A numerical evaluation of very oscillatory infinite integrals by asymptotics |
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Authors: | Bui Doan Khanh |
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Affiliation: | Department of Mathematics UER No. 47, tour 46 Université Pierre-et-Marie-Curie 4 place Jussieu 75005 Paris, France |
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Abstract: | Recently, Levin and Sidi have given some nonlinear methods for the accurate evaluation of slowly converging infinite integrals. But, one needs to solve some very instable linear systems, when, for example, the integrand have an increasingly rapid oscillatory behavior at infinity. In this work, we present a direct method, which avoids the instable linear systems. |
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