Adaptive Interpolation by Scaled Multiquadrics
Advances in Computational Mathematics, 2002 Given a univariate data sample, the authors present an adaptative method to select a subsample in such a way that shape preserving information is extracted, that is to say, that the interpolating function constructed by the subsample reproduces the signal with a good graphical accuracy.
Bozzini, M. +2 more
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Filtering techniques for the detection of Sunyaev-Zel'dovich clusters in multifrequency CMB maps [PDF]
, 2002 The problem of detecting Sunyaev-Zel'dovich (SZ) clusters in multifrequency CMB observations is investigated using a number of filtering techniques. A multifilter approach is introduced, which optimizes the detection of SZ clusters on microwave maps.
Barreiro, R. B. +6 more
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Multi-quadric collocation model of horizontal crustal movement [PDF]
Solid Earth, 2016 To establish the horizontal crustal movement velocity field of the Chinese mainland, a Hardy multi-quadric fitting model and collocation are usually used.
G. Chen, A. Zeng, F. Ming, Y. Jing
doaj +1 more source
A Radial Basis Function Collocation Method for Space-dependent Inverse Heat Problems [PDF]
Journal of Applied and Computational Mechanics, 2020 In this study, a radial basis function collocation method (RBFCM) is proposed for the numerical treatment of inverse space-wise dependent heat source problems.
Muhammad Nawaz Khan +2 more
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Quantification of airfoil geometry-induced aerodynamic uncertainties - comparison of approaches [PDF]
, 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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Sparse approximate multiquadric interpolation
Computers & 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.
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Investigation of Higher Order Localized Approximations for a Fractional Pricing Model in Finance
Mathematics, 2023 In this work, by considering spatial uniform meshes and stencils having five adjacent discretization nodes, we furnish a numerical scheme to solve the time-fractional Black–Scholes (partial differential equation) PDE to price financial options under the ...
Malik Zaka Ullah +3 more
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Sequential optimization of strip bending process using multiquadric radial basis function surrogate models [PDF]
, 2013 Surrogate models are used within the sequential optimization strategy for forming processes. A sequential improvement (SI) scheme is used to refine the surrogate model in the optimal region. One of the popular surrogate modeling methods for SI is Kriging.
Boogaard, A.H. van den +2 more
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A Meshfree Time-Splitting Approach for the Time-Fractional Burgers’ Equation
Journal of Mathematics, 2023 We consider to represent an algorithm for time-fractional Burgers’ equation utilizing the multiquadric-radial basis functions with the time-splitting technique. This algorithm is performed on the three examples.
Erdal Korkmaz, Kenan Yildirim
doaj +1 more source
Multiquadric Spline-Based Interactive Segmentation of Vascular Networks. [PDF]
Annu 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 +4 more sources