Results 41 to 50 of about 57,420 (165)
MathematicsThe method of particular solutions (MPS) has been widely applied for solving various types of partial differential equations. In this paper, the space–time collocation technique is implemented using MPS with polynomial basis functions (MPS-PBF) to solve ...
Thir Dangal +2 more
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Interpolation and Best Approximation for Spherical Radial Basis Function Networks
Abstract and Applied Analysis, 2013 Within the conventional framework of a native space structure, a smooth kernel generates a small native space, and radial basis functions stemming from the smooth kernel are intended to approximate only functions from this small native space.
Shaobo Lin, Jinshan Zeng, Zongben Xu
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An adaptive meshless method of line based on radial basis functions [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2015 In this paper, an adaptive meshless method of line is applied to distribute the nodes in the spatial domain. In many cases in meshless methods, it is also necessary for the chosen nodes to have certain smoothness properties.
Jafar Biazar, Mohammad Hosami
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Ain Shams Engineering Journal, 2018 A class of basis functions so called well-conditioned RBF (WRBFs) has been introduced. This basis has been manipulated by adding cardinal functions to the conditionally negative definite RBFs of order 1, such as Multiquadric functions 1+(∊r)2 (MQ) and ...
Saeed Kazem +2 more
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Heterogeneous radial basis function networks
Proceedings of International Conference on Neural Networks (ICNN'96), 2002 Radial basis function (RBF) networks typically use a distance function designed for numeric attributes, such as Euclidean or city-block distance. This paper presents a heterogeneous distance function which is appropriate for applications with symbolic attributes, numeric attributes, or both.
D. Randall Wilson, Tony R. Martinez
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ON APPLICATION OF ARTIFICIAL NEURAL NETWORKS FOR MODELING OF WATER CONSUMPTION
Водное хозяйство России: проблемы, технологии, управление, 2021 The article shows the capabilities of artificial neural networks built on radial basis functions for the study of water consumption by various branches of the Don River basin water system.
Alexander N. Salugin +1 more
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Space-time radial basis functions
Computers & Mathematics with Applications, 2002 Radial basis functions have turned out in practice to be extremely useful and interesting to analyse for theoretical study. They are approximations that treat all components of the underlying -- possibly high-dimensional -- space equal, and, while this is usually an additional advantage, it is not, when space-time is studied.
MYERS D. E. +3 more
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Application of an RBF blending interpolation method to problems with shocks
Computer Assisted Methods in Engineering and Science, 2017 Radial basis functions (RBF) have become an area of research in recent years, especially in the use of solving partial differential equations (PDE). Radial basis functions have an impressive capability in interpolating scattered data, even for data with
Michael Harris +2 more
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A new type of radial basis functions for problems governed by partial differential equations. [PDF]
PLoS One, 2023 Liu J, Wang F, Nadeem S.
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Image2SSM: Reimagining Statistical Shape Models from Images with Radial Basis Functions. [PDF]
Med Image Comput Comput Assist Interv, 2023 Xu H, Elhabian SY.
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