Abstract:A collocation procedure for efficient integration of rapidly oscillatory functions is presented. The integration problem is transformed into a certain O.D.E. problem, and this is solved by a collocation technique. The method is also extended to two-dimensional integration, and some numerical results are appended showing the efficiency of the method in handling difficult cases of rapid irregular oscillations.
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- © Copyright 1982 American Mathematical Society
- Journal: Math. Comp. 38 (1982), 531-538
- MSC: Primary 65D30
- DOI: https://doi.org/10.1090/S0025-5718-1982-0645668-7
- MathSciNet review: 645668