Results 131 to 140 of about 47,892 (174)

The Reproducing Kernel Method. II

Journal of Mathematical Physics, 1972
The explicit solution of the Cauchy problem ∂N/∂t = HN by means of reproducing kernels is obtained under various forms: conformal mapping expansions, Sheffer polynomial expansion, polynomials orthogonal on a family of curves; the convergence is studied for both Szegö and Bergman kernels.
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ON SOME ENRICHMENTS OF REPRODUCING KERNEL PARTICLE METHOD

International Journal of Computational Methods, 2004
In this paper efforts are made to enrich Reproducing Kernel Particle Method (RKPM). Firstly, the RKPM shape functions are expressed explicitly in terms of kernel function moments. This avoids numerical matrix inversions and solutions of linear algebraic equations which are involved in classical RKPM, and thus makes RKPM more accurate, faster and more ...
Zhou, J. X., Wang, X. M., Zhang, Z. Q., Zhang, L.   +3 more
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Multiscale Approximation and Reproducing Kernel Hilbert Space Methods

SIAM Journal on Numerical Analysis, 2015
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Griebel, Michael, Rieger, Christian, Zwicknagl, Barbara   +2 more
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Reproducing kernel method for strongly non-linear equation

AIP Conference Proceedings, 2018
In this paper, we search the efficiency of the reproducing kernel method (RKM) in solving the strongly nonlinear equation. An example is presented to prove the power of the technique. The results attained from the technique are compared with the other techniques. Results prove that the presented technique is very effective.
Akgul, Ali, Akgul, Esra Karatas, Baleanu, Dumitru   +2 more
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Reproducing Kernel Hilbert Space Method for Solving Bratu’s Problem

Bulletin of the Malaysian Mathematical Sciences Society, 2014
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Inc, Mustafa, Akgul, Ali, Geng, Fazhan
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Reproducing kernel particle methods for structural dynamics

International Journal for Numerical Methods in Engineering, 1995
AbstractThis paper explores a Reproducing Kernel Particle Method (RKPM) which incorporates several attractive features. The emphasis is away from classical mesh generated elements in favour of a mesh free system which only requires a set of nodes or particles in space.
Liu, Wing Kam, Jun, Sukky, Li, Shaofan, Adee, Jonathan, Belytschko, Ted   +4 more
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Wavelet and multiple scale reproducing kernel methods

International Journal for Numerical Methods in Fluids, 1995
AbstractMultiple scale methods based on reproducing kernel and wavelet analysis are developed. These permit the response of a system to be separated into different scales. These scales can be either the wave numbers corresponding to spatial variables or the frequencies corresponding to temporal variables, and each scale response can be examined ...
Liu, Wing Kam, Chen, Yijung
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Application of Reproducing Kernel Particle Methods in electromagnetics

Computer Methods in Applied Mechanics and Engineering, 1996
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Filters, reproducing kernel, and adaptive meshfree method

Computational Mechanics, 2003
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You, Y., Chen, J.-S., Lu, H.
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Multiresolution Reproducing Kernel Particle Methods in Acoustics

Journal of Computational Acoustics, 1997
In 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-
R. A. Uras, C.-T. Chang, Y. Chen, W. K. Liu   +3 more
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