian interpolation. We discuss the challenges in our standalone framework and demonstrate how our new approaches can improve the results of existing image registration methods. …”
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Nonlinear blind source separation algorithm based on spline interpolation and artificial bee colony optimization by Lei CHEN, Shi-zhong GAN, Li-yi ZHANG, Guang-yan WANG

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Radial Basis Point Interpolation Method with Reordering Gauss Domains for 2D Plane Problems by Shi-Chao Yi, Fu-jun Chen, Lin-Quan Yao

“…We present novel Gauss integration schemes with radial basis point interpolation method (RPIM). These techniques define new Gauss integration scheme, researching Gauss points (RGD), and reconstructing Gauss domain (RGD), respectively. …”
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Path Planning for Spider Biomimetic Robot Leg based on Cubic Polynomial Interpolation Function with Midpoints by Luo Tianhong, Ma Li

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On the relative merits of interpolation schemes for the immersed boundary method: a case study with the heat equation by Willian Carlos Lesinhovski, N. L. Dias, L. S. Freire, A. C. F. S. Jesus

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An Importance Sampling Method for Generating Optimal Interpolation Points in Training Physics-Informed Neural Networks by Hui Li, Yichi Zhang, Zhaoxiong Wu, Zhe Wang, Tong Wu

“…To address these problems, we propose an importance sampling method to generate optimal interpolation points during training. Experimental results demonstrate that our method achieves a 43% reduction in root mean square error compared to state-of-the-art methods when applied to the one-dimensional Korteweg–De Vries equation.…”
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On Some w−Interpolative Contractions of Suzuki-Type Mappings in Quasi-Partial b-Metric Space by Pragati Gautam, Santosh Kumar, Swapnil Verma, Soumya Gulati

“…In this paper, our focus is to acquaint with the Suzuki-type mappings to establish some fixed point results using the new w-interpolative approach. We present some results for interpolative contraction operators via the w-admissible maps which satisfy the Kannan, Ćirić–Reich–Rus, and Hardy–Rogers contractions in quasi-partial b-metric space. …”
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Spatially Continuous Interpolation of Water Stage and Water Depths Using the Everglades Depth Estimation Network (EDEN) by Leonard Pearlstine, Aaron Higer, Monica Palaseanu, Ikuko Fujisaki, Frank Mazzotti

“…CIR1521/UW278: Spatially Continuous Interpolation of Water Stage and Water Depths Using the Everglades Depth Estimation Network (EDEN) (ufl.edu) …”
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On real interpolation, finite differences, and estimates depending on a parameter for discretizations of elliptic boundary value problems by Davide Guidetti, Sergei Piskarev

“…We give some results concerning the real-interpolation method and finite differences. Next, we apply them to estimate the resolvents of finite-difference discretizations of Dirichlet boundary value problems for elliptic equations in space dimensions one and two in analogs of spaces of continuous and Hölder continuous functions. …”
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Lightweight Design of Transmission Gear of an Aircraft Gun Ammunition Box based on SIMP Material Interpolation Model by Guanming Huang, Mingmin Liu, Hongliang Yang, Haiyang Zhang, Yongfeng Fan, Feng Xie, Shengli Ge

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Spatially Continuous Interpolation of Water Stage and Water Depths Using the Everglades Depth Estimation Network (EDEN) by Leonard Pearlstine, Aaron Higer, Monica Palaseanu, Ikuko Fujisaki, Frank Mazzotti

“…CIR1521/UW278: Spatially Continuous Interpolation of Water Stage and Water Depths Using the Everglades Depth Estimation Network (EDEN) (ufl.edu) …”
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Error Modeling, Calibration, and Nonlinear Interpolation Compensation Method of Ring Laser Gyroscope Inertial Navigation System by Jianli Li, Yanhai Ma, Chen Xiyuan

“…According to the actual working environment, the temperature errors of RLG SINS are compensated by a nonlinear interpolation compensation algorithm. The experimental results show that the inertial navigation errors of the proposed method are reduced.…”
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Recurrent Flow Update Model Using Image Pyramid Structure for 4K Video Frame Interpolation by Sangjin Lee, Chajin Shin, Hong-Goo Kang, Sangyoun Lee

Subjects: “…video frame interpolation…”
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New Frequency-Dependent Trigonometric Interpolation Functions for the Dynamic Finite Element Analysis of Thin Rectangular Plates by Supun Jayasinghe, Seyed M. Hashemi

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