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1Academic Journal
Authors: Sun, Zhengjie, Ling, Leevan, Zhang, Ran
Source: Communications in Computational Physics. 37:289-314
Subject Terms: 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
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2Academic Journal
Authors: Víctor Bayona, Argyrios Petras, Cécile Piret, Steven J. Ruuth
Contributors: Comunidad de Madrid
Source: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)Subject Terms: 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
File Description: application/pdf; application/xml
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3Academic Journal
Source: Journal of Applied Mathematics and Computing. 70:4581-4599
Subject Terms: 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
Linked Full TextFile Description: application/xml
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4Academic Journal
Authors: R. Pasupathi, null Vijay, A. K. B. Chand, N. S. Upadhye
Source: The Journal of Analysis. 32:3197-3226
Subject Terms: 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
Linked Full TextFile Description: application/xml
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5Academic Journal
Authors: Shevaldin, V. T.
Source: Mathematical Notes. 115:1017-1029
Subject Terms: formally self-adjoint differential operator, minimal norm, extremal interpolation, uniform mesh, spline, Interpolation in approximation theory
Linked Full TextFile Description: application/xml
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6Academic Journal
Authors: Kristof Albrecht, Juliane Entzian, Armin Iske
Source: Advances in Computational Mathematics. 51
Subject Terms: 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
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Linked Full TextAccess URL: http://arxiv.org/abs/2312.09949
https://zbmath.org/8023797
https://doi.org/10.1007/s10444-025-10226-y -
7Academic Journal
Authors: Lei, Min, Liu, Li, Wen, P. H.
Source: Engineering Analysis with Boundary Elements. 155:440-451
Subject Terms: 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
Linked Full TextFile Description: application/xml
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8Academic Journal
Authors: Kristof Albrecht, Armin Iske
Source: BIT Numerical Mathematics. 65
Subject Terms: 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
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Linked Full TextAccess URL: http://arxiv.org/abs/2407.03840
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9Academic Journal
Authors: Ludovico Bruni Bruno, Wolfgang Erb
Source: BIT Numerical Mathematics. 65
Subject Terms: 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
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Linked Full TextAccess URL: http://arxiv.org/abs/2403.09378
https://zbmath.org/7964459
https://doi.org/10.1007/s10543-024-01047-4 -
10Academic Journal
Authors: Shevaldin, V. T.
Source: Mathematical Notes. 113:446-452
Subject Terms: Spline approximation, generalized finite difference, uniform grid, differential operator, semiaxis, Interpolation in approximation theory, local interpolation
Linked Full TextFile Description: application/xml
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11Academic Journal
Authors: Bouthat, LudovickAff1, IDs43670024000888_cor1
Linked Full TextSource: Sampling Theory, Signal Processing, and Data Analysis. 22(1)
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12Academic Journal
Authors: Vertesi, P.
Source: Publicationes Mathematicae Debrecen. 23:229-234
Subject Terms: Approximation by polynomials, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory
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Access URL: https://zbmath.org/3563642
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13Academic Journal
Authors: Santa, J.
Source: Publicationes Mathematicae Debrecen. 22:23-29
Subject Terms: 0101 mathematics, 01 natural sciences, Interpolation in approximation theory
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Access URL: https://zbmath.org/3514367
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14Academic Journal
Authors: Kumar, V.
Source: Publicationes Mathematicae Debrecen. 24:31-37
Subject Terms: 0101 mathematics, 01 natural sciences, Interpolation in approximation theory
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Access URL: https://zbmath.org/3595684
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15Academic Journal
Authors: Kumar, V.
Source: Publicationes Mathematicae Debrecen. 25:285-290
Subject Terms: Approximation by polynomials, Interpolatory Polynomials, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory, Hermite-Fejer Interpolation Processes
File Description: application/xml
Access URL: https://zbmath.org/3611866
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16Academic Journal
Authors: Szabó, S.
Source: Publicationes Mathematicae Debrecen. 39:339-345
Subject Terms: Hermite interpolating process, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory
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Access URL: https://zbmath.org/61530
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17Academic Journal
Authors: Eneduanya, S. A. N.
Source: Publicationes Mathematicae Debrecen. 31:235-241
Subject Terms: 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
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18Academic Journal
Authors: Balázs, K., Joó, I.
Source: Publicationes Mathematicae Debrecen. 38:247-253
Subject Terms: Approximation by polynomials, Lagrange interpolation, Laguerre polynomials, Hermite interpolation, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory
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Access URL: https://zbmath.org/22000
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19Academic Journal
Authors: Subbotin, Yurii N., Shevaldin, Valerii T.
Source: Sbornik: Mathematics. 213:556-577
Subject Terms: 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
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20Academic Journal
Subject Terms: 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
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Access URL: http://arxiv.org/abs/2403.18809