تقرير
A numerical method of computing oscillatory integral related to hyperfunction theory
| العنوان: | A numerical method of computing oscillatory integral related to hyperfunction theory |
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| المؤلفون: | Ogata, Hidenori |
| سنة النشر: | 2019 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, 65D30 |
| الوصف: | In this paper, we propose a numerical method of computing an integral whose integrand is a slowly decaying oscillatory function. In the proposed method, we consider a complex analytic function in the upper-half complex plane, which is defined by an integral of the Fourier-Laplace transform type, and we obtain the desired integral by the analytic continuation of this analytic function onto the real axis using a continued fraction. We also remark that the proposed method is related to hyperfunction theory, a theory of generalized functions based on complex function theory. Numerical examples show the effectiveness of the proposed method. Comment: 8 pages, 1 figure |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1909.04911 |
| رقم الأكسشن: | edsarx.1909.04911 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |