In this paper we present a high order method for the evaluation of integrals of highly oscillatory fuctions. The integration problem is transformed into an initial value problem for ordinary differential equations and solved by Runge-Kutta methods. After the comparison with different Runge-Kutta schemes, we propose an algorithm based on Gaussian method of order $p=8$. A lot of examples are given.
High order robust method for the integration of rapid oscillatory functions
VERMIGLIO, Rossana
2000-01-01
Abstract
In this paper we present a high order method for the evaluation of integrals of highly oscillatory fuctions. The integration problem is transformed into an initial value problem for ordinary differential equations and solved by Runge-Kutta methods. After the comparison with different Runge-Kutta schemes, we propose an algorithm based on Gaussian method of order $p=8$. A lot of examples are given.File in questo prodotto:
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