Oscillation-preserving Legendre-Galerkin methods for second kind integral equations with highly oscillatory kernels

Author:

Cai Haotao

Funder

Natural Science Foundation of Shandong Province

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference36 articles.

1. Atkinson, K.E.: The Numerical Solution of Integral Equations of Second Kind. Cambridge University Press, Cambridge (1997)

2. Brunner, H.: Collocation Methods for Volterra Integral and Related Functional Equations Methods. Cambridge University Press, Cambridge (2004)

3. Brunner, H.: On Volterra integral operators with highly oscillatory kernels. Discr. Cont. Dynam. Syst. 34, 915–929 (2014)

4. Brunner, H., Iserles, A., Norsett, S.P.: The computation of the spectra of highly oscillatory Fredholm integral operators. J. Int. Equat. Appl. 23, 467–519 (2011)

5. Brunner, H., Iserles, A., Norsett, S.P.: The spectral problem for a class of highly oscillatory Fredholm integral operators. IMA J. Numer. Anal. 30, 108–130 (2010)

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