کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10350340 | 863835 | 2005 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Multivariate approximants with Levin-like transforms
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موضوعات مرتبط
مهندسی و علوم پایه
شیمی
شیمی تئوریک و عملی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
It is well known that Levin-like univariate approximants work better than Padé approximants for a large class of functions. We propose to investigate the Levin-like multivariate approximants. It is shown that a simple modification of the qd-algorithm makes it possible to construct the homogeneous multivariate Padé approximants of order [n,n] and [n,n+1]. We demonstrate how to construct the homogeneous and nested Levin-like approximants and compare their effectiveness with the homogeneous and nested Padé approximants which exhaust the same number of terms of a series in more than one variable. It is found that the Levin-like multivariate approximants are much more effective for a large class of functions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Physics Communications - Volume 172, Issue 1, 15 October 2005, Pages 1-18
Journal: Computer Physics Communications - Volume 172, Issue 1, 15 October 2005, Pages 1-18
نویسندگان
Dhiranjan Roy, Ranjan Bhattacharya,