Hermite interpolation of multivariable function given at scattered points
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RIS BIB ENDNOTEHermite interpolation of multivariable function given at scattered points
Publication date: 25.08.2017
Technical Transactions, 2017, Volume 8 Year 2017 (114), pp. 199-205
https://doi.org/10.4467/2353737XCT.17.142.6893Authors
Hermite interpolation of multivariable function given at scattered points
The paper shows the approach to the interpolation of scattered data which includes not only function values, but also values of derivatives of the function. To this end, an interpolant composed of radial basis functions is used and extended by terms possessing appropriate derivative terms. The latter match the given derivatives. Special attention is paid to the problem of choosing the value of the shape parameter, which is included in radial functions and influences the accuracy and stability of the solution. To validate the method, several numerical tests are carried out in the paper.
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Information: Technical Transactions, 2017, Volume 8 Year 2017 (114), pp. 199-205
Article type: Original article
Titles:
Hermite interpolation of multivariable function given at scattered points
Hermite interpolation of multivariable function given at scattered points
Institute of Applied Informatics, Faculty of Mechanical Engineering, Cracow University of Technology
Cracow University of Technology
Published at: 25.08.2017
Article status: Open
Licence: None
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