کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10346879 | 698918 | 2005 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
High-order corrected trapezoidal quadrature rules for the coulomb potential in three dimensions
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: High-order corrected trapezoidal quadrature rules for the coulomb potential in three dimensions High-order corrected trapezoidal quadrature rules for the coulomb potential in three dimensions](/preview/png/10346879.png)
چکیده انگلیسی
where the domain D is a cube containing the point of singularity (0,0,0) and v is a Câ function defined on â3. The procedure employed here is a generalization to 3-D of the method of central corrections for logarithmic singularities [1] in one dimension, and [2] in two dimensions. As in one and two dimensions, the correction coefficients for high-order trapezoidal rules for J(v) are independent of the number of sampling points used to discretize the cube D. When v is compactly supported in D, the approximation is the trapezoidal rule plus a local weighted sum of the values of v around the point of singularity. These quadrature rules provide an efficient, stable and accurate way of approximating J(v). We demonstrate the performance of these quadratures of orders up to 17 for highly oscillatory functions v. These type of integrals appear in scattering calculations in 3-D.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 49, Issue 4, February 2005, Pages 625-631
Journal: Computers & Mathematics with Applications - Volume 49, Issue 4, February 2005, Pages 625-631
نویسندگان
J.C. Aguilar, Yu Chen,