Numerical Quadrature for Bessel Transformations with High Oscillations
作者： Shuhuang Xiang
DOI: 10.1007/978-3-642-00464-3_69
关键词: Bessel function 、 Numerical integration 、 Order (ring theory) 、 Mathematical analysis 、 Mathematics
摘要: We explore higher order numerical quadrature for the integration of systems containing Bessel functions such as $\int_a^b f(x)J_{\nu}(rx)dx$ and f(x)\cos(r_1x)J_{\nu}(rx)dx$. The decay error these methods drastically improves frequency grows.
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