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Fast collocation methods for Volterra integral equations of convolution type. (English) Zbl 1104.65122
The authors study fast collocation methods for Volterra integral equations of convolution type. They construct fast discrete collocation methods which involve evaluations of the Laplace transform of the kernel. The exact collocation methods are generalization of those by C. Lubich and A. Schädle [SIAM J. Sci. Comput. 24, No. 1, 161–182 (2002; Zbl 1013.65113)]. Numerical results are presented. The methods presented in this paper are highly parallelizable.

65R20 Numerical methods for integral equations
65Y05 Parallel numerical computation
45G10 Other nonlinear integral equations
Algorithm 689
Full Text: DOI
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