Results 1 to 10 of about 50,655 (282)
Numerical solution of potential problems using radial basis reproducing kernel particle method
Results in Physics, 2019 The paper presents the radial basis reproducing kernel particle method (RRKPM) for potential problems. The proposed RRKPM can eliminate the negative effect of different reproducing kernel functions (RKF) on computational stability and accuracy.
Hongfen Gao, Gaofeng Wei
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Probability Error Bounds for Approximation of Functions in Reproducing Kernel Hilbert Spaces
Journal of Function Spaces, 2021 We find probability error bounds for approximations of functions f in a separable reproducing kernel Hilbert space H with reproducing kernel K on a base space X, firstly in terms of finite linear combinations of functions of type Kxi and then in terms of
Ata Deniz Aydın, Aurelian Gheondea
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New Numerical Method for Solving Tenth Order Boundary Value Problems
Mathematics, 2018 In this paper, we implement reproducing kernel Hilbert space method to tenth order boundary value problems. These problems are important for mathematicians. Different techniques were applied to get approximate solutions of such problems.
Ali Akgül +3 more
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Composition-Differentiation Operator on the Bergman Space
Pan-American Journal of Mathematics, 2023 We investigate the properties of composition-differentiation operator Dψ on the Bergman space of the unit disk L2a(D). Specifically, we characterize the properties of the reproducing kernel for the derivatives of the Bergman space functions. Moreover, we
K. O. Aloo, J. O. Bonyo, I. Okello
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Enriched Reproducing Kernel Approximation: Reproducing Functions with Discontinuous Derivatives [PDF]
, 2006 In this paper we propose a new approximation technique within the context of meshless methods able to reproduce functions with discontinuous derivatives. This approach involves some concepts of the reproducing kernel particle method (RKPM), which have been extended in order to reproduce functions with discontinuous derivatives.
Joyot, Pierre +2 more
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A functional decomposition of finite bandwidth reproducing kernel Hilbert spaces [PDF]
Operators and Matrices, 2021 In this work, we consider "finite bandwidth" reproducing kernel Hilbert spaces which have orthonormal bases of the form $f_n(z)=z^n \prod_{j=1}^J \left( 1 - a_{n}w_j z \right)$, where $w_1 ,w_2, \ldots w_J $ are distinct points on the circle $\mathbb{T}$ and $\{ a_n \}$ is a sequence of complex numbers with limit $1$.
Adams, Gregory T., Wagner, Nathan A.
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The meshless analysis of wave equations based on the RRKPM
Results in Physics, 2020 In this paper, the method of radial basis function (RBF) is employed to construct the approximating function of the reproducing kernel particle method (RKPM), which can reduce the adverse effect of different kernel functions on computational accuracy and
Jichao Ma +3 more
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Advances in Difference Equations, 2021 This paper deals with the generalized Bagley–Torvik equation based on the concept of the Caputo–Fabrizio fractional derivative using a modified reproducing kernel Hilbert space treatment.
Shatha Hasan +5 more
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Alexandria Engineering Journal, 2022 The point of this paper is to analyze and investigate the analytic-approximate solutions for fractional system of Volterra integro-differential equations in framework of Caputo-Fabrizio operator.
Fatima Youbi +3 more
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Structured Functional Additive Regression in Reproducing Kernel Hilbert Spaces [PDF]
Journal of the Royal Statistical Society Series B: Statistical Methodology, 2013 SummaryFunctional additive models provide a flexible yet simple framework for regressions involving functional predictors. The utilization of a data-driven basis in an additive rather than linear structure naturally extends the classical functional linear model.
Hongxiao, Zhu +2 more
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