Zobrazeno 1 - 10
of 441
pro vyhledávání: '"Dionisio, F"'
Autor:
Yáñez, Dionisio F.
In this work, we present some new integration formulas for any order of accuracy as an application of the B-spline relations obtained in [1]. The resulting rules are defined as a perturbation of the trapezoidal integration method. We prove the order
Externí odkaz:
http://arxiv.org/abs/2405.11469
The weighted essentially non-oscillatory {technique} using a stencil of $2r$ points (WENO-$2r$) is an interpolatory method that consists in obtaining a higher approximation order from the non-linear combination of interpolants of $r+1$ nodes. The res
Externí odkaz:
http://arxiv.org/abs/2404.16694
Autor:
Baeza, Antonio, Yáñez, Dionisio F.
Publikováno v:
Applied Numerical Mathematics 181 (2022) 320-325
In the context of cubic splines, the authors have contributed to a recent paper dealing with the computation of nonlinear derivatives at the interior nodes so that monotonicity is enforced while keeping the order of approximation of the spline as hig
Externí odkaz:
http://arxiv.org/abs/2402.01324
The generation of curves and surfaces from given data is a well-known problem in Computer-Aided Design that can be approached using subdivision schemes. They are powerful tools that allow obtaining new data from the initial one by means of simple cal
Externí odkaz:
http://arxiv.org/abs/2309.03500
In this work we present a new WENO b-spline based quasi-interpolation algorithm. The novelty of this construction resides in the application of the WENO weights to the b-spline functions, that are a partition of unity, instead to the coefficients tha
Externí odkaz:
http://arxiv.org/abs/2308.06153
Given cell-average data values of a piecewise smooth bivariate function $f$ within a domain $\Omega$, we look for a piecewise adaptive approximation to $f$. We are interested in an explicit and global (smooth) approach. Bivariate approximation techni
Externí odkaz:
http://arxiv.org/abs/2201.10823
Given gridded cell-average data of a smooth multivariate function, we present a constructive explicit procedure for generating a high-order global approximation of the function. One contribution is the derivation of high order approximations to point
Externí odkaz:
http://arxiv.org/abs/2112.10119
Publikováno v:
In Applied Numerical Mathematics October 2024 204:26-47
Spline interpolation has been used in several applications due to its favorable properties regarding smoothness and accuracy of the interpolant. However, when there exists a discontinuity or a steep gradient in the data, some artifacts can appear due
Externí odkaz:
http://arxiv.org/abs/2102.11564
Autor:
Arandiga, Francesc, Yanez, Dionisio F.
Adaptive rational interpolation has been designed in the context of image processing as a new nonlinear technique that avoids the Gibbs phenomenon when we approximate a discontinuous function. In this work, we present a generalization to the method g
Externí odkaz:
http://arxiv.org/abs/2010.00867