Results 271 to 280 of about 547,687 (323)

Reproducing kernel method to solve parabolic partial differential equations with nonlocal conditions

Numerical Methods for Partial Differential Equations, 2020
In this study, the parabolic partial differential equations with nonlocal conditions are solved. To this end, we use the reproducing kernel method (RKM) that is obtained from the combining fundamental concepts of the Galerkin method, and the complete ...
T. Allahviranloo, H. Sahihi
semanticscholar   +1 more source

On a collocation point of view to reproducing kernel methods

Computational and Applied Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Reproducing kernel particle methods

International Journal for Numerical Methods in Fluids, 1995
AbstractA new continuous reproducing kernel interpolation function which explores the attractive features of the flexible time‐frequency and space‐wave number localization of a window function is developed. This method is motivated by the theory of wavelets and also has the desirable attributes of the recently proposed smooth particle hydrodynamics ...
Liu, Wing Kam, Jun, Sukky, Zhang, Yi Fei
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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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Numerical simulation of time-fractional partial differential equations arising in fluid flows via reproducing Kernel method

International journal of numerical methods for heat & fluid flow, 2019
Purpose The subject of the fractional calculus theory has gained considerable popularity and importance due to their attractive applications in widespread fields of physics and engineering.
O. A. Arqub
semanticscholar   +1 more source

A quasi‐linear reproducing kernel particle method

International Journal for Numerical Methods in Engineering, 2016
SummaryReproducing 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.
Yreux, Edouard, Chen, Jiun-Shyan
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Fitted reproducing kernel method for singularly perturbed delay initial value problems

Applied Mathematics and Computation, 2016
Z. Tang, F. Geng
exaly   +2 more sources

Multiscale Approximation and Reproducing Kernel Hilbert Space Methods

SIAM Journal on Numerical Analysis, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael Griebel, Christian Rieger, Barbara Zwicknagl   +2 more
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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 spline approximation with a reproducing kernel method

Numerical Analysis and Applications, 2013
Summary: Spline approximation with a reproducing kernel of a semi-Hilbert space is studied. Conditions are formulated that uniquely identify the natural Hilbert space by a reproducing kernel, a trend of spline, and the approximation domain. A construction of spline with external drift is proposed.
Rozhenko, A. I., Shajdorov, T. S.
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