Suchergebnisse - "Approximation by polynomials"

Streaming Compression of Scientific Data via Weak-SINDy: Streaming compression of scientific data via weak-SINDy

Autoren: Benjamin P. Russo M. Paul Laiu Richard Archibald

Quelle: SIAM Journal on Scientific Computing. 47:C207-C234

Schlagwörter: FOS: Computer and information sciences, Artificial intelligence, Computer Science - Machine Learning, Ridge regression, shrinkage estimators (Lasso), Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Dynamical Systems (math.DS), streaming data, online compression, surrogate modeling, Machine Learning (cs.LG), Approximation by polynomials, proper orthogonal decomposition, 37M10, 62J07, 65L60, 41A10, 68T99, 68V99, FOS: Mathematics, Time series analysis of dynamical systems, Mathematics - Dynamical Systems, Computer science support for mathematical research and practice

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2308.14962

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

Autoren: Víctor Bayona Argyrios Petras Cécile Piret et al.

Weitere Verfasser: Víctor Bayona Argyrios Petras Cécile Piret et al.

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

Schlagwörter: 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

Dateibeschreibung: application/pdf; application/xml

Zugangs-URL: http://arxiv.org/abs/2412.14761
https://hdl.handle.net/10016/46963

Vallée Poussin sums of rational Fourier–Chebyshev integral operators and approximations of the Markov function: Vallée Poussin sums of rational Fourier-Chebyshev integral operators and approximations of the Markov function

Autoren: Potseiko, P. G. Rovba, E. A.

Quelle: St. Petersburg Mathematical Journal. 35:879-896

Schlagwörter: Approximation by polynomials, Curves in Euclidean and related spaces, Inequalities and extremum problems involving convexity in convex geometry, Vallée Poussin sums, uniform rational approximations, Markov function, rational integral operators, Laplace method, 0102 computer and information sciences, Convex sets in \(2\) dimensions (including convex curves), asymptotic estimates, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7959312
https://doi.org/10.1090/spmj/1834

Low rank approximation in the computation of first kind integral equations with TauToolbox

Autoren: Paulo B. Vasconcelos Laurence Grammont Nilson J. Lima et al.

Weitere Verfasser: Paulo B. Vasconcelos Laurence Grammont Nilson J. Lima et al.

Quelle: Applied Numerical Mathematics. 205:1-15

Schlagwörter: Approximation by polynomials Fredholm integral equations Ill-posed problems Computational methods, [MATH]Mathematics [math]

The enriched multinode Shepard collocation method for solving elliptic problems with singularities

Autoren: Dell'Accio F. Di Tommaso F. Francomano E.

Quelle: Applied Numerical Mathematics. 205:87-100

Schlagwörter: Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, approximation by rational functions, multinode Shepard method, Elliptic PDEs, elliptic PDEs, Asymptotic expansions of solutions to PDEs, Approximation by rational functions, Motz problem, Approximation by polynomials, collocation method, Numerical interpolation, Multinode Shepard method, Spectral, collocation and related methods for boundary value problems involving PDEs, Collocation method

Dateibeschreibung: application/xml

A fractional hybrid function composed of block-pulses and fractional Fibonacci polynomials for solving multiterm fractional variable-order differential equations

Autoren: Octavian Postavaru Antonela Toma

Quelle: Computational and Applied Mathematics. 44

Schlagwörter: Approximation by polynomials, approximation by polynomials, Fractional ordinary differential equations, fractional derivatives and integrals

Dateibeschreibung: application/xml

A Multi-domain Spectral Method with Mapping Techniques for the Fokker-Planck Equation in Irregular Domains: A multi-domain spectral method with mapping techniques for the Fokker-Planck equation in irregular domains

Autoren: Wang, Chuan Wang, Zicheng Wang, Zhongqing

Quelle: Journal of Scientific Computing. 102

Schlagwörter: Approximation by polynomials, Error bounds for initial value and initial-boundary value problems involving PDEs, convergence, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, multi-domain spectral method, coordinate transformations, Fokker-Planck equation, irregular domains, Fokker-Planck equations, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Dateibeschreibung: application/xml

APPROXIMATION OF FUNCTIONS IN THE GENERALIZED ZYGMUND CLASS USING PRODUCT MEANS OF DERIVED FOURIER SERIES: Approximation of functions in the generalized Zygmund class using product means of derived Fourier series

Autoren: Jauhari, Aradhana Dutt Kumar, Santosh

Quelle: jnanabha. 54:295-305

Schlagwörter: Approximation by polynomials, matrix \((\Delta)\) means, Fourier series and coefficients in several variables, Cesàro, Euler, Nörlund and Hausdorff methods, Conjugate functions, conjugate series, singular integrals, derived Fourier series, matrix-Euler \((\Delta E_q)\) means, Rate of convergence, degree of approximation, Fourier series, generalised Zygmund class

Dateibeschreibung: application/xml

On approximating properties of blended variant of Kantorovich-Stancu type Lupaş operators

Autoren: Khan, Taqseer Malik, Gufran Mursaleen, M.

