Results 51 to 60 of about 13,358 (271)
soft sets, soft rough sets, soft pre-rough sets, information system, decision making
AIMS Mathematics, 2023 For any real $ \beta $ let $ H^2_\beta $ be the Hardy-Sobolev space on the unit disc $ {\mathbb D} $. $ H^2_\beta $ is a reproducing kernel Hilbert space and its reproducing kernel is bounded when $ \beta > 1/2 $.
Li He
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Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Advanced Physics Research, EarlyView.Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley +1 more source
Boundary Value ProblemsIn this work, we investigate the Klein–Gordon equation, a physical problem, using the reproducing kernel Hilbert space method (RKHSM). The analytical solution is expressed as a series within the reproducing kernel Hilbert space (RKHS).
Hadjer Zerouali +6 more
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Noncommutative reproducing kernel Hilbert spaces
Journal of Functional Analysis, 2016 The theory of positive kernels and associated reproducing kernel Hilbert spaces, especially in the setting of holomorphic functions, has been an important tool for the last several decades in a number of areas of complex analysis and operator theory.
Ball, Joseph A. +2 more
openaire +2 more sources
Research on Precise Identification of Rock Strength Based on Bolt Drilling Parameters
Energy Science &Engineering, EarlyView.Drilling detection test platform. ABSTRACT During roadway excavation, the presence of weak interlayers and fractured rock masses significantly affects roof stability. To achieve timely and effective roadway support, it is crucial to identify and predict different rock types based on drilling signals from roof bolters.
Qiang Zhu +4 more
wiley +1 more source
Some Notes on Error Analysis for Kernel Based Regularized Interpolation
International Journal of Analysis and Applications, 2020 Kernel based regularized interpolation is one of the most important methods for approximating functions. The theory behind the kernel based regularized interpolation is the well-known Representer Theorem, which shows the form of approximation function in
Qing Zou
doaj
Density Problem and Approximation Error in Learning Theory
Abstract and Applied Analysis, 2013 We study the density problem and approximation error of reproducing kernel Hilbert spaces for the purpose of learning theory. For a Mercer kernel on a compact metric space (, ), a characterization for the generated reproducing kernel Hilbert space (RKHS)
Ding-Xuan Zhou
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Necessary Condition for the Existence of Unconditional Bases of Reproducing Kernels for Hilbert Spaces of Entire Functions [PDF]
, 2021 К. П. Исаев +2 more
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BCARS Simulated Phantom Dataset for Evaluation of Processing Pipelines
Journal of Raman Spectroscopy, EarlyView.A tissue phantom, containing fingerprint Raman spectra at each pixel, is developed to evaluate Raman signal processing pipelines. The phantom is created from a BCARS image of a murine hepatic tissue. ABSTRACT Broadband coherent anti‐Stokes Raman scattering (BCARS) microscopy is a powerful label‐free biological imaging technique, but the raw signal ...
Jessica Z. Dixon +5 more
wiley +1 more source
Ain Shams Engineering Journal, 2018 In this article, we introduce a novel numerical scheme, the iterative reproducing kernel method (IRKM), for providing numerical approximate solutions of a certain class of time-fractional boundary value problem within favorable aspects of the reproducing
Mohammed Al-Smadi
doaj +1 more source