6533b82bfe1ef96bd128df1f

RESEARCH PRODUCT

Weighted-Power p Nonlinear Subdivision Schemes

Rosa DonatMaria SantáguedaFrancesc Aràndiga

subject

Discrete mathematicsNonlinear systemGeneralizationbusiness.industryConvergence (routing)MathematicsofComputing_NUMERICALANALYSISStability (learning theory)Order (group theory)Harmonic (mathematics)businessMathematicsPower (physics)Subdivision

description

In this paper we present and analyze a generalization of the Powerp subdivision schemes proposed in [3,12]. The Weighted-Powerp schemes are based on a harmonic weighted version of the Power<emp average considered in [12], and their development is motivated by the desire to generalize the nonlinear analysis in [3,5] to interpolatory subdivision schemes with higher than second order accuracy.

yearjournalcountryeditionlanguage
2012-01-01
https://doi.org/10.1007/978-3-642-27413-8_7