Efficient representation and accurate evaluation of oscillatoryintegrals and functions

Efficient representation and accurate evaluation of oscillatoryintegrals and functions
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振荡积分和函数的高效表示和准确评估

DOI:
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发表时间:
2016
期刊:
影响因子:
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通讯作者:
Lucas Monzón
Lucas Monzón
中科院分区:
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文献类型:
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作者:
G. Beylkin;Lucas Monzón

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介绍了一种新的振荡函数表示方法
We introduce a new method for functional representation of oscillatory integrals within any user-supplied accuracy. Our approach is based on robust methods for nonlinear approximation of functions via exponentials. The complexity of evaluation of the resulting representations of the oscillatory integrals does not depend or depends only mildly on the size of the parameter responsible for the oscillatory behavior.