Search Results - "multivariate polynomial approximation"

Chebyshev Multivariate Polynomial Approximation and Point Reduction Procedure by Sukhorukova, Nadezda, Ugon, Julien, Yost, David

“…We apply the methods of nonsmooth and convex analysis to extend the study of Chebyshev (uniform) approximation for univariate polynomial functions to the case…”
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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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Transient security assessment using multivariate polynomial approximation by Jayasekara, B., Annakkkage, U.D.

“…This paper presents an efficient method for transient security assessment. The proposed method exploits the computational efficiency of linear estimation…”
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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…”
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A new multivariate quadrature rule for calculating statistical moments of stochastic response by Xiao, Qing

“…As a derivative-free algorithm, the multivariate quadrature rule has been widely used to calculate statistical moments of the output of a system with uncertain…”
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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 ≥ 2 , which approximate f with Jackson‐type rate involving a multivariate…”
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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.

“…This work proposes and analyzes an anisotropic sparse grid stochastic collocation method for solving partial differential equations with random coefficients…”
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A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data by Babuška, Ivo, Nobile, Fabio, Tempone, Raúl

“…This work proposes and analyzes a stochastic collocation method for solving elliptic partial differential equations with random coefficients and forcing terms…”
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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

“…In this work we consider quasi-optimal versions of the Stochastic Galerkin method for solving linear elliptic PDEs with stochastic coefficients. In particular,…”
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Optimal polynomial admissible meshes on some classes of compact subsets of Rd by Piazzon, Federico

“…We show that any compact subset of Rd which is the closure of a bounded star-shaped Lipschitz domain Ω, such that ∁Ω has positive reach in the sense of…”
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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…”
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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…”
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Asymptotic expansions for multivariate polynomial approximation by Walz, Guido

“…In this paper the approximation of multivariate functions by (multivariate) Bernstein polynomials is considered. Building on recent work of Lai (J. Approx…”
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Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points by Migliorati, Giovanni, Nobile, Fabio, Tempone, Raúl

“…We study the accuracy of the discrete least-squares approximation on a finite-dimensional space of a real-valued target function from noisy pointwise…”
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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…”
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Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients by Nobile, F., Tempone, Raul

“…We consider the problem of numerically approximating statistical moments of the solution of a time‐dependent linear parabolic partial differential equation…”
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Construction of multivariate polynomial approximation kernels via semidefinite programming by Kirschner, Felix, Etienne de Klerk

“…In this paper we construct a hierarchy of multivariate polynomial approximation kernels via semidefinite programming…”
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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 analyze the stability and accuracy of discrete least squares on multivariate polynomial spaces to approximate a given function depending on a multivariate…”
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Discrete Least-Squares Approximations over Optimized Downward Closed Polynomial Spaces in Arbitrary Dimension by Cohen, Albert, Migliorati, Giovanni, Nobile, Fabio

“…We analyze the accuracy of the discrete least-squares approximation of a function u in multivariate polynomial spaces P Λ : = span { y ↦ y ν : ν ∈ Λ } with Λ ⊂…”
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Asymptotic expansions for multivariate polynomial approximation: Numerical analysis 2000. Vol. II: Interpolation and extrapolation by WALZ, Guido

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