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Article
Adaptive residual refinement in an RBF finite difference scheme for 2D time-dependent problems
The current study introduces a fast and accurate method based on a novel adaptive meshfree technique to solve time-dependent partial differential equations with solutions representing high gradients or quick c...
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Article
The Role of Hilbert–Schmidt SVD basis in Hermite–Birkhoff interpolation in fractional sense
The Hermite–Birkhoff (HB) interpolation is an extension of polynomial interpolation that appears when observation gives operational information. Additional capabilities in HB interpolation by considering fract...
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Article
A novel hybrid trust region algorithm based on nonmonotone and LOOCV techniques
In this paper, a novel hybrid trust-region algorithm using radial basis function (RBF) interpolations is proposed. The new algorithm is an improved version of ORBIT algorithm based on two novel ideas. Because ...
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Article
Scattered data fitting of Hermite type by a weighted meshless method
In many practical problems, it is often desirable to interpolate not only the function values but also the values of derivatives up to certain order, as in the Hermite interpolation. The Hermite interpolation ...
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Article
Gaussian radial basis function interpolant for the different data sites and basis centers
The present study introduces results about unique solvability of Gaussian RBF interpolation with the different data sites and basis centers. For ...
