کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4605197 1337553 2014 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fast cubature of volume potentials over rectangular domains by approximate approximations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Fast cubature of volume potentials over rectangular domains by approximate approximations
چکیده انگلیسی
In the present paper we study high-order cubature formulas for the computation of advection-diffusion potentials over boxes. By using the basis functions introduced in the theory of approximate approximations, the cubature of a potential is reduced to the quadrature of one-dimensional integrals. For densities with separated approximation, we derive a tensor product representation of the integral operator which admits efficient cubature procedures in very high dimensions. Numerical tests show that these formulas are accurate and provide approximation of order O(h6) up to dimension 108.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 36, Issue 1, January 2014, Pages 167-182
نویسندگان
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