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Error Estimates for Interpolation by Compactly Supported Radial Basis Functions of Minimal Degree

https://doi.org/10.1006/jath.1997.3137
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Tables of Integral Transforms
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Mathematical Methods for Curves and Surfaces
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Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
inferredcites →https://doi.org/10.1007/bf02432002openalex-snapshot
Error estimates and condition numbers for radial basis function interpolation
inferredcites →https://doi.org/10.1007/bf03177517openalex-snapshot
Compactly supported positive definite radial functions
inferredcites →https://doi.org/10.1016/0021-9045(91)90087-qopenalex-snapshot
Norms of inverses and condition numbers for matrices associated with scattered data
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Sur l’erreur d’interpolation des fonctions de plusieurs variables par les $D^m$-splines
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Multivariate Interpolation and Conditionally Positive Definite Functions. II
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Local error estimates for radial basis function interpolation of scattered data
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Advances in Numerical Analysis
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A Monotonic Property of Bessel Functions
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Positive Integrals of Bessel Functions
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Approximation Theory VIII
inferredcites →https://doi.org/10.1142/9789814503754_0003openalex-snapshot
New Developments in the Theory of Radial Basis Function Interpolation
inferredcites →https://doi.org/10.2140/pjm.1972.40.463openalex-snapshot
Approximation and interpolation
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Metric Spaces and Completely Monotone Functions
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A Treatise on the Theory of Bessel Functions.
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A Treatise on the Theory of Bessel Functions

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The radial point interpolation mixed collocation method for the solution of transient diffusion problems
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Vibration analysis of 2D-functionally graded nanobeams using the nonlocal theory and meshless method
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Pseudospectral meshless radial point interpolation for generalized biharmonic equation subject to simply supported and clamped boundary conditions
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A well-conditioned and efficient Levin method for highly oscillatory integrals with compactly supported radial basis functions
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Coupling of NURBS and Meshfree RPIM for plane stress of web with openings
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Radial basis functions collocation and a unified formulation for bending, vibration and buckling analysis of laminated plates, according to a variation of Murakami’s zig-zag theory
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Magnetohydrodynamic simulations using radial basis functions
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2004.09.002openalex-snapshot
Polyharmonic (thin-plate) splines in the analysis of composite plates
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A nodal integration technique for meshfree radial point interpolation method (NI-RPIM)
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Multi-constrained topology optimization of prefabricated joints in large-span latticed structures
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Galerkin approximation for elliptic PDEs on spheres
inferred← citeshttps://doi.org/10.1016/j.jat.2008.01.007openalex-snapshot
Construction of a local and global Lyapunov function for discrete dynamical systems using radial basis functions
inferred← citeshttps://doi.org/10.1016/j.jco.2010.06.003openalex-snapshot
An overlapping additive Schwarz preconditioner for interpolation on the unit sphere with spherical radial basis functions
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Shape and topology optimization of compliant mechanisms using a parameterization level set method
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An adaptive meshfree diffusion wavelet method for partial differential equations on the sphere
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Local radial point interpolation (MLRPI) method for solving time fractional diffusion-wave equation with damping
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Doubly stochastic radial basis function methods
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Partition of unity extension of functions on complex domains
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Meshless local Petrov–Galerkin solution of the neutron transport equation with streamline-upwind Petrov–Galerkin stabilization
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A mesh-free pseudospectral approach to estimating the fractional Laplacian via radial basis functions
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Efficient mesh deformation using radial basis functions with a grouping-circular-based greedy algorithm
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A lightweight RBF mesh deformation method: Non-iterative efficient control point selection via clustering analysis
