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  • 标题:A Simpler GMRES Method for Oscillatory Integrals with Irregular Oscillations
  • 本地全文:下载
  • 作者:Qinghua Wu ; Meiying Xiang
  • 期刊名称:Advances in Mathematical Physics
  • 印刷版ISSN:1687-9120
  • 电子版ISSN:1687-9139
  • 出版年度:2015
  • 卷号:2015
  • DOI:10.1155/2015/103074
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A simpler GMRES method for computing oscillatory integral is presented. Theoretical analysis shows that this method is mathematically equivalent to the GMRES method proposed by Olver (2009). Moreover, the simpler GMRES does not require upper Hessenberg matrix factorization, which leads to much simpler program and requires less work. Numerical experiments are conducted to illustrate the performance of the new method and show that in some cases the simpler GMRES method could achieve higher accuracy than GMRES.
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