Title 



Shape control in multivariate barycentric rational interpolation


Author 





Abstract 



The most stable formula for a rational interpolant for use on a finite interval is the barycentric form [1, 2]. A simple choice of the barycentric weights ensures the absence of (unwanted) poles on the real line [3]. In [4] we indicate that a more refined choice of the weights in barycentric rational interpolation can guarantee comonotonicity and coconvexity of the rational interpolant in addition to a polefree region of interest.In this presentation we generalize the above to the multivariate case. We use a productlike form of univariate barycentric rational interpolants and indicate how the location of the poles and the shape of the function can be controlled. This functionality is of importance in the construction of mathematical models that need to express a certain trend, such as in probability distributions, economics, population dynamics, tumor growth models etc.  

Language 



English


Source (journal) 



AIP conference proceedings / American Institute of Physics.  New York 

Publication 



New York : 2010


ISSN 



0094243X


Volume/pages 



1281(2010), p. 543548


ISI 



000289661500146


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