Quelle: Applicable Analysis and Discrete Mathematics. 18:387-407

Schlagwörter: Approximation by polynomials, Voronovskaja theorems, \(\mathfrak{q}\)-statistical convergence, modulus of continuity, Approximation by positive operators, blendid-Stancu-Lupaş operators, Rate of convergence, degree of approximation, Convergence and divergence of series and sequences of functions, Korovkin theorem

Dateibeschreibung: application/xml

Geometric properties of the lattice of polynomials with integer coefficients

Autoren: Artur Lipnicki Marek J. �mieta�ski

Quelle: Opuscula Mathematica, Vol 44, Iss 4, Pp 565-585 (2024)

Schlagwörter: T57-57.97, Applied mathematics. Quantitative methods, approximation by polynomials with integer coefficients, covering radius, roots of polynomial, lattice

On the Representation and Learning of Monotone Triangular Transport Maps: On the representation and learning of monotone triangular transport maps

Autoren: Baptista, Ricardo Marzouk, Youssef Zahm, Olivier et al.

Weitere Verfasser: Baptista, Ricardo Marzouk, Youssef Zahm, Olivier et al.

Quelle: Foundations of Computational Mathematics. 24:2063-2108

Schlagwörter: FOS: Computer and information sciences, Computer Science - Machine Learning, Optimal transportation, Monotone functions, infinite-dimensional optimization, Machine Learning (stat.ML), 02 engineering and technology, Wavelets, wavelets, Statistics - Computation, 01 natural sciences, Machine Learning (cs.LG), Methodology (stat.ME), Approximation by polynomials, normalizing flows, [STAT.ML]Statistics [stat]/Machine Learning [stat.ML], Statistics - Machine Learning, Knothe-Rosenblatt rearrangement, density estimation, adaptive approximation, 62G07, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, 0101 mathematics, multivariate polynomials, Statistics - Methodology, Computation (stat.CO), Knothe–Rosenblatt rearrangement, Infinite-dimensional optimization, monotone functions, 49Q22, [STAT.ML] Statistics [stat]/Machine Learning [stat.ML], Functional Analysis (math.FA), Multivariate polynomials, Mathematics - Functional Analysis, Density estimation, Transportation of measure, 65C20, Computational methods for problems pertaining to statistics, Normalizing flows, Adaptive approximation

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: http://arxiv.org/abs/2009.10303
https://zbmath.org/7963971
https://doi.org/10.1007/s10208-023-09630-x

Polynomial Approximation on $$C^2$$-Domains: Polynomial approximation on \(C^2\)-domains

Autoren: Dai, Feng Prymak, Andriy

Quelle: Constructive Approximation. 60:463-514

Schlagwörter: Multidimensional problems, \(C^2\)-domains, Numerical Analysis (math.NA), Numerical quadrature and cubature formulas, 01 natural sciences, Approximate quadratures, Approximation by polynomials, Inverse theorems in approximation theory, modulus of smoothness, Mathematics - Classical Analysis and ODEs, polynomial approximation, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 41A10, 41A17, 41A27, 41A63, 41A55, 65D32, Jackson inequality, Mathematics - Numerical Analysis, 0101 mathematics, inverse theorem, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), 41A10, 41A17, 41A27, 41A63 (Primary), 41A55, 65D32 (Secondary)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/1910.11719
http://arxiv.org/abs/2206.01544
https://zbmath.org/7954206
https://doi.org/10.1007/s00365-023-09669-7

Optimal approximation of infinite-dimensional holomorphic functions II: Recovery from i.i.d. pointwise samples: Optimal approximation of infinite-dimensional holomorphic functions. II: Recovery from i.i.d. pointwise samples

Autoren: Adcock, Ben Dexter, Nick Moraga, Sebastian

Quelle: Journal of Complexity. 89:101933

Schlagwörter: pointwise samples, Approximation by polynomials, Complexity and performance of numerical algorithms, 65D40, 41A10, 41A63, 65Y20, 41A25, Multidimensional problems, holomorphic functions, FOS: Mathematics, Numerical approximation of high-dimensional functions, sparse grids, information complexity, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), high-dimensional approximation

