Results 61 to 70 of about 47,892 (174)
Representing functional data in reproducing Kernel Hilbert Spaces with applications to clustering and classification [PDF]
, 2010 Functional data are difficult to manage for many traditional statistical techniques given their very high (or intrinsically infinite) dimensionality. The reason is that functional data are essentially functions and most algorithms are designed to work ...
González, Javier, Muñoz, Alberto
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An ultra-high-speed reproducing kernel particle method
Computational MechanicsIn this work, the fast-convolving reproducing kernel particle method (FC-RKPM) is introduced. This method is hundreds to millions of times faster than the traditional RKPM for 3D meshfree simulations. In this approach, the meshfree discretizations with RK approximation are expressed in terms of convolution sums.
Jafarzadeh, Siavash, Hillman, Michael
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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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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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A Hybrid Reproducing Kernel Particle Method for Three-Dimensional Helmholtz Equation
MathematicsThe reproducing kernel particle method (RKPM) is one of the most universal meshless methods. However, when solving three-dimensional (3D) problems, the computational efficiency is relatively low because of the complexity of the shape function.
Piaopiao Peng, Ning Wang, Yumin Cheng
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Abstract and Applied Analysis, 2012 We construct a novel reproducing kernel space and give the expression of reproducing kernel skillfully. Based on the orthogonal basis of the reproducing kernel space, an efficient algorithm is provided firstly to solve a three-point boundary value ...
Jing Niu, Yingzhen Lin, Minggen Cui
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A Novel Method for Solutions of Fourth-Order Fractional Boundary Value Problems
Fractal and Fractional, 2019 In this paper, we find the solutions of fourth order fractional boundary value problems by using the reproducing kernel Hilbert space method. Firstly, the reproducing kernel Hilbert space method is introduced and then the method is applied to this kind ...
Ali Akgül, Esra Karatas Akgül
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Reproducing kernel method of solving singular integral equation with cosecant kernel
Journal of Mathematical Analysis and Applications, 2008 This paper deals with equations containing integral operators with the cosecant kernel. The authors use a standard transformation to extract the singular term with successive application of the method mentioned in the title. It should be noted that the motivation in considering such equations is not entirely clear.
Du, Hong, Shen, JiHong
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The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ In the Space Rⁿ [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعيةIn this paper, we applied the reproducing kernel method on elliptical region, we establish the formulas of the reproducing kernel from several degrees and generalized those formulas whatever the dimension of space, we obtained all surfaces, points, and ...
Hiba Aslan, Hamed Abbas
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