Výsledky vyhľadávania - "Interpolation in approximation theory"

Learning PDEs from Data on Closed Surfaces with Sparse Optimization: Learning PDEs from data on closed surfaces with sparse optimization

Autori: Sun, Zhengjie Ling, Leevan Zhang, Ran

Zdroj: Communications in Computational Physics. 37:289-314

Predmety: meshless methods, data-driven modeling, Numerical radial basis function approximation, FOS: Mathematics, FOS: Physical sciences, surface PDE, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Mathematical Physics (math-ph), sparse optimization, Interpolation in approximation theory, Mathematical Physics

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2405.06199
https://zbmath.org/8033878
https://doi.org/10.4208/cicp.oa-2024-0112

A Meshfree RBF-FD Constant along Normal Method for Solving PDEs on Surfaces: A meshfree RBF-FD constant along normal method for solving PDEs on surfaces

Autori: Víctor Bayona Argyrios Petras Cécile Piret a ďalší

Prispievatelia: Víctor Bayona Argyrios Petras Cécile Piret a ďalší

Zdroj: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)

Predmety: Finite difference methods for boundary value problems involving PDEs, Matemáticas, Closest point method, Meshfree, Numerical Analysis (math.NA), meshfree, Numerical differentiation, Approximation by polynomials, Spline approximation, High-order methods, Numerical interpolation, Finite difference methods for initial value and initial-boundary value problems involving PDEs, high-order methods, PDEs on surfaces, FOS: Mathematics, RBF-FD, Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, Interpolation in approximation theory, Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs, closest point method

Popis súboru: application/pdf; application/xml

Prístupová URL adresa: http://arxiv.org/abs/2412.14761
https://hdl.handle.net/10016/46963

The approximation capabilities of Durrmeyer-type neural network operators

Autori: Lucian Coroianu Danilo Costarelli Mariarosaria Natale a ďalší

Zdroj: Journal of Applied Mathematics and Computing. 70:4581-4599

Predmety: Lebesgue spaces, order of approximation, modulus of continuity, quantitative estimates, 0202 electrical engineering, electronic engineering, information engineering, Rate of convergence, degree of approximation, 02 engineering and technology, Durrmeyer-type neural network operators, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/8035074
https://doi.org/10.1007/s12190-024-02146-9

Zipper rational fractal interpolation functions

Autori: R. Pasupathi null Vijay A. K. B. Chand a ďalší

Zdroj: The Journal of Analysis. 32:3197-3226

Predmety: Approximation by rational functions, Fractals, convexity, positivity, Numerical interpolation, rational cubic spline, zipper, fractal interpolation function, monotonicity, Interpolation in approximation theory, Real rational functions, Numerical computation using splines

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/7965080
https://doi.org/10.1007/s41478-024-00796-3

Yu. N. Subbotin’s Method in the Problem of Extremal Interpolation in the Mean in the Space $$L_p(\mathbb R)$$ with Overlapping Averaging Intervals: Yu. N. Subbotin's method in the problem of extremal interpolation in the mean in the space \(L_p(\mathbb{R})\) with overlapping averaging intervals

Autori: Shevaldin, V. T.

Zdroj: Mathematical Notes. 115:1017-1029

Predmety: formally self-adjoint differential operator, minimal norm, extremal interpolation, uniform mesh, spline, Interpolation in approximation theory

Popis súboru: application/xml

Product kernels are efficient and flexible tools for high-dimensional scattered data interpolation

Autori: Kristof Albrecht Juliane Entzian Armin Iske

Zdroj: Advances in Computational Mathematics. 51

Predmety: greedy algorithms, product kernels, kernel-based approximation, FOS: Mathematics, Rate of convergence, degree of approximation, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Interpolation in approximation theory, Approximation by other special function classes

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2312.09949
https://zbmath.org/8023797
https://doi.org/10.1007/s10444-025-10226-y

Fast finite integration method with variational limit for multi-dimensional partial differential equations

Autori: Lei, Min Liu, Li Wen, P. H.

Zdroj: Engineering Analysis with Boundary Elements. 155:440-451

Predmety: variational limit, trapezoidal rule, Spectral, collocation and related methods for boundary value problems involving PDEs, finite integration method, Simpson rule, multi-dimensional PDEs, Interpolation in approximation theory

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/7849411
https://doi.org/10.1016/j.enganabound.2023.06.008

On the convergence of generalized kernel-based interpolation by greedy data selection algorithms

Autori: Kristof Albrecht Armin Iske

Zdroj: BIT Numerical Mathematics. 65

Predmety: greedy data selection algorithms, generalized kernel-based interpolation, FOS: Mathematics, Rate of convergence, degree of approximation, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), multivariate scattered data approximation, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory, Approximation by other special function classes

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2407.03840

The Fekete problem in segmental polynomial interpolation

Autori: Ludovico Bruni Bruno Wolfgang Erb

Zdroj: BIT Numerical Mathematics. 65

Predmety: Numerical interpolation, polynomial approximation of differential forms, FOS: Mathematics, segmental polynomial interpolation, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), optimal design of segments, Interpolation in approximation theory, Fekete problem, 41A05, 41A25, A1A30, 65D05

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2403.09378
https://zbmath.org/7964459
https://doi.org/10.1007/s10543-024-01047-4

Local Extremal Interpolation on the Semiaxis with the Least Value of the Norm for a Linear Differential Operator: Local extremal interpolation on the semiaxis with the least value of the norm for a linear differential operator

Autori: Shevaldin, V. T.

Zdroj: Mathematical Notes. 113:446-452

Predmety: Spline approximation, generalized finite difference, uniform grid, differential operator, semiaxis, Interpolation in approximation theory, local interpolation

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/7676235
https://doi.org/10.1134/s0001434623030148

On the mean convergence of interpolatory processes

Autori: Vertesi, P.

Zdroj: Publicationes Mathematicae Debrecen. 23:229-234

Predmety: Approximation by polynomials, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/3563642

Convergence theorems of quasi-Hermite--Fejér interpolation: Convergence theorems of quasi-Hermite-Fejer interpolation

Autori: Santa, J.

Zdroj: Publicationes Mathematicae Debrecen. 22:23-29

Predmety: 0101 mathematics, 01 natural sciences, Interpolation in approximation theory

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/3514367

Convergence of Hermite--Fejér interpolation polynomial on the extended nodes: Convergence of Hermite-Fejer interpolation polynomial on the extended nodes

Autori: Kumar, V.

Zdroj: Publicationes Mathematicae Debrecen. 24:31-37

Predmety: 0101 mathematics, 01 natural sciences, Interpolation in approximation theory

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/3595684

Some extended Hermite--Fejér interpolation processes and their convergence: Some extended Hermite-Fejer interpolation processes and their convergence

Autori: Kumar, V.

Zdroj: Publicationes Mathematicae Debrecen. 25:285-290

Predmety: Approximation by polynomials, Interpolatory Polynomials, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory, Hermite-Fejer Interpolation Processes

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/3611866

Estimate of the rate of mean convergence of Hermite interpolating processes

Autori: Szabó, S.

Zdroj: Publicationes Mathematicae Debrecen. 39:339-345

Predmety: Hermite interpolating process, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/61530

On the Lebesgue function on infinite interval. I

Autori: Eneduanya, S. A. N.

Zdroj: Publicationes Mathematicae Debrecen. 31:235-241

Predmety: orthonormal polynomial, orthonormal Hermite polynomials, Lebesgue functions, weight function, Christoffel functions, Lagrange interpolation, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, 01 natural sciences, Interpolation in approximation theory, Laguere polynomials

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/3905184
https://zbmath.org/4063755

On speed of mean convergence of Lagrange and Hermite interpolation based on the roots of Laguerre polynomials

Autori: Balázs, K. Joó, I.

Zdroj: Publicationes Mathematicae Debrecen. 38:247-253

Predmety: Approximation by polynomials, Lagrange interpolation, Laguerre polynomials, Hermite interpolation, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/22000

Extremal functional -interpolation on an arbitrary mesh on the real axis: Extremal functional \(L_p\)-interpolation on an arbitrary mesh on the real axis

Autori: Subbotin, Yurii N. Shevaldin, Valerii T.

Zdroj: Sbornik: Mathematics. 213:556-577

Predmety: Best approximation, Chebyshev systems, Spline approximation, extremal interpolation, derivative, divided difference, difference equation, spline, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory, Numerical computation using splines

Popis súboru: application/xml

$L^\infty$-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition: \( L^\infty\)-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition

Autori: Köhne, Frederik Philipp, Friedrich M. Schaller, Manuel a ďalší

Predmety: Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Linear composition operators, Numerical radial basis function approximation, Dynamical Systems (math.DS), Numerical Analysis (math.NA), Approximation methods and numerical treatment of dynamical systems, interpolation, kernel EDMD, 37M99, 41A05, 47B32, 47B33, 65D12, FOS: Mathematics, regression, uniform error bounds, Mathematics - Numerical Analysis, Mathematics - Dynamical Systems, Koopman operator, reproducing kernel Hilbert space, Interpolation in approximation theory

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2403.18809

A note on non existence of interpolatory polynomials for (0, 2)-interpolation: A note on non existence of interpolatory polynomials for (0,2)- interpolation

Autori: Prasad, J.

Zdroj: Publicationes Mathematicae Debrecen. 26:38-40

Predmety: Jacobi polynomial, Approximation by polynomials, interpolatory polynomials, (0,2)-interpolation, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/3783606
https://zbmath.org/3686034