On choosing “optimal” shape parameters for RBF approximation

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Fasshauer, Gregory E., and Jack G. Zhang. “On Choosing ‘optimal’ Shape Parameters for RBF Approximation”. Numerical Algorithms, vol. 45, no. 1-4, 2007, pp. 345-68, https://doi.org/10.1007/s11075-007-9072-8.
Fasshauer, G. E., & Zhang, J. G. (2007). On choosing “optimal” shape parameters for RBF approximation. Numerical Algorithms, 45(1-4), 345-368. https://doi.org/10.1007/s11075-007-9072-8
Fasshauer, Gregory E., and Jack G. Zhang. “On Choosing ‘optimal’ Shape Parameters for RBF Approximation”. Numerical Algorithms 45, no. 1-4 (2007): 345-68. https://doi.org/10.1007/s11075-007-9072-8.
Fasshauer GE, Zhang JG. On choosing “optimal” shape parameters for RBF approximation. Numerical Algorithms. 2007;45(1-4):345-68.
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Numerical simulation of spatio-temporal spread of an infectious disease utilizing a collocation method based on local radial basis functions Engineering with Computers
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  • Technology: Mechanical engineering and machinery
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
 2024
Spherical interpolation of scattered data using least squares thin-plate spline and inverse multiquadric functions Numerical Algorithms
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The category Science: Mathematics 252 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Stability and Error Estimates for Vector Field Interpolation and Decomposition on the Sphere with RBFs and was published in 2009. The most recent citation comes from a 2024 study titled Multinode Shepard method for two-dimensional elliptic boundary problems on different shaped domains. This article reached its peak citation in 2023, with 52 citations. It has been cited in 177 different journals, 19% of which are open access. Among related journals, the Engineering Analysis with Boundary Elements cited this research the most, with 55 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year