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Verification and large deformation analysis using the reproducing kernel particle method
Frank Beckwith
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Discretization errors associated with Reproducing Kernel Methods: One-dimensional domains
Thomas E. Voth, Christon
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THE REPRODUCING KERNEL METHOD FOR SOME VARIATIONAL PROBLEMS DEPENDING ON INDEFINITE INTEGRALS
Mojtaba Fardi +2 more
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Reproducing kernel particle methods
International Journal for Numerical Methods in Fluids, 1995AbstractA 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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Multiresolution reproducing kernel particle methods
Computational Mechanics, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, W. K. +4 more
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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.
Yreux, Edouard, Chen, Jiun-Shyan
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Reproducing kernel element method. Part I: Theoretical formulation
Computer Methods in Applied Mechanics and Engineering, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Wing Kam +4 more
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Quasi-convex reproducing kernel meshfree method
Computational Mechanics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Dongdong, Chen, Pengjie
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Penalized Splines and Reproducing Kernel Methods
The American Statistician, 2006Two data analytic research areas—penalized splines and reproducing kernel methods—have become very vibrant since the mid-1990s. This article shows how the former can be embedded in the latter via theory for reproducing kernel Hilbert spaces. This connection facilitates cross-fertilization between the two bodies of research.
Pearce, N.D., Wand, M.P.
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