کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6419380 1339409 2011 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An improved estimate of PSWF approximation and approximation by Mathieu functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
An improved estimate of PSWF approximation and approximation by Mathieu functions
چکیده انگلیسی

In this paper, an error estimate of spectral approximations by prolate spheroidal wave functions (PSWFs) with explicit dependence on the bandwidth parameter and optimal order of convergence is derived, which improves the existing result in [Chen et al., Spectral methods based on prolate spheroidal wave functions for hyperbolic PDEs, SIAM J. Numer. Anal. 43 (5) (2005) 1912-1933]. The underlying argument is applied to analyze spectral approximations of periodic functions by Mathieu functions, which leads to new estimates featured with explicit dependence on the intrinsic parameter.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 379, Issue 1, 1 July 2011, Pages 35-47
نویسندگان
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