Distribution theory and transform analysis: an introduction to generalized functions, with applications
Modeling multiple input switching of CMOS gates in DSM technology using HDMR
Proceedings of the conference on Design, automation and test in Europe: Proceedings
A tool to improve the execution time of air quality models
Environmental Modelling & Software
Introductory steps for an indexing based HDMR algorithm: lumping HDMR
MAASE'08 Proceedings of the 1st WSEAS International Conference on Multivariate Analysis and its Application in Science and Engineering
A new approach for data partitioning through high dimensional model representation
International Journal of Computer Mathematics
GUI-HDMR - A software tool for global sensitivity analysis of complex models
Environmental Modelling & Software
A reverse technique for lumping high dimensional model representation method
WSEAS Transactions on Mathematics
Hybrid high dimensional model representation (HHDMR) on the partitioned data
Journal of Computational and Applied Mathematics
A survey on univariate data interpolation and approximation by splines of given shape
Mathematical and Computer Modelling: An International Journal
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Dealing with univariate or bivariate data sets instead of a multivariate data set is an important concern in interpolation problems and computer-based applications. This paper presents a new data partitioning method that partitions the given multivariate data set into univariate and bivariate data sets and constructs an approximate analytical structure that interpolates function values at arbitrarily distributed points of the given grid. A number of numerical implementations are also given to show the performance of this new method.