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math.NA2019★ 1 cited
Levin methods for highly oscillatory integrals with singularities
Yinkun Wang, Shuhuang Xiang
In this paper, new Levin methods are presented for calculating oscillatory integrals with algebraic and/or logarithmic singularities. To avoid singularity, the technique of singula…
math.NA2019★ 1 cited
A Levin method for logarithmically singular oscillatory integrals
Yinkun Wang, Shuhuang Xiang
We propose a new stable Levin method to compute oscillatory integrals with logarithmic singularities and without stationary points. To avoid the singularity, we apply the technique…