Results 41 to 50 of about 800 (107)

A kind of improved bivariate even order Bernoulli-type multiquadric quasi-interpolation operator and its application in two-dimensional coupled Burgers’ equations

Boundary Value Problems
Multiquadric quasi-interpolation is an efficient high-dimensional approximation algorithm. It can directly obtain the approximation term and its derivatives without solving any large-scale linear equations.
Ruifeng Wu
doaj   +1 more source

Anisotropic Radial Basis Function Methods for Continental Size Ice Sheet Simulations

, 2017
In this paper we develop and implement anisotropic radial basis function methods for simulating the dynamics of ice sheets and glaciers. We test the methods on two problems: the well-known benchmark ISMIP-HOM B that corresponds to a glacier size ice and ...
Cheng, Gong, Shcherbakov, Victor
core   +1 more source

Shape preserving fractal multiquadric quasi-interpolation

Computational and Applied Mathematics
AbstractIn this article, we construct a novel self-referential fractal multiquadric function which is symmetric about the origin. The scaling factors are suitably restricted to preserve the differentiability and the convexity of the underlying classical multiquadric function. Based on the translates of a fractal multiquadric function defined on a grid,
Kumar, D., Chand, A. K. B., Massopust, P. R.   +2 more
openaire   +2 more sources

A Brief Survey of Spherical Interpolation and Approximation Methods for Texture Analysis

Texture, Stress, and Microstructure, Volume 25, Issue 2-4, Page 159-169, 1996., 1996
In texture analysis there are several instances when mathematical methods of spherical interpolation or approximation are required. Ad hoc adaptions of univariate or bivariate methods to the topology of spherical manifolds usually fail in one way or another. Therefore, this contribution will provide a brief survey of genuinely spherical methods.
H. Schaeben
wiley   +1 more source

Free vibration analysis of functionally graded shells by a higher-order shear deformation theory and radial basis functions collocation, accounting for through-the-thickness deformations [PDF]

, 2013
This paper deals with free vibration problems of functionally graded shells. The analysis is performed by radial basis functions collocation, according to a higher-order shear deformation theory that accounts for through-the-thickness deformation.
A.J.M. Ferreira, A.M.A. Neves, Bever, Birman, C.M.C. Roque, C.M.M. Soares, Carrera, Carrera, Carrera, Carrera, Chapelle, Chen, Dai, E. Carrera, Ferrante, Ferreira, Ferreira, Ferreira, Ferreira, Ferreira, Ferreira, Ferreira, Ferreira, Ferreira, Ferreira, Flügge, Hon, Hon, Huang, Kansa, Koizumi, Kröplin, Liew, Liu, Liu, Liu, Liu, M. Cinefra, Miyamoto, Neves, Neves, Nguyen, Pradyumna, R.M.N. Jorge, Reddy, Rodrigues, Scordelis, Soave, Wang, Wang, Xiang, Xiang, Yang, Yin, Zhong   +54 more
core   +1 more source

Radial Basis Functions collocation and a Unified Formulation for bending, vibration and buckling analysis of laminated plates, according to a variation of 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, Akhras, Altenbach, Brischetto, Burton, C.M.C. Roque, Carrera, Carrera, Carrera, Carrera, Carrera, Carrera, Chen, Dai, Demasi, Demasi, E. Carrera, Ferreira, Ferreira, Ferreira, Ferreira, Ferreira, Hardy, Hon, Hon, Huang, Kansa, Khdeir, Kirchhoff, Librescu, Liew, Liew, Liew, Liu, Liu, Liu, Liu, Liu, Liu, M. Cinefra, Mindlin, Murakami, Nguyen-Thoi, Nguyen-Thoi, Nguyen-Xuan, Nguyen-Xuan, Noor, O. Polit, Pagano, Reddy, Reddy, Reddy, Reissner, Vinson, Vinson, Wang, Wang, Wen, Wendland, Xiang, Xiang, Zenkert   +61 more
core   +1 more source

Numerical Solution of the Nonlinear Klein-Gordon Equation Using Multiquadric Quasi-interpolation Scheme [PDF]

Universal Journal of Applied Mathematics, 2015
This paper's purpose is to provide a numerical scheme to approximate solutions of the nonlinear Klein-Gordon equation by applying the multiquadric quasi-interpolation scheme and the integrated radial basis function network scheme. Our scheme uses θ-weighted scheme for discretization of the temporal derivative and the integrated form of the multiquadric
M. Sarboland, A. Aminataei
openaire   +1 more source

A well-balanced meshless tsunami propagation and inundation model

, 2017
We present a novel meshless tsunami propagation and inundation model. We discretize the nonlinear shallow-water equations using a well-balanced scheme relying on radial basis function based finite differences.
Behrens, Jörn, Bihlo, Alexander, Brecht, Rüdiger, MacLachlan, Scott   +3 more
core   +1 more source

MULTIQUADRIC QUASI-INTERPOLATION METHOD FOR FRACTIONAL INTEGRAL-DIFFERENTIAL EQUATIONS

Journal of Applied Analysis & Computation
Summary: In this paper, Multiquadric quasi-interpolation method is used to approximate fractional integral equations and fractional differential equations. Firstly, we construct two operators for approximating the Hadamard integral-differential equation based on quasi interpolators, and verify their properties and order of convergence.
Wang, Ziqiang, Tan, Qing, Wang, Zhongqing, Cao, Junying   +3 more
openaire   +1 more source

A kind of improved univariate multiquadric quasi-interpolation operators

Computers & Mathematics with Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Ren-Hong, Xu, Min, Fang, Qin
openaire   +1 more source