6533b7d6fe1ef96bd1266501

RESEARCH PRODUCT

Adaptive rational interpolation for cell-average

Francesc AràndigaDionisio F. Yáñez

subject

Degree (graph theory)Applied Mathematics010102 general mathematics01 natural sciences010101 applied mathematicsGibbs phenomenonsymbols.namesakeNonlinear systemsymbolsInterpolation operatorApplied mathematics0101 mathematicsInterpolationMathematics

description

Abstract In this paper, we extend the rational interpolation introduced by G. Ramponi et al. (1997, 1998, 1996, 1995) to the cell average setting. We propose a new family of non linear interpolation operator. It consists on constructing new approximations using a non linear weighted combination of polynomials of degree 1 or 2 to obtain new interpolations of degree 2 or 4 respectively. New weights are proposed and analyzed. Gibbs phenomenon is studied and some experiments are performed comparing the new methods with classical linear and non linear interpolation as Weighted Essentially Non-Oscillatory (WENO).

yearjournalcountryeditionlanguage
2020-09-01Applied Mathematics Letters
https://doi.org/10.1016/j.aml.2020.106393