ISSN:
1572-9125
Keywords:
Oscillatory integral
;
Asymptotic expansion
;
Compound precision
;
Gauss-Laguerre quadrature
;
Markov numerical differentiation
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A constructive process is presented which leads to a class of quadrature formulas with any preassigned compound precision for the numerical integration of rapidly oscillating functions on (0, ∞) of the forme −x F(x, λx), whereλ is a large parameter andF(·,y) is periodic of period unity iny. 1980 Mathematics Subject Classification, Primary 41A55, Scondary 41A60
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01932137
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