Results 1 to 10 of about 854,539 (114)
Abel–Goncharov Type Multiquadric Quasi-Interpolation Operators with Higher Approximation Order [PDF]
Journal of Mathematics, 2021 A kind of Abel–Goncharov type operators is surveyed. The presented method is studied by combining the known multiquadric quasi-interpolant with univariate Abel–Goncharov interpolation polynomials.
Ruifeng Wu
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Bivariate High-Accuracy Hermite-Type Multiquadric Quasi-Interpolation Operators
Journal of MathematicsIn this paper, a kind of Hermite-type multiquadric quasi-interpolation operator is constructed by combining an extended univariate multiquadric quasi-interpolation operator with a bivariate Hermite interpolation polynomial.
Ruifeng Wu
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A Family of Modified Even Order Bernoulli-Type Multiquadric Quasi-Interpolants with Any Degree Polynomial Reproduction Property [PDF]
Journal of Applied Mathematics, 2014 By using the polynomial expansion in the even order Bernoulli polynomials and using the linear combinations of the shifts of the function f(x)(x∈ℝ) to approximate the derivatives of f(x), we propose a family of modified even order Bernoulli-type ...
Ruifeng Wu, Huilai Li, Tieru Wu
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A novel parameterized multiquadric quasi-interpolation operator with its optimal parameters
Results in Applied MathematicsThe shape parameter c plays a crucial role in determining the accuracy and effectiveness of multiquadric quasi-interpolation algorithm. However, a few works discuss the shape parameter c in multiquadric quasi-interpolation operator.
Hualin Xiao, Dan Qu
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A kind of improved univariate multiquadric quasi-interpolation operators [PDF]
Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ren-Hong Wang 0001, Min Xu, Qin Fang
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On the Numerical Solution of One-Dimensional Nonlinear Nonhomogeneous Burgers’ Equation
Journal of Applied Mathematics, 2014 The nonlinear Burgers’ equation is a simple form of Navier-Stocks equation. The nonlinear nature of Burgers’ equation has been exploited as a useful prototype differential equation for modeling many phenomena. This paper proposes two meshfree methods for
Maryam Sarboland, Azim Aminataei
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Journal of Inequalities and Applications, 2023 In this paper, a kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator is studied by combining the known multiquadric quasi-interpolation operator with the generalized Taylor polynomial as the expansion in the bivariate Bernoulli ...
Ruifeng Wu
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Approximation to the
Journal of Computational and Applied Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Limin Ma, Zongmin Wu
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Boundary Value ProblemsMultiquadric 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
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High accuracy quasi-interpolation using a new class of generalized multiquadrics [PDF]
Journal of Mathematical Analysis and ApplicationsA new generalization of multiquadric functions phi ( x ) = root c(2d) + || x ||(2d) , where x is an element of R-n , c is an element of R, d is an element of N, is presented to increase the accuracy of quasi -interpolation further. With the restriction to Euclidean spaces of odd dimensionality, the generalization can be used to generate a quasi ...
Ortmann, Mathis +2 more
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