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On the determination of the basin of attraction of a periodic orbit in two-dimensional systems
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Computation and verification of contraction metrics for periodic orbits
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Estimation of high-dimensional prior and posterior covariance matrices in Kalman filter variants
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Radial basis function regularization for linear inverse problems with random noise
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Optimal change point detection in Gaussian processes
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Solving time-dependent engineering problems with multiquadrics
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A radial basis function approach for the free vibration analysis of functionally graded plates using a refined theory
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Numerical solution of a linear Volterra integro-differential problem
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Modified Levin formulation for highly oscillatory Bessel integral transforms
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A deformable digital brain atlas system according to Talairach and Tournoux
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Numerical determination of the basin of attraction for asymptotically autonomous dynamical systems
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Mathematical analysis and numerical simulation of an age-structured model of cholera with vaccination and demographic movements
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Local modified mesh deformation based on radial basis functions for fluid solid interaction in reactor core
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Analysis of meshless local and spectral meshless radial point interpolation (MLRPI and SMRPI) on 3-D nonlinear wave equations
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LyapXool – a program to compute complete Lyapunov functions
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Update (2.0) to LyapXool: Eigenpairs and new classification methods
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Update (3.0) to LyapXool: Quadratic programming
inferred← citeshttps://doi.org/10.1016/j.spasta.2022.100596openalex-snapshot
A selective view of climatological data and likelihood estimation
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A modified Kirchhoff plate theory for analyzing thermo-mechanical static and buckling responses of functionally graded material plates
inferred← citeshttps://doi.org/10.1016/s0045-7825(03)00266-4openalex-snapshot
A matrix triangularization algorithm for the polynomial point interpolation method
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Compactly supported radial basis functions for shallow water equations
inferred← citeshttps://doi.org/10.1016/s0377-0427(01)00485-xopenalex-snapshot
Radial basis functions for the multivariate interpolation of large scattered data sets
inferred← citeshttps://doi.org/10.1016/s0723-0869(01)80020-7openalex-snapshot
Curiosities of characteristic functions
inferred← citeshttps://doi.org/10.1016/s0894-9166(13)60028-2openalex-snapshot
New treatment of essential boundary conditions in EFG method by coupling with RPIM
inferred← citeshttps://doi.org/10.1016/s0898-1221(01)00306-6openalex-snapshot
A meshless multilayer model for a coastal system by radial basis functions
inferred← citeshttps://doi.org/10.1016/s0955-7997(00)00034-5openalex-snapshot
Particular solutions of 3D Helmholtz-type equations using compactly supported radial basis functions
inferred← citeshttps://doi.org/10.1016/s0955-7997(00)00041-2openalex-snapshot
The Hermite collocation method using radial basis functions
inferred← citeshttps://doi.org/10.1016/s0955-7997(98)00089-7openalex-snapshot
A boundary element scheme for diffusion problems using compactly supported radial basis functions
inferred← citeshttps://doi.org/10.1016/s1359-8368(03)00083-0openalex-snapshot
Analysis of composite plates using higher-order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method
inferred← citeshttps://doi.org/10.1016/s1474-6670(17)31306-xopenalex-snapshot
Approximation of domains of attraction and lyapunov functions using radial basis functions
inferred← citeshttps://doi.org/10.1016/s1570-579x(06)80010-8openalex-snapshot
Computational Aspects of Radial Basis Function Approximation
inferred← citeshttps://doi.org/10.1023/a:1015674607196openalex-snapshot
Error Estimates for Multilevel Approximation Using Polyharmonic Splines
inferred← citeshttps://doi.org/10.1023/a:1018916902176openalex-snapshot
Convergence order estimates of meshless collocation methods using radial basis functions
inferred← citeshttps://doi.org/10.1023/a:1018919824891openalex-snapshot
Solving differential equations with radial basis functions: multilevel methods and smoothing
inferred← citeshttps://doi.org/10.1023/a:1018962112170openalex-snapshot
Multistep approximation algorithms: Improved convergence rates through postconditioning with smoothing kernels
inferred← citeshttps://doi.org/10.1029/2020ea001272openalex-snapshot
Accounting for Transport Error in Inversions: An Urban Synthetic Data Experiment
inferred← citeshttps://doi.org/10.1063/1.3601847openalex-snapshot
A semi-discrete scheme for solving nonlinear hyperbolic-type partial integro-differential equations using radial basis functions
inferred← citeshttps://doi.org/10.1063/1.5144642openalex-snapshot
Kinematic parameter optimization of a flapping ellipsoid wing based on the data-informed self-adaptive quasi-steady model
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