Results 11 to 20 of about 170,682 (322)
Journal of Taibah University for Science, 2019 Reproducing kernel Hilbert space method is given for the solution of generalized Kuramoto–Sivashinsky equation. Reproducing kernel functions are obtained to get the solution of the generalized Kuramoto–Sivashinsky equation.
Ali Akgül, Ebenezer Bonyah
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Solving an inverse problem for a parabolic equation with a nonlocal boundary condition in the reproducing kernel space [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2014 On the basis of a reproducing kernel space, an iterative algorithm for solving the inverse problem for heat equation with a nonlocal boundary condition is presented.
Maryam Mohammadi +2 more
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Advances in Difference Equations, 2018 In this article, we propose a new method that determines an efficient numerical procedure for solving second-order fuzzy Volterra integro-differential equations in a Hilbert space.
Ghaleb N. Gumah +3 more
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Random sampling and reconstruction of concentrated signals in a reproducing kernel space [PDF]
arXiv.org, 2020 In this paper, we consider (random) sampling of signals concentrated on a bounded Corkscrew domain $\Omega$ of a metric measure space, and reconstructing concentrated signals approximately from their (un)corrupted sampling data taken on a sampling set ...
Yaxu Li, Qiyu Sun, Jun Xian
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A Kernel Affine Projection-Like Algorithm in Reproducing Kernel Hilbert Space
IEEE Transactions on Circuits and Systems - II - Express Briefs, 2020 A kernel affine projection-like algorithm (KAPLA) is proposed in reproducing kernel Hilbert space in non-Gaussian environments. The cost function for the developed algorithm is constructed by using the correntropy approach and Gaussian kernel to deal ...
Qishuai Wu +4 more
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Adaptive sampling of time-space signals in a reproducing kernel subspace of mixed Lebesgue space [PDF]
Banach Journal of Mathematical Analysis, 2019 The mixed Lebesgue space is a suitable tool for modeling and measuring signals living in time-space domains. And sampling in such spaces plays an important role for processing high-dimensional time-varying signals.
Yingchun Jiang, Wenchang Sun
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Reproducing kernel Hilbert space compactification of unitary evolution groups [PDF]
, 2018 A framework for coherent pattern extraction and prediction of observables of measure-preserving, ergodic dynamical systems with both atomic and continuous spectral components is developed.
D. Giannakis +2 more
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Interpreting the dual Riccati equation through the LQ reproducing kernel
Comptes Rendus. Mathématique, 2021 In this study, we provide an interpretation of the dual differential Riccati equation of Linear-Quadratic (LQ) optimal control problems. Adopting a novel viewpoint, we show that LQ optimal control can be seen as a regression problem over the space of ...
Aubin-Frankowski, Pierre-Cyril
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Approximate solution of nonlinear multi-point boundary value problem on the half-line
Mathematical Modelling and Analysis, 2012 In this work, we construct a novel weighted reproducing kernel space and give the expression of reproducing kernel function skillfully. Based on the orthogonal basis established in the reproducing kernel space, an efficient algorithm is provided to solve
Jing Niu, Ying Zhen Lin, Chi Ping Zhang
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Alexandria Engineering Journal, 2020 In this paper, on the basis of the reproducing kernel functions, a novel meshless algorithm is explored for fractional advection–diffusion-reaction equations (ADREs) with Caputo time variable order.
Xiuying Li, Boying Wu
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