Results 11 to 20 of about 800 (107)
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 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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High Accuracy Quasi-Interpolation using a new class of generalized Multiquadrics
Journal of Mathematical Analysis and Applications, 2023 A new generalization of multiquadric functions $\phi(x)=\sqrt{c^{2d}+||x||^{2d}}$, where $x\in\mathbb{R}^n$, $c\in \mathbb{R}$, $d\in \mathbb{N}$, is presented to increase the accuracy of quasi-interpolation further.
Buhmann, Martin, Ortmann, Mathis
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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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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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High accuracy multiquadric quasi-interpolation
Applied Mathematical Modelling, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiang, Zi-Wu +3 more
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Applying multiquadric quasi-interpolation for boundary detection
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gao, Qinjiao +2 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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