Search Results - "Remogna, S."
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Trivariate near-best blending spline quasi-interpolation operators
Published in Numerical algorithms (01-05-2018)“…A method to define trivariate spline quasi-interpolation operators (QIOs) is developed by blending univariate and bivariate operators whose linear functionals…”
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On trivariate blending sums of univariate and bivariate quadratic spline quasi-interpolants on bounded domains
Published in Computer aided geometric design (01-02-2011)“…The aim of this paper is to investigate, in a bounded domain of R 3 , two blending sums of univariate and bivariate C 1 quadratic spline quasi-interpolants…”
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Local C 2 -smooth spline quasi-interpolation methods
Published in Applied mathematics letters (01-02-2025)Get full text
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Local C2-smooth spline quasi-interpolation methods
Published in Applied mathematics letters (01-02-2025)“…In this paper we construct new univariate local C2 quasi-interpolating splines having specific polynomial reproduction properties. The splines are directly…”
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Numerical solution of nonlinear Fredholm–Hammerstein integral equations with logarithmic kernel by spline quasi-interpolating projectors
Published in Mathematics and computers in simulation (01-09-2024)“…Nonlinear Fredholm–Hammerstein integral equations with logarithmic kernel are here taken into account and numerically solved by spline quasi-interpolating…”
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Superconvergent methods based on quasi-interpolating operators for fredholm integral equations of the second kind
Published in Applied mathematics and computation (01-09-2021)“…•New superconvergent degenerate kernel method, based on quasi-interpolants, for solving Fredholm integral equations of the second kind.•New superconvergent…”
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Low-degree spline quasi-interpolants in the Bernstein basis
Published in Applied mathematics and computation (15-11-2023)“…•The referees’ comments have been incorporated into the new version of the manuscript, correcting many typos.•The structure of the paper has been improved and…”
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Spline quasi-interpolation in the Bernstein basis on the Powell–Sabin 6-split of a type-1 triangulation
Published in Journal of computational and applied mathematics (01-05-2023)“…In this paper, we provide quasi-interpolation schemes defined on a uniform triangulation of type-1 endowed with a Powell–Sabin refinement. In contrast to the…”
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On numerical solution of Fredholm and Hammerstein integral equations via Nyström method and Gaussian quadrature rules for splines
Published in Applied numerical mathematics (01-04-2022)“…Nyström method is a standard numerical technique to solve Fredholm integral equations of the second kind where the integration of the kernel is approximated…”
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h-Bernstein basis functions over a triangular domain
Published in Computer aided geometric design (01-05-2020)“…•New bivariate h-Bernstein basis on a triangular domain with a shape parameter h.•Interesting algebraic and geometric properties of the h-Bernstein…”
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On the construction of trivariate near-best quasi-interpolants based on C2 quartic splines on type-6 tetrahedral partitions
Published in Journal of computational and applied mathematics (01-02-2017)“…The construction of new quasi-interpolants (QIs) having optimal approximation order and small infinity norm and based on a trivariate C2 quartic box spline is…”
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A trivariate near-best blending quadratic quasi-interpolant
Published in Mathematics and computers in simulation (01-10-2020)“…In this paper, we construct a new trivariate spline quasi-interpolation operator. It is expressed as blending sum of univariate and bivariate C1 quadratic…”
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Curve network interpolation by C 1 quadratic B-spline surfaces
Published in Computer aided geometric design (01-12-2015)Get full text
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On the construction of trivariate near-best quasi-interpolants based on quartic splines on type-6 tetrahedral partitions
Published in Journal of computational and applied mathematics (01-02-2017)“…The construction of new quasi-interpolants (QIs) having optimal approximation order and small infinity norm and based on a trivariate quartic box spline is…”
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Curve network interpolation by C1 quadratic B-spline surfaces
Published in Computer aided geometric design (01-12-2015)“…In this paper we investigate the problem of interpolating a B-spline curve network, in order to create a surface satisfying such a constraint and defined by…”
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Quasi-interpolation based on bivariate quadratic B-splines with multiple knots
Published in Proceedings in applied mathematics and mechanics (01-12-2007)“…Taking into account the results given in [1, 3, 4] on bivariate spline quasi‐interpolation and in [5] on the effects of multiple knots, in this paper we…”
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