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On high precision methods for the evaluation of fourier integrals with finite and infinite limits

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Summary

The technique of Bakhvalov and Vasil'eva for evaluating Fourier integrals is discussed and used as the basis for providing computationally efficient and stable algorithms. The method is generalized to deal with a number of weight functions including those for the infinite ranges. A number of examples illustrate the methods.

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  1. Dept. of Applied Mathematics and Theoretical Physics, The Queen's University of Belfast, BT7 1NN, Belfast, Northern Ireland

    T. N. L. Patterson

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  1. T. N. L. Patterson
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Patterson, T.N.L. On high precision methods for the evaluation of fourier integrals with finite and infinite limits. Numer. Math. 27, 41–52 (1976). https://doi.org/10.1007/BF01399083

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  • DOI: https://doi.org/10.1007/BF01399083

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