学术活动

Analysis-based fast algorithms for convