Results 21 to 30 of about 854,539 (114)
A shape preserving quasi-interpolation operator based on a new transcendental rbf [PDF]
, 2021 It is well-known that the univariate Multiquadric quasi-interpolation operator is constructed based on the piecewise linear interpolation by |x|. In this paper, we first introduce a new transcendental RBF based on the hyperbolic tangent function as a ...
De Marchi S., Mohammadi M., Heidari M.
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International Journal of Atmospheric Sciences, Volume 2015, Issue 1, 2015., 2015 During premonsoon season (March to May) convective developments in various forms are common phenomena over the Gangetic West Bengal, India. In the present work, simulation of wind squall on three different dates has been attempted with the help of mesoscale model MM5.
Prosenjit Chatterjee +3 more
wiley +1 more source
Multiquadric interpolation improved [PDF]
, 1992 Our concern in this paper is the improvement of localization properties of multiquadric interpolation on a multivariate integer ...
Micchelli, Charles A. +1 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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International Journal of Differential Equations, Volume 2015, Issue 1, 2015., 2015 Meshless method of line is a powerful device to solve time‐dependent partial differential equations. In integrating step, choosing a suitable set of points, such as adaptive nodes in spatial domain, can be useful, although in some cases this can cause ill‐conditioning.
Jafar Biazar +2 more
wiley +1 more source
Numerical Solution of Nonlinear Sine‐Gordon Equation by Modified Cubic B‐Spline Collocation Method
International Journal of Partial Differential Equations, Volume 2014, Issue 1, 2014., 2014 Modified cubic B‐spline collocation method is discussed for the numerical solution of one‐dimensional nonlinear sine‐Gordon equation. The method is based on collocation of modified cubic B‐splines over finite elements, so we have continuity of the dependent variable and its first two derivatives throughout the solution range.
R. C. Mittal +2 more
wiley +1 more source
High Accuracy Quasi-Interpolation using a new class of generalized Multiquadrics [PDF]
, 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.
Ortmann, Mathis, Buhmann, Martin
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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.
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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
Use of multiquadric interpolation for meteorological objective analysis [PDF]
, 1994 The method of multiquadric interpolation is described and compared to the Barnes and Cressman methods of meteorological objective analysis. The method of multiquadric interpolation uses hyperboloid radial basis functions to fit scattered data to a ...
Titley, David W., Nuss, Wendell A.
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