Second generation wavelet based on adaptive solution of wave equation | |
Wang, Yi-Bo ; Yang, Hui-Zhu | |
2010-05-10 ; 2010-05-10 | |
关键词 | second generation wavelet wave equation lifting scheme semi-group finite difference PARTIAL-DIFFERENTIAL EQUATIONS INTERPOLATING WAVELETS LIFTING SCHEME CONSTRUCTION PDES Engineering, Multidisciplinary Mathematics, Applied Mechanics Physics, Mathematical |
中文摘要 | A second generation wavelet is developed for the adaptive numerical solutions of wave equations. The second-order temporal derivative of wave equation is reduced to first-order one by using a Hamilton approach. Second generation wavelet decomposition is used for the construction of dynamically adaptive computing grid, while a special finite difference scheme is introduced for the calculation of spatial derivative. By using a semi-group method, the discretized solution in time can be represented in an explicit recursive form. Numerical examples show the effectiveness of this method. |
语种 | 英语 ; 英语 |
出版者 | FREUND PUBLISHING HOUSE LTD ; TEL AVIV ; PO BOX 35010, TEL AVIV 61350, ISRAEL |
内容类型 | 期刊论文 |
源URL | [http://hdl.handle.net/123456789/24151] ![]() |
专题 | 清华大学 |
推荐引用方式 GB/T 7714 | Wang, Yi-Bo,Yang, Hui-Zhu. Second generation wavelet based on adaptive solution of wave equation[J],2010, 2010. |
APA | Wang, Yi-Bo,&Yang, Hui-Zhu.(2010).Second generation wavelet based on adaptive solution of wave equation.. |
MLA | Wang, Yi-Bo,et al."Second generation wavelet based on adaptive solution of wave equation".(2010). |
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