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2310.16940

Hermite and Hermite–Fejér interpolation at Pollaczek zeros

Autoren: Giuseppe Mastroianni Incoronata Notarangelo

Quelle: Calcolo. 62

Schlagwörter: Hermite interpolation, Hermite–Fejér interpolation, Weighted polynomial approximation, Orthogonal polynomials, Pollaczek-type zeros, Exponential weights

Dateibeschreibung: application/pdf

Zugangs-URL: https://link.springer.com/article/10.1007/s10092-024-00630-z
https://hdl.handle.net/2318/2034111
https://doi.org/10.1007/s10092-024-00630-z

Vanishing Moments of Wavelets on p-adic Fields: Vanishing moments of wavelets on \(p\)-adic fields

Autoren: Athira, N. Lineesh, M. C.

Quelle: Complex Analysis and Operator Theory. 19

Schlagwörter: approximation order, Nontrigonometric harmonic analysis involving wavelets and other special systems, pseudo-differential operator, vanishing moment, Functional Analysis (math.FA), Mathematics - Functional Analysis, 11E95, 11F85, 41A10, 42C40, 43A70, \(p\)-adic field, Approximation by polynomials, Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions, non-Archimedean functional analysis, compact support, refinable function, FOS: Mathematics, \(p\)-adic wavelets, Analysis on specific locally compact and other abelian groups

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2406.05368

Robust and accurate numerical framework for multi-dimensional fractional-order telegraph equations using Jacobi/Jacobi-Romanovski spectral technique

Autoren: M. A. Abdelkawy Mohammad Izadi Waleed Adel

Quelle: Boundary Value Problems, Vol 2024, Iss 1, Pp 1-26 (2024)

Schlagwörter: QA299.6-433, Liouville-Caputo fractional derivative, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Collocation points, error bound, Fractional telegraph differential equations, Fractional partial differential equations, Approximation by polynomials, Error bounds for initial value and initial-boundary value problems involving PDEs, Jacobi polynomials, Error bound, fractional telegraph differential equations, collocation points, Romanovski-Jacobi functions, Analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7978374
https://doi.org/10.1186/s13661-024-01944-1
https://doaj.org/article/9d8e5342c0864c2ea750939c85fc6ffe

On a generalization of the extended best polynomial approximation operator in Orlicz–Lorentz spaces

Autoren: Gareis, María Inés Kovac, Federico Dario Levis, Fabián Eduardo

Quelle: Mathematische Nachrichten. 296:3328-3343

Schlagwörter: EXTENSION OF OPERATORS, 0101 mathematics, 01 natural sciences, APPROXIMATION BY POLYNOMIALS, ORLICZ–LORENTZ SPACES

Dateibeschreibung: application/pdf

Zugangs-URL: http://hdl.handle.net/11336/219645

Approximation of the Hilbert transform on $(0,+\infty)$ by using discrete de la Vall\'ee Poussin filtered polynomials

Autoren: Occorsio, Donatella

Quelle: Volume: 7, Issue: Special Issue: AT&A114-128
Constructive Mathematical Analysis

Schlagwörter: Numerical Analysis, Sayısal Analiz, Hilbert transform, discrete de la Vallée-Poussin approximation, Approximation by polynomials

Dateibeschreibung: application/pdf

Zugangs-URL: https://dergipark.org.tr/tr/pub/cma/issue/84789/1541668

On approximation properties of some non-positive Bernstein-Durrmeyer type operators

Autoren: Vasian Bianca Ioana

Quelle: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 31, Iss 1, Pp 251-269 (2023)

Schlagwörter: Linear operator approximation theory, primary 47a58, 41a25, Rate of convergence, degree of approximation, Norms (inequalities, more than one norm, etc.) of linear operators, non-positive operators, secondary 47a30, 41a10, linear operators, Approximation by polynomials, bernstein-durrmeyer type operators, QA1-939, quantitative results, approximation by operators, Bernstein-Durrmeyer type operators, Mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/8036475
https://doi.org/10.2478/auom-2023-0014
https://doaj.org/article/e17ed30ed6c1458fb95ffcc52febb17d

Abel universal functions

Autoren: Charpentier, Stéphane Mouze, Augustin

Weitere Verfasser: Charpentier, Stéphane Mouze, Augustin

Quelle: Canadian Journal of Mathematics. 75:1957-1985

Schlagwörter: Approximation by polynomials, universal functions, universal sequence of operators, Convergence and divergence of series and sequences, Cyclic vectors, hypercyclic and chaotic operators, [MATH] Mathematics [math], Universal Taylor series in one complex variable, 0101 mathematics, boundary behavior, 01 natural sciences

Dateibeschreibung: application/xml