New classes of rearrangement-invariant spaces appearing in extreme cases of weak interpolation by Evgeniy Pustylnik, Teresa Signes

“…We study weak type interpolation for ultrasymmetric spaces L?,E i.e., having the norm ??…”
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Geometrically Nonlinear Analysis for Elastic Beam Using Point Interpolation Meshless Method by Cheng He, Xinhai Wu, Tao Wang, Huan He

“…In order to solve the intrinsic beam equations in a relative simple way, in this paper, the point interpolation meshless method was employed to obtain the discretization equations of motion. …”
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Comparative Analysis of Different Interpolation Methods in Modeling Spatial Distribution of Monthly Precipitation by Yılmaz İçağa, Emin Taş

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Abel–Goncharov Type Multiquadric Quasi-Interpolation Operators with Higher Approximation Order by Ruifeng Wu

“…The presented method is studied by combining the known multiquadric quasi-interpolant with univariate Abel–Goncharov interpolation polynomials. …”
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Interpolation-Based Modeling Methodology for Efficient Aeroelastic Control of a Folding Wing by Chengyu Yue, Yonghui Zhao

“…Firstly, a new approach based on interpolation of local models is proposed to generate the linear parameter-varying model of a folding wing. …”
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Fast Hankel Transforms Algorithm Based on Kernel Function Interpolation with Exponential Functions by Huaiqing Zhang, Yu Chen, Xin Nie

“…This thesis proposed an improved scheme by adding new base function in interpolation procedure. The improved method maintains the merit of Pravin method which can convert the Hankel integral to algebraic calculation. …”
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Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes by Ghulam Mustafa, Syeda Tehmina Ejaz

“…A numerical interpolating algorithm of collocation is formulated, based on 8-point binary interpolating subdivision schemes for the generation of curves, to solve the two-point third order boundary value problems. …”
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Some New Results of Mitrinović–Cusa’s and Related Inequalities Based on the Interpolation and Approximation Method by Lina Zhang, Xuesi Ma

“…First, we give new polynomial bounds for sinc(x) and cos(x) functions using the interpolation and approximation method. Based on the obtained results of the above two functions, we establish new bounds for Mitrinović–Cusa’s, Wilker’s, Huygens’, Wu–Srivastava’s, and Neuman–Sándor’s inequalities. …”
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Spectral Element Method for Fractional Klein–Gordon Equations Using Interpolating Scaling Functions by Haifa Bin Jebreen

“…The algorithm employs interpolating scaling functions (ISFs) that meet specific properties and satisfy the multiresolution analysis. …”
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Some New Results of Interpolative Hardy–Rogers and Ćirić–Reich–Rus Type Contraction by Youssef Errai, El Miloudi Marhrani, Mohamed Aamri

“…Furthermore, we introduce the concept of g-interpolative Hardy–Rogers type contractions in b-metric spaces to prove the existence of the coincidence point. …”
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A High-Precision Interpolation Method for Data Transfer in Fluid-Structure Interaction Analysis by Xuehua Li, Lei Zhang, Peiyan Wang, Xingsuo He

“…Some practical solutions are presented, aiming to grapple with pertinent problems such as local interpolation burr and global interpolation distortion which are originated from oversimplified structure dynamic models and inconsistent structural deformation. …”
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Design, Analysis, and Implementation of the Subdivision Interpolation Technique for the Grating Interferometric Micro-Displacement Sensor by Jiuhui Tang, Haifeng Peng, Peng Yang, Shangzhou Guo, Wenqiang Sun, Li Jin, Kunyang Xie, Mengwei Li

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Optimal Sixteenth Order Convergent Method Based on Quasi-Hermite Interpolation for Computing Roots by Fiza Zafar, Nawab Hussain, Zirwah Fatimah, Athar Kharal

“…The method is constructed by using quasi-Hermite interpolation and has order of convergence sixteen. As this method requires four function evaluations and one derivative evaluation at each step, it is optimal in the sense of the Kung and Traub conjecture. …”
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Into the latent space of capacitive sensors: interpolation and synthetic data generation using variational autoencoders by Miguel Monteagudo Honrubia, Francisco Javier Herraiz-Martínez, Javier Matanza Domingo

“…Consequently, exploring this latent space is a critical task to control the generation of synthetic signals and interpolating concentrations unmeasured by the sensor. …”
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Numerical Simulation of the Lorenz-Type Chaotic System Using Barycentric Lagrange Interpolation Collocation Method by Jun-Mei Li, Yu-Lan Wang, Wei Zhang

“…Based on this problem, this paper introduces a novel numerical method to solve the Lorenz-type chaotic system which is based on barycentric Lagrange interpolation collocation method (BLICM). The system (1) is adopted as an example to elucidate the solution process. …”
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A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation by Fiza Zafar, Nusrat Yasmin, Saima Akram, Moin-ud-Din Junjua

“…We construct a new general class of derivative free n-point iterative methods of optimal order of convergence 2n-1 using rational interpolant. The special cases of this class are obtained. …”
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Local Lagrange Interpolations Using Bivariate C2 Splines of Degree Seven on Triangulated Quadrangulations by Xuqiong Luo, Qikui Du

“…A local Lagrange interpolation scheme using bivariate C2 splines of degree seven over a checkerboard triangulated quadrangulation is constructed. …”
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A Novel Mesoscale Eddy Identification Method Using Enhanced Interpolation and A Posteriori Guidance by Lei Zhang, Xiaodong Ma, Weishuai Xu, Xiang Wan, Qiyun Chen

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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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