کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5776652 | 1632157 | 2017 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Convergence of level-dependent Hermite subdivision schemes
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Subdivision schemes are known to be useful tools for approximation and interpolation of discrete data. In this paper, we study conditions for the convergence of level-dependent Hermite subdivision schemes, which act on vector valued data interpreting their components as function values and associated consecutive derivatives. In particular, we are interested in schemes preserving spaces of polynomials and exponentials. Such preservation property assures the existence of a cancellation operator in terms of which it is possible to obtain a factorization of the subdivision operators at each level. With the help of this factorization, we provide sufficient conditions for the convergence of the scheme based on some contractivity assumptions on the associated difference scheme.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 116, June 2017, Pages 119-128
Journal: Applied Numerical Mathematics - Volume 116, June 2017, Pages 119-128
نویسندگان
Costanza Conti, Mariantonia Cotronei, Tomas Sauer,