NUMERICAL ANALYSIS OF A FAST INTEGRATION METHOD FOR HIGHLY OSCILLATORY FUNCTIONS
作者： Shuhuang Xiang
DOI: 10.1007/S10543-007-0127-Y
关键词: Numerical approximation 、 Mathematical analysis 、 Numerical integration 、 Error analysis 、 Mathematics 、 Quadrature (mathematics) 、 Numerical analysis 、 Bessel function 、 Cylindrical harmonics 、 Collocation method
摘要: The integration of systems containing Bessel functions is a central point in many practical problems physics, chemistry and engineering. This paper presents new numerical analysis for the collocation method presented by Levin \(\int_a^b f(x)S(rx)dx\) gives more accurate error about functions. effectiveness accuracy quadrature tested with large arguments.
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