کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4643546 | 1341385 | 2006 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A polynomial approach to the spectral corrections for Sturm-Liouville problems
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A polynomial approach to the spectral corrections for Sturm-Liouville problems A polynomial approach to the spectral corrections for Sturm-Liouville problems](/preview/png/4643546.png)
چکیده انگلیسی
A technique based on the evaluation of the zeros of a polynomial is proposed to estimate the spectral errors and set up a correcting procedure in Sturm-Liouville problems. The method suggested shows its effectiveness both in the regular and nonregular case and can be successfully applied also to those problems containing the eigenvalue parameter rationally. Some numerical experiments clearly confirm the theoretical results. In the case of an eigenvalue embedded in the essential spectrum the correcting procedure seems to be particularly helpful because the inner singularity gives rise to possible decay of the performance of some classical methods for the numerical integration.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 185, Issue 2, 15 January 2006, Pages 360-376
Journal: Journal of Computational and Applied Mathematics - Volume 185, Issue 2, 15 January 2006, Pages 360-376
نویسندگان
P. Ghelardoni, G. Gheri, M. Marletta,