کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4643228 | 1341372 | 2006 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A two-dimensional wavelet-packet transform for matrix compression of integral equations with highly oscillatory kernel
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A two-dimensional wavelet-packet transform for matrix compression of integral equations with highly oscillatory kernel A two-dimensional wavelet-packet transform for matrix compression of integral equations with highly oscillatory kernel](/preview/png/4643228.png)
چکیده انگلیسی
We examine the use of wavelet packets for the fast solution of integral equations with a highly oscillatory kernel. The redundancy of the wavelet packet transform allows the selection of a basis tailored to the problem at hand. It is shown that a well chosen wavelet packet basis is better suited to compress the discretized system than wavelets. The complexity of the matrix–vector product in an iterative solution method is then substantially reduced. A two-dimensional wavelet packet transform is derived and compared with a number of one-dimensional transforms that were presented earlier in literature. By means of some numerical experiments we illustrate the improved efficiency of the two-dimensional approach.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 197, Issue 1, 1 December 2006, Pages 218–232
Journal: Journal of Computational and Applied Mathematics - Volume 197, Issue 1, 1 December 2006, Pages 218–232
نویسندگان
Daan Huybrechs, Stefan Vandewalle,