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Operator factorization of scalar wave equation in frequency-domain

机译:频域中标量波动方程的算子分解

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摘要

A method for deriving the partial differential operator factorizations of the scalar wave equation in the time-domain were derived by Engquist and Majda (1977). An alternative way to derive these equations in the frequency-domain is presented. It is shown that the limitation and accuracy of the resulting one-way wave equations may be easier to observe from this derivation. The possibility of the similar finite-difference method based on the one-way wave equations derived by the operator factorization is also discussed.
机译:Engquist和Majda(1977)提出了一种在时域中导出标量波动方程的偏微分算子分解的方法。提出了在频域中导出这些方程的另一种方法。结果表明,从该推导中可以更容易地观察到所得单向波动方程的局限性和准确性。还讨论了基于算子分解得出的单向波动方程的类似有限差分方法的可能性。

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