Results 41 to 50 of about 1,486,932 (305)
Reproducing Kernel Method with Global Derivative
Journal of Function Spaces, 2023 Ordinary differential equations describe several phenomena in different fields of engineering and physics. Our aim is to use the reproducing kernel Hilbert space method (RKHSM) to find a solution to some ordinary differential equations (ODEs) that are ...
Nourhane Attia +2 more
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Subgroups of Paths and Reproducing Kernels [PDF]
The Annals of Probability, 1973 The following generalizations of certain theorems due to G. Kallianpur and to Jamison and Orey are proved for an arbitrary Gaussian measure $P$ on a space of real functions: if the reproducing kernel Hilbert space $H$ is infinite dimensional then $P(H) = 0$; if a subgroup $G$ of the space of real functions (under addition) is measurable with respect to
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A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method
Abstract and Applied Analysis, 2013 We propose a reproducing kernel method for solving the KdV equation with initial condition based on the reproducing kernel theory. The exact solution is represented in the form of series in the reproducing kernel Hilbert space.
Mustafa Inc, Ali Akgül, Adem Kiliçman
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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
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Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations
Abstract and Applied Analysis, 2014 We use the reproducing kernel method to solve the well-known classes of Lane-Emden-type equations. These classes of equations have the form of Lane-Emden problem.
Yulan Wang +3 more
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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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Reproducing kernel method for solving wiener-hopf equations of the second kind [PDF]
Journal of Hyperstructures, 2016 This paper proposed a reproducing kernel method for solving Wiener-Hopf equations of the second kind. In order to eliminate the singularity of the equation, a transform is used.
Azizallah Alvandi +2 more
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Multimodal Data‐Driven Microstructure Characterization
Advanced Engineering Materials, EarlyView.A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang +4 more
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Combining the reproducing kernel method with Taylor series expansion to solve systems of nonlinear fractional Volterra integro-differential equations [PDF]
Iranian Journal of Numerical Analysis and OptimizationIn this article, we present a novel approach for solving systems of nonlinear fractional Volterra integro-differential equations $(NFVI-DEs)$ by reproducing the Hilbert kernel method.
T. Amoozad +3 more
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Advanced Engineering Materials, EarlyView.We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang +2 more
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