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Filters, reproducing kernel, and adaptive meshfree method
Computational Mechanics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiun-Shyan Chen, Y. You, H. Lu
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International Journal of Computational Mathematics, 2018
Due to the non-locality of fractional derivative, the analytical solution and good approximate solution of fractional partial differential equations are usually difficult to get.
Yulan Wang, Lijun Jia, Hao-lu zhang
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Due to the non-locality of fractional derivative, the analytical solution and good approximate solution of fractional partial differential equations are usually difficult to get.
Yulan Wang, Lijun Jia, Hao-lu zhang
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Application of Reproducing Kernel Particle Methods in electromagnetics
Computer Methods in Applied Mechanics and Engineering, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a collocation point of view to reproducing kernel methods
Computational and Applied Mathematics, 2021In this text, we discuss an interpolation (or a collocation) point of view to reproducing kernel methods to approximate solutions to some linear and non-linear functional equations. The proposed method allows us to avoid the usual process of orthogonalization, solving a system of algebraic equations, with a positive defined matrix in the linear case ...
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A new application of reproducing kernel Hilbert space method
AIP Conference Proceedings, 2018We demonstrate a new application of the reproducing kernel Hilbert space method in this paper. We showed our results by tables and figures.
Akgul, A., Sakar, M. Giyas
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A quasi‐linear reproducing kernel particle method
International Journal for Numerical Methods in Engineering, 2016SummaryReproducing kernel particle method (RKPM) has been applied to many large deformation problems. RKPM relies on polynomial reproducing conditions to yield desired accuracy and convergence properties but requires appropriate kernel support coverage of neighboring nodes to ensure kernel stability.
Edouard Yreux, Jiun-Shyan Chen
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Overview and applications of the reproducing Kernel Particle methods
Archives of Computational Methods in Engineering, 1996Multiple-scale Kernel Particle methods are proposed as an alternative and/or enhancement to commonly used numerical methods such as finite element methods. The elimination of a mesh, combined with the properties of window functions, makes a particle method suitable for problems with large deformations, high gradients, and high modal density.
Ted Belytschko +7 more
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Constructing cubature formulae by the method of reproducing kernel
Numerische Mathematik, 2000The method of reproducing kernel for constructing cubature formulae on the unit ball \(B^d\) and on the triangle was described. Compact formulae of the reproducing kernels studied by \textit{H. M. Möller} [Numer. Math. 25, 185-200 (1976; Zbl 0319.65019)] were used for the construction. At first the construction of a family of cubature formulae on \(B^d\
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Adaptation of reproducing kernel method in solving Atangana–Baleanu fractional Bratu model
International Journal of Dynamics and Control, 2022M. Al‐Smadi +4 more
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Multiresolution Reproducing Kernel Particle Methods in Acoustics
Journal of Computational Acoustics, 1997In the analysis of complex phenomena of acoustic systems, the computational modeling requires special attention in order to give a realistic representation of the physics. As a powerful tool, the finite element method has been widely used in the study of complex systems. In order to capture the important physical phenomena, p-finite elements and/or hp-
Wing Kam Liu +3 more
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