Results 11 to 20 of about 854,539 (114)
Shape preserving properties and convergence of univariate multiquadric quasi-interpolation
Acta Mathematicae Applicatae Sinica, 1994 The authors show that the quasi-interpolation with multiquadrics on scattered points preserves convexity, linearity and monotonicity. An error bound is also obtained.
Wu, Zongmin, Schaback, Robert
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Quasi Interpolation of radial basis functions-pseudospectral method for solving nonlinear Klein–Gordon and sine-Gordon equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2020 We propose a new approach for solving nonlinear Klein–Gordon and sine-Gordon equations based on radial basis function-pseudospectralmethod (RBF-PS). The proposed numerical method is based on quasiinterpolation of radial basis function differentiation ...
M. Emamjomeh, S. Abbasbandy, D. Rostamy
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Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In this paper, the radial basis function (RBF) collocation method is applied to solve nonlinear partial differential equations (PDEs). First, the given equation is reduced to time‐discrete form using Ө‐weighted scheme. Then, with the help of RBFs, the given PDEs are transformed into a system of algebraic equations that is easy to solve.
Rahman Ullah +6 more
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Error bound for radial basis interpolation in terms of a growth function [PDF]
, 2007 We suggest an improvement of Wu-Schaback local error bound for radial basis interpolation by using a polynomial growth function. The new bound is valid without any assumptions about the density of the interpolation centers.
Davydov, Oleg
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The Conical Radial Basis Function for Partial Differential Equations
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 The performance of the parameter‐free conical radial basis functions accompanied with the Chebyshev node generation is investigated for the solution of boundary value problems. In contrast to the traditional conical radial basis function method, where the collocation points are placed uniformly or quasi‐uniformly in the physical domain of the boundary ...
J. Zhang +3 more
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A Direct Meshless Method for Solving Two‐Dimensional Second‐Order Hyperbolic Telegraph Equations
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 In this paper, a direct meshless method (DMM), which is based on the radial basis function, is developed to the numerical solution of the two‐dimensional second‐order hyperbolic telegraph equations. Since these hyperbolic telegraph equations are time dependent, we present two schemes for the basis functions from radial and nonradial aspects.
Fuzhang Wang, Enran Hou, Imtiaz Ahmad
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Probabilistic modelling of geotechnical conditions for offshore wind turbine support structures [PDF]
, 2014 The geotechnical conditions of the soil can fluctuate greatly across the wind farm. This is an issue since geotechnical modelling is the base of the structural design of an offshore wind farm, and the efficient installation of the wind turbines ...
Mondrago Quevedo, Monica
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Rapid evaluation of radial basis functions [PDF]
, 2005 Over the past decade, the radial basis function method has been shown to produce high quality solutions to the multivariate scattered data interpolation problem.
Baxter, Brad J.C. +3 more
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Solving Diffusion Equation Using a New Multiquadric Quasi-interpolation [PDF]
Advances in Intelligent Systems Research, 2014 In this paper, a new univariate quasi-interpolation operator is presented by means of construction way with cubic Multiquadric functions. It possesses univariate cubic polynomial reproduction property, quasi convexity-preserving and shapepreserving of order 4 properties, and a higher convergence rate.
Wang Ziqiang, Cao Junying
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Modeling Temporally Evolving and Spatially Globally Dependent Data
International Statistical Review, Volume 86, Issue 2, Page 344-377, August 2018., 2018 Summary The last decades have seen an unprecedented increase in the availability of data sets that are inherently global and temporally evolving, from remotely sensed networks to climate model ensembles. This paper provides an overview of statistical modeling techniques for space–time processes, where space is the sphere representing our planet.
Emilio Porcu +2 more
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