Results 41 to 50 of about 489,759 (365)

Enrichment of the Finite Element Method With the Reproducing Kernel Particle Method [PDF]

Journal of Applied Mechanics, 1997
The reproducing kernel particle method (RKPM) has attractive properties in handling high gradients, concentrated forces, and large deformations where other widely implemented methodologies fail. In the present work, a multiple field computational procedure is devised to enrich the finite element method with RKPM, and RKPM with analytical functions. The
Chen, Y., Liu, W.K., Uras, R.A.
openaire   +2 more sources

Kernel method for nonlinear Granger causality [PDF]

, 2008
Important information on the structure of complex systems, consisting of more than one component, can be obtained by measuring to which extent the individual components exchange information among each other.
A. Papoulis, A. Pikovsky, Daniele Marinazzo, H. Kantz, J. Shawe-Taylor, Mario Pellicoro, Sebastiano Stramaglia, V. Vapnik   +7 more
core   +3 more sources

The reproducing kernel method for nonlinear fourth-order BVPs

AIMS Mathematics, 2023
Based on the reproducing kernel theory, we solve the nonlinear fourth order boundary value problem in the reproducing kernel space $ W_{2}^{5}[0, 1] $.
Shiyv Wang, Xueqin Lv, Songyan He
doaj   +1 more source

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, Hao Yu, Fugui Tan, Shuguang Li   +3 more
doaj   +1 more source

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 Optimization
In 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, S. Abbasbandy, H. Sahihi, T. Allahviranloo   +3 more
doaj   +1 more source

Solving a System of Linear Volterra Integral Equations Using the Modified Reproducing Kernel Method

Abstract and Applied Analysis, 2013
A numerical technique based on reproducing kernel methods for the exact solution of linear Volterra integral equations system of the second kind is given.
Li-Hong Yang, Hong-Ying Li, Jing-Ran Wang   +2 more
doaj   +1 more source

Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces [PDF]

, 2011
The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. In particular, when the involved kernel is analytic in the sampling parameter it can be stated in an abstract setting of reproducing kernel Hilbert spaces
Antonio G. García, de Branges L, Everitt WN, Everitt WN, Franciszek Hugon Szafraniec, García AG, Higgins JR, Kramer HP, Makarov N, Miguel A. Hernández-Medina, Rudin W, Saitoh S, Stone MH, Szafraniec FH, Taylor AE, Young RM, Zayed AI   +16 more
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A Quasi-Convex RKPM for 3D Steady-State Thermomechanical Coupling Problems

Mathematics
A meshless, quasi-convex reproducing kernel particle framework for three-dimensional steady-state thermomechanical coupling problems is presented in this paper.
Lin Zhang, D. M. Li, Cen-Ying Liao, Li-Rui Tian   +3 more
doaj   +1 more source

Reproducing kernel functions for the generalized Kuramoto-Sivashinsky equation

ITM Web of Conferences, 2018
Reproducing kernel functions are obtained for the solution of generalized Kuramoto–Sivashinsky (GKS) equation in this paper. These reproducing kernel functions are valuable in the reproducing kernel Hilbert space method.
Akgül Ali, Akgül Esra Karatas, Korhan Sahin, Inc Mustafa   +3 more
doaj   +1 more source

Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space

Journal of Function Spaces, 2020
In this paper, we structure some new reproducing kernel spaces based on Jacobi polynomial and give a numerical solution of a class of time fractional order diffusion equations using piecewise reproducing kernel method (RKM).
Xiaoli Zhang, Haolu Zhang, Lina Jia, Yulan Wang, Wei Zhang   +4 more
doaj   +1 more source