Abstract
Based on Daubechies wavelets on the interval, a fast algorithm for calculating Cauchy singular integral is presented. Before this, the sparseness of the representation of Cauchy singular integral in Daubechies wavelets on the interval are also studied. In the last section, we compare the errors obtained by the three methods: general wavelets, periodic wavelets and wavelets on the interval.
The numerical result shows obviously that the errors obtained by the last method are independent on the location of the variance and the choice of the coarsest scale.
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© 2000 Kluwer Academic Publishers
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Lin, W., Li, Q. (2000). The Algorithm Implementation of Cauchy Singular Integral in Daubechies Wavelets on the Interval. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0269-8_20
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DOI: https://doi.org/10.1007/978-1-4613-0269-8_20
Publisher Name: Springer, Boston, MA
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