کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4632342 | 1340642 | 2010 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the convergence of the method for indefinite integration of oscillatory and singular functions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the convergence of the method for indefinite integration of oscillatory and singular functions On the convergence of the method for indefinite integration of oscillatory and singular functions](/preview/png/4632342.png)
چکیده انگلیسی
We consider the problem of convergence and error estimation of the method for computing indefinite integrals proposed in Keller [8]. To this end, we have analysed the properties of the difference operator related to the difference equation for the Chebyshev coefficients of a function that satisfies a given linear differential equation with polynomial coefficients. Properties of this operator were never investigated before. The obtained results lead us to the conclusion that the studied method is always convergent. We also give a rigorous proof of the error estimates.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 216, Issue 3, 1 April 2010, Pages 989-998
Journal: Applied Mathematics and Computation - Volume 216, Issue 3, 1 April 2010, Pages 989-998
نویسندگان
PaweŠKeller, PaweŠWoźny,