Results 31 to 40 of about 821 (111)
An improved multiquadric collocation method for 3-D electromagnetic problems [PDF]
, 2007 The multiquadric radial basis function method (MQ RBF or, simply, MQ) developed recently is a truly meshless collocation method with global basis functions.
Guo, Y +5 more
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A Meshfree Quasi‐Interpolation Method for Solving Burgers’ Equation
Mathematical Problems in Engineering, Volume 2014, Issue 1, 2014., 2014 The main aim of this work is to consider a meshfree algorithm for solving Burgers’ equation with the quartic B‐spline quasi‐interpolation. Quasi‐interpolation is very useful in the study of approximation theory and its applications, since it can yield solutions directly without the need to solve any linear system of equations and overcome the ill ...
Mingzhu Li +3 more
wiley +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
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Transport Schemes on a Sphere Using Radial Basis Functions [PDF]
, 2007 The aim of this work is to introduce the physics community to the high performance of radial basis functions (RBFs) compared to other spectral methods for modeling transport (pure advection) and to provide the first known application of the RBF ...
Flyer, Natasha, Wright, Grady
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Bivariate multiquadric quasi-interpolation operators of Lidstone type
AIMS Mathematics, 2023 <abstract><p>In this paper, a kind of bivariate multiquadric quasi-interpolant with the derivatives of a approximated function is studied by combining the known multiquadric quasi-interpolant with the generalized Taylor polynomials that act as the bivariate Lidstone interpolation polynomials.
openaire +2 more sources
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 We present finite difference schemes for Burgers equation and Burgers‐Fisher equation. A new version of exact finite difference scheme for Burgers equation and Burgers‐Fisher equation is proposed using the solitary wave solution. Then nonstandard finite difference schemes are constructed to solve two equations.
Lei Zhang +3 more
wiley +1 more source
Local interpolation schemes for landmark-based image registration: a comparison
, 2014 In this paper we focus, from a mathematical point of view, on properties and performances of some local interpolation schemes for landmark-based image registration.
Allasia, Giampietro +2 more
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A High-Order Kernel Method for Diffusion and Reaction-Diffusion Equations on Surfaces [PDF]
, 2012 In this paper we present a high-order kernel method for numerically solving diffusion and reaction-diffusion partial differential equations (PDEs) on smooth, closed surfaces embedded in $\mathbb{R}^d$. For two-dimensional surfaces embedded in $\mathbb{R}^
Fuselier, Edward J., Wright, Grady B.
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Mathematical Problems in Engineering, Volume 2014, Issue 1, 2014., 2014 The spectral leakage has a harmful effect on the accuracy of harmonic analysis for asynchronous sampling. This paper proposed a time quasi‐synchronous sampling algorithm which is based on radial basis function (RBF) interpolation. Firstly, a fundamental period is evaluated by a zero‐crossing technique with fourth‐order Newton’s interpolation, and then,
Huaiqing Zhang +4 more
wiley +1 more source
Shape preserving fractal multiquadric quasi-interpolation
Computational and Applied MathematicsAbstractIn 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,
D. Kumar +2 more
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