On certain inequalities associated to curvature properties of the nonlinear PPH reconstruction operator

On certain inequalities associated to curvature properties of the nonlinear PPH reconstruction operator

Abstract In this paper we study the curvature term for the Lagrange and PPH (Amat et al. in Found. Comput. Math. 6:193–225, 2006 and Ortiz and Trillo in Preprint, arXiv:1811.10566, 2018) reconstruction operators in uniform and nonuniform meshes. We also make a comparison between both curvature terms...

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Bibliographic Details
Main Authors: J. C. Trillo, P. Ortiz
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Journal of Inequalities and Applications
Subjects:
Interpolation
Approximation
Curvature
Reconstruction operator
Nonlinearity
Nonuniform grids
Online Access:http://link.springer.com/article/10.1186/s13660-019-1959-0

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http://link.springer.com/article/10.1186/s13660-019-1959-0

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