Results 31 to 40 of about 800 (107)
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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Symplectic multiquadric quasi-interpolation approximations of KdV equation
Filomat, 2018 Radial basis functions quasi-interpolation is very useful tool for the numerical solution of differential equations, since it possesses shape-preserving and high-order approximation properties. Based on multiquadric quasi-interpolations, this study suggests a meshless symplectic procedure for KdV equation.
Zhang, Shengliang, Zhang, Liping
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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
A Meshfree Method for Numerical Solution of Nonhomogeneous Time‐Dependent Problems
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We propose a new numerical meshfree scheme to solve time‐dependent problems with variable coefficient governed by telegraph and wave equations which are more suitable than ordinary diffusion equations in modelling reaction diffusion for such branches of sciences.
Ziwu Jiang +3 more
wiley +1 more source
An alternative procedure for selecting a good value for the parameter c in RBF-interpolation [PDF]
, 2010 The impact of the scaling parameter c on the accuracy of interpolation schemes using radial basis functions (RBFs) has been pointed out by several authors.
AV Vecchia +17 more
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A kind of Bernoulli-type quasi-interpolation operator with univariate multiquadrics [PDF]
Computational & Applied Mathematics, 2010 In this paper, a kind of Bernoulli-type operator is proposed by combining a univariate multiquadric quasi-interpolation operator with the generalized Taylor polynomial. With an assumption on the shape-preserving parameter c, the convergence rate of the new operator is derived, which indicates that it could produce the desired precision.
Wang, Ren-Hong, Xu, Min
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Solution of Boundary Value Obstacle Problems Using MQ‐RBF and IMQ‐RBF
Mathematical Problems in Engineering, Volume 2013, Issue 1, 2013., 2013 A kind of numerical method which is based on multiquadric RBF, inverse multiquadric RBF, and Wu‐Schaback operators is presented for solving second‐order and third‐order boundary value problems associated with obstacle, unilateral, and contact problems. The algorithms are proved to be highly accurate and easy to implement.
Feng Gao, Chunmei Chi, Manyu Xiao
wiley +1 more source
Quantification of airfoil geometry-induced aerodynamic uncertainties - comparison of approaches
, 2016 Uncertainty quantification in aerodynamic simulations calls for efficient numerical methods since it is computationally expensive, especially for the uncertainties caused by random geometry variations which involve a large number of variables. This paper
Litvinenko, Alexander +3 more
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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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Approximate Implicitization of Parametric Curves Using Cubic Algebraic Splines
Mathematical Problems in Engineering, Volume 2009, Issue 1, 2009., 2009 This paper presents an algorithm to solve the approximate implicitization of planar parametric curves using cubic algebraic splines. It applies piecewise cubic algebraic curves to give a global G2 continuity approximation to planar parametric curves. Approximation error on approximate implicitization of rational curves is given.
Xiaolei Zhang +2 more
wiley +1 more source