返回信息流理学院“青年学术论坛”第41期 讲座题目:Accurate and efficient computation of some nonlocal potentials based on Gaussian-sum approximation
主讲人:张勇博士(维也纳大学)主持人:陈秀卿教授
时 间:2015年3月5日(周四)上午10:00-11:00地 点:主楼1214
主要内容:We introduce an accurate and efficient method for the evaluation of a class of free
space nonlocal potentials, such as the free space Coulomb and Poisson potential in 2D/3D and
dipolar potential in 2D/3D. Starting from the convolution formulation, for smooth and fast decaying
densities, we make a full use of the Fourier pesudospectral (plane wave) approximation of the density
and a separable Gaussian sums approximation of the kernel in an interval where the singularity point
(the origin) is excluded. Hence, the potential is split into a regular integral and a correction integral, and
the latter is well resolved utilising a low-order Taylor expansion of the density. Both can be
computed with fast Fourier transforms (FFT). The method is accurate (14-16 digits), efficient (O(N
log N) complexity), low in storage, easily adaptable to other different kernels, applicable for
anisotropic densities and highly parallel able.
主讲人简介: 请见附件
附件:Yong-Cv1.pdf 理学院
2015年3月3日
http://portal.bupt.edu.cn//html/main/col38/2015-03/04/20150304090153905291932_1.html
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理学院“青年学术论坛”第41期
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