Results 41 to 50 of about 93,551 (286)
Revisit Sparse Polynomial Interpolation based on Randomized Kronecker Substitution
, 2018 In this paper, a new reduction based interpolation algorithm for black-box multivariate polynomials over finite fields is given. The method is based on two main ingredients.
A Arnold +17 more
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Fast Computation of Minimal Interpolation Bases in Popov Form for Arbitrary Shifts [PDF]
, 2016 We compute minimal bases of solutions for a general interpolation problem, which encompasses Hermite-Pad\'e approximation and constrained multivariate interpolation, and has applications in coding theory and security.
Jeannerod, Claude-Pierre +3 more
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Multivariate Anisotropic Interpolation on the Torus
, 2014 We investigate the error of periodic interpolation, when sampling a function on an arbitrary pattern on the torus. We generalize the periodic Strang-Fix conditions to an anisotropic setting and provide an upper bound for the error of interpolation. These
C Boor de +11 more
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The proper interpolation space for multivariate Birkhoff interpolation
Journal of Computational and Applied Mathematics, 2011 The authors generalize the theory to solve Birkhoff interpolation problems. They give two algorithms to compute the basis of minimal interpolation space. They introduce these algorithms to compute the minimal interpolation monomial basis and the lower interpolation monomial basis, respectively.
Junjie Chai +3 more
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Monotonicity preserving approximation of multivariate scattered data [PDF]
, 2005 This paper describes a new method of monotone interpolation and smoothing of multivariate scattered data. It is based on the assumption that the function to be approximated is Lipschitz continuous.
Beliakov, Gleb
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Generalized recursive multivariate interpolation [PDF]
Mathematics of Computation, 1972 A generalized recursive interpolation technique for a set of linear functionals over a set of general univariate basis functions has been previously developed. This paper extends these results to restricted multivariate interpolation over a set of general multivariate basis functions. When the data array is a suitable configuration (e.g., an n
openaire +1 more source
Multivariate Interpolation Functions of Higher-Order q-Euler Numbers and Their Applications
Abstract and Applied Analysis, 2008 The aim of this paper, firstly, is to construct generating functions of q-Euler numbers and polynomials of higher order by applying the fermionic p-adic q-Volkenborn integral, secondly, to define multivariate q-Euler zeta function (Barnes-type Hurwitz q ...
Hacer Ozden +2 more
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Partition of Unity Interpolation on Multivariate Convex Domains
, 2014 In this paper we present a new algorithm for multivariate interpolation of scattered data sets lying in convex domains $\Omega \subseteq \RR^N$, for any $N \geq 2$.
Cavoretto, Roberto +2 more
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Multivariate Polynomial Interpolation for Cubical Zero-Dimensional Schemes
AxiomsWe compute the multigraded Hilbert function of general unions of certain degree-8 zero-dimensional schemes, called 2cubes, for the Segre 3-folds and the three-dimensional smooth quadric hypersurface.
Edoardo Ballico
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Geography, Environment, Sustainability, 2023 A river is a naturally formed freshwater stream that traverses land and eventually flows into a lake, sea, or another body of water. River provides fresh water for human activities such as irrigation for their paddy fields, aquaculture, industrial ...
A. Darmawan +4 more
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