Mathematics | |
A Piecewise Polynomial Harmonic Nonlinear Interpolatory Reconstruction Operator on Non Uniform Grids—Adaptation around Jump Discontinuities and Elimination of Gibbs Phenomenon | |
JuanCarlos Trillo1  Pedro Ortiz1  | |
[1] Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, 30202 Cartagena, Spain; | |
关键词: interpolation; reconstruction; nonlinearity; nonuniform; σ quasi-uniform; adaption; | |
DOI : 10.3390/math9040335 | |
来源: DOAJ |
【 摘 要 】
In this paper, we analyze the behavior of a nonlinear reconstruction operator called PPH around discontinuities. The acronym PPH stands for Piecewise Polynomial Harmonic, since it uses piecewise polynomials defined by means of an adaption based on the use of the weighted Harmonic mean. This study is carried out in the general case of nonuniform grids, although for some results we restrict to
【 授权许可】
Unknown