Search Results - multivariate polynomial approximation

SHAPE-PRESERVING MULTIVARIATE POLYNOMIAL APPROXIMATION IN C[-1,1]^m by Gal, Ciprian S., Gal, Sorin G.

“…We construct multivariate polynomials attached to a function f of m variables, m…”
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Chebyshev Multivariate Polynomial Approximation and Point Reduction Procedure by Sukhorukova, Nadezda, Ugon, Julien, Yost, David

“…) approximation for univariate polynomial functions to the case of general multivariate functions…”
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Nonlinear piecewise polynomial approximation and multivariate B V spaces of a Wiener–L. Young type. I by Brudnyi, Yu

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Multivariate approximation by polynomial and generalized rational functions by Díaz Millán, R., Peiris, V., Sukhorukova, N., Ugon, J.

“… We consider two models: multivariate polynomial approximation and multivariate generalized rational approximation…”
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First order polarization tensor approximation using multivariate polynomial interpolation method via least square minimization technique by Sukri, Suzarina Ahmed, Hoe, Yeak Su, Khairuddin, Taufiq Khairi Ahmad

“… In this regard, the computation of PT for different geometry types is basically from the quadratic interpolation and the multivariate polynomial fitting using the least square method…”
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Receiver Techniques for Diffusion-Based Molecular Nano Communications Using an Adaptive Neuro-Fuzzy-Based Multivariate Polynomial Approximation by Alshammri, Ghalib H., Ahmed, Walid K. M., Lawrence, Victor B.

“… biologically inspired techniques for the detection of the molecular pulses: 1) a multivariate polynomial approximation (MPA) scheme; 2…”
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A SPARSE GRID STOCHASTIC COLLOCATION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM INPUT DATA by NOBILE, F., TEMPONE, R., WEBSTER, C. G.

“…This work proposes and analyzes a Smolyak-type sparse grid stochastic collocation method for the approximation of statistical quantities related to the solution of partial differential equations…”
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Transient security assessment using multivariate polynomial approximation by Jayasekara, B., Annakkkage, U.D.

“… The attractiveness of this method is that the estimated function is not a linearized approximation although a linear estimation method is used…”
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Nonlinear piecewise polynomial approximation and multivariate BV spaces of a Wiener–L. Young type. I by Brudnyi, Yu

“…, to Sobolev spaces over Lp, BV and BMO and to Besov spaces. The main approximation result concerns the space Vpqk of smoothnesss≔d1p−1q∈(0,k…”
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A new multivariate quadrature rule for calculating statistical moments of stochastic response by Xiao, Qing

“…; then, a multivariate polynomial model is introduced to relate the system outputs to U, whereby a set of moment matching equations are derived to define quadrature weights and points…”
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Uniqueness of solutions in multivariate Chebyshev approximation problems by Roshchina, Vera, Sukhorukova, Nadezda, Ugon, Julien

“…We study the solution set to multivariate Chebyshev approximation problem, focussing on the ill-posed case when the uniqueness of solutions can not be established via strict polynomial separation…”
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AN ANISOTROPIC SPARSE GRID STOCHASTIC COLLOCATION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM INPUT DATA by NOBILE, F., TEMPONE, R., WEBSTER, C. G.

“… (input data of the model). The method consists of a Galerkin approximation in the space variables and a collocation, in probability space, on sparse tensor product grids utilizing either Clenshaw…”
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A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data by Babuška, Ivo, Nobile, Fabio, Tempone, Raúl

“… These input data are assumed to depend on a finite number of random variables. The method consists of a Galerkin approximation in space and a collocation in the zeros of suitable tensor product orthogonal polynomials (Gauss points…”
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Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients by Beck, Joakim, Nobile, Fabio, Tamellini, Lorenzo, Tempone, Raúl

“… We show that a quasi-optimal approximation is given by a Galerkin projection on a weighted (anisotropic…”
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Multivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index sets by Migliorati, Giovanni

“…We present novel Markov-type and Nikolskii-type inequalities for multivariate polynomials associated with arbitrary downward closed multi-index sets in any dimension…”
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Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets by Migliorati, Giovanni, Nobile, Fabio

“… We prove that the discrete least-squares approximation, in a multivariate anisotropic tensor product polynomial space and with evaluations at low-discrepancy point sets, is stable and accurate…”
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Optimal polynomial admissible meshes on some classes of compact subsets of Rd by Piazzon, Federico

“… has positive reach in the sense of Federer, admits an optimal AM (admissible mesh), that is a sequence of polynomial norming sets with optimal cardinality…”
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A polynomial-time approximation to optimal multivariate microaggregation by Domingo-Ferrer, Josep, Sebé, Francesc, Solanas, Agusti

“…Microaggregation is a family of methods for statistical disclosure control (SDC) of microdata (records on individuals and/or companies), that is, for masking…”
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OBTAINING EXACT INTERPOLATION MULTIVARIATE POLYNOMIAL BY APPROXIMATION by Feng, Yong, Qin, Xiaolin, Zhang, Jingzhong, Yuan, Xun

“… In this paper, the authors study how to obtain exact interpolation polynomial with rational coefficients by approximate interpolating methods…”
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Multivariate Polynomial Approximation of Powers of the Euclidean Distance Function by Kraus, Christiane

“…The polynomial approximation behaviour of the class of functions is studied in [Bra01]. There it is claimed that the obtained results can be embedded in a more general setting…”
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