Results 11 to 20 of about 865 (215)

Numerical Solution of Poisson's Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function Networks [PDF]

open access: yesJournal of Applied Mathematics, 2012
This paper presents numerical solution of elliptic partial differential equations (Poisson's equation) using a combination of logarithmic and multiquadric radial basis function networks.
Mohammad Mehdi Mazarei, Azim Aminataei
doaj   +2 more sources

Sparse approximate multiquadric interpolation

open access: yesComputers & Mathematics with Applications, 1994
The authors consider the following problem: given a set \(S\) of samples of a multivariate function \(f\) and an error tolerance \(\delta\), find the smallest set of points \(T \subseteq S\) such that if \(M\) is the multiquadric interpolant of \(T\), then the relative error between \(M\) and \(f\) over \(S\) is at most \(\delta\).
Carlson, R.E., Natarajan, B.K.
openaire   +2 more sources

Multiquadric prewavelets on nonequally spaced knots in one dimension [PDF]

open access: yesMathematics of Computation, 1995
In this paper, we identify univariate prewavelets on spaces spanned by translates of multiquadric functions and other radial basis functions with nonequally spaced centers (or "knots"). Although the multiquadric function and its relations are our prime examples, the theory is sufficiently ...
M. D. Buhmann
openaire   +3 more sources

Bivariate High-Accuracy Hermite-Type Multiquadric Quasi-Interpolation Operators

open access: yesJournal of Mathematics
In 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
doaj   +2 more sources

Use of Multiquadric Interpolation for Meteorological Objective Analysis [PDF]

open access: yesMonthly Weather Review, 1994
Abstract 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 uniform grid.
Nuss, Wendell A., Titley, David W.
openaire   +3 more sources

The parameter R2 in multiquadric interpolation

open access: yesComputers & Mathematics with Applications, 1991
For bivariate interpolation to the data \((x_ i,y_ i,z_ i)\) where the \((x_ i,y_ i)\) are arbitrary points the multiquadric method has been frequently applied [for references, see: \textit{R. L. Hardy}, Comput. Math. Appl. 19, 163-208 (1990; Zbl 0692.65003)]. The accuracy of the method depends on a user defined parameter \(R^ 2\). In the present paper
Carlson, Ralph E., Foley, Thomas A.
openaire   +3 more sources

Multiquadric Spline-Based Interactive Segmentation of Vascular Networks. [PDF]

open access: yesAnnu Int Conf IEEE Eng Med Biol Soc, 2016
Commonly used drawing tools for interactive image segmentation and labeling include active contours or boundaries, scribbles, rectangles and other shapes. Thin vessel shapes in images of vascular networks are difficult to segment using automatic or interactive methods.
Meena S   +7 more
europepmc   +5 more sources

A kind of improved bivariate even order Bernoulli-type multiquadric quasi-interpolation operator and its application in two-dimensional coupled Burgers’ equations

open access: yesBoundary Value Problems
Multiquadric 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
doaj   +2 more sources

Numerical Investigation for the Temporal Fractional Financial Option Pricing Partial Differential Equation Utilizing a Multiquadric Function

open access: yesFractal and Fractional
This paper proposes a computational procedure to resolve the temporal fractional financial option pricing partial differential equation (PDE) using a localized meshless approach via the multiquadric radial basis function (RBF).
Jia Li   +5 more
doaj   +2 more sources

Applying multiquadric quasi-interpolation for boundary detection

open access: yesComputers & Mathematics with Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qinjiao Gao, Zongmin Wu, Shenggang Zhang
openaire   +3 more sources

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