Za Norbertom Wienerom
Numerical integration with highly oscillating weight functions
The paper describes a new numerical method for the computation of integrals with the weight function exp, integer, which can be used for improper and multiple integrals. The compound rules of this method use parameters, of weighted quadratures of Gauss type which are tabulated for various . The using of the method especially for high is demonstrated by numerical experiments.
Numerical integration with weight functions , on ,
The paper describes a numerical method for computation of integrals with weight functions cos , sin (-integer), and its convergence and the estimation of the remainder is investigated. Some weight coefficients of these formulae are tabulated and their application is demonstrated by numerical experiments.
Замечания об оптимализации одномерных численных квадратур при аналитически заданной подинтегральной функции
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