Results 31 to 40 of about 388,592 (291)

A New 3D Potential-Density Basis Set [PDF]

, 2007
A set of bi-orthogonal potential-density basis functions is introduced to model the density and its associated gravitational field of three dimensional stellar systems.
Alireza Rahmati, Arfken, Clutton-Brock, Clutton-Brock, Mir Abbas Jalali   +4 more
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Localized method of particular solutions using polynomial basis functions for solving two-dimensional nonlinear partial differential equations

Partial Differential Equations in Applied Mathematics, 2021
The localized method is one of the popular approaches in solving large-scale problems in science and engineering. In this paper, we implement the localized method of particular solutions using polynomial basis functions for solving various nonlinear ...
T. Dangal, B. Khatri Ghimire, A.R. Lamichhane   +2 more
doaj   +1 more source

Dynamics Model Abstraction Scheme Using Radial Basis Functions

Journal of Control Science and Engineering, 2012
This paper presents a control model for object manipulation. Properties of objects and environmental conditions influence the motor control and learning.
Silvia Tolu, Mauricio Vanegas, Rodrigo Agís, Richard Carrillo, Antonio Cañas   +4 more
doaj   +1 more source

The Quasi-Optimal Radial Basis Function Collocation Method: A Technical Note

Journal of Mathematics, 2021
The traditional radial basis function parameter controls the flatness of these functions and influences the precision and stability of approximation solution.
Juan Zhang, Mei Sun, Enran Hou, Zhaoxing Ma   +3 more
doaj   +1 more source

Regular Families of Kernels for Nonlinear Approximation

, 2019
This article studies sufficient conditions on families of approximating kernels which provide $N$--term approximation errors from an associated nonlinear approximation space which match the best known orders of $N$--term wavelet expansion.
Hamm, Keaton, Ledford, Jeff
core   +1 more source

Radial basis functions-finite differences collocation and a Unified Formulation for bending, vibration and buckling analysis of laminated plates, according to Murakami's zig-zag theory [PDF]

, 2011
In this paper, we propose to use the Murakami's zig-zag theory for the static and vibration analysis of laminated plates, by local collocation with radial basis functions in a finite differences framework.
A.J.M. Ferreira, Auricchio, Bhaskar, Brank, Brischetto, C.M.C. Roque, Carrera, Carrera, Carrera, Carrera, Carrera, Carrera, Carrera, Carrera, Carrera, Carrera, Carrera, Carrera, Cecil, Demasi, Demasi, E. Carrera, Ferreira, Ferreira, Ferreira, Ferreira, Ferreira, Fornberg, J.D. Rodrigues, Jing, Kansa, Khdeir, Khdeir, Lekhnitskii, Liew, Liew, M. Cinefra, Murakami, Pagano, Rao, Reddy, Reddy, Reddy, Toledano, Tolstykh, Wright   +45 more
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Determination of an Extremal in Two-Dimensional Variational Problems Based on the RBF Collocation Method

Entropy, 2022
This paper introduces a direct method derived from the global radial basis function (RBF) interpolation over arbitrary collocation nodes occurring in variational problems involving functionals that depend on functions of a number of independent variables.
Ahmad Golbabai, Nima Safaei, Mahboubeh Molavi-Arabshahi   +2 more
doaj   +1 more source

Error estimates for interpolation of rough data using the scattered shifts of a radial basis function

, 2007
The error between appropriately smooth functions and their radial basis function interpolants, as the interpolation points fill out a bounded domain in R^d, is a well studied artifact. In all of these cases, the analysis takes place in a natural function
F.J. Narcowich, G.J.O. Jameson, J. Levesley, J. Yoon, J. Yoon, R. A. Brownlee, R. Brownlee, W.A. Light, W.A. Light   +8 more
core   +1 more source

Approximation of Offset Surfaces Using Generalized Wendland Radial Basis Functions

Mathematics
We introduce a new methodological approach for the approximation of generalized offset surfaces using smoothing radial basis functions (RBFs).
Loubna Omri, Abdelouahed Kouibia, Hossain Oulad Yakhlef, Hamza El Bazi   +3 more
doaj   +1 more source

Analysis of laminated doubly-curved shells by alayerwise theory and radial basis functions collocation, accounting for through-the-thickness deformations

, 2011
In this paper, the static and free vibration analysis of laminated shells is performed by radial basis functions collocation, according to a sinusoidal shear deformation theory (SSDT).
A.J.M. Ferreira, Arnold, Bathe, C.M.C. Roque, Carrera, Carrera, Carrera, Carrera, Carrera, Chapelle, Chen, Cheng, Chinosi, Cinefra, Dai, D’Ottavio, E. Carrera, Ferreira, Ferreira, Ferreira, Ferreira, Ferreira, Flügge, Hardy, Hon, Hon, Huang, Kansa, Koiter, Liew, Liu, Liu, Liu, Liu, M. Cinefra, Naghdi, O. Polit, Pitkäranta, Polit, Q Huang, Reddy, Reddy, Scordelis, Touratier, Touratier, Touratier, Vidal, Wang, Wang, Xiang, Xiang, Zienkiewicz   +51 more
core   +1 more source