On a nonlinear subdivision scheme avoiding Gibbs oscillations and converging towards Cs functions with s>1
نویسندگان
چکیده
This paper presents a new nonlinear dyadic subdivision scheme eliminating the Gibbs oscillations close to discontinuities. Its convergence, stability and order of approximation are analyzed. It is proved that this scheme converges towards limit functions Hölder continuous with exponent larger than 1.299. Numerical estimates provide a Hölder exponent of 2.438. This subdivision scheme is the first one that simultaneously achieves the control of the Gibbs phenomenon and has limit functions with Hölder exponent larger than 1.
منابع مشابه
On a C-nonlinear subdivision scheme avoiding Gibbs oscillations
This paper is devoted to the presentation and the study of a new nonlinear subdivision scheme eliminating the Gibbs oscillations close to discontinuities. Its convergence, stability and order of approximation are analyzed. It is proved that this scheme converges towards limit functions of Hölder regularity index larger than 1.192. Numerical estimates provide an Hölder regularity index of 2.438....
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عنوان ژورنال:
- Math. Comput.
دوره 80 شماره
صفحات -
تاریخ انتشار 2011