Delaminating quadrature method for multi-dimensional highly oscillatory integrals
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摘要
A delaminating quadrature method for multi-dimensional highly oscillatory integrals is put forward. In comparison with the Levin method, the new method has the benefits of being numerically stable and having a high computational speed. Numerical experiments testified the advantages of this method.
论文关键词：Oscillatory integral,Partial differential equation,Spectral method,Chebyshev differential matrix,Ill-conditioned matrix,Truncated singular value decomposition,Stationary point,Resonant point
论文评审过程：Received 13 May 2008, Revised 15 December 2008, Accepted 19 December 2008, Available online 30 December 2008.
论文官网地址：https://doi.org/10.1016/j.amc.2008.12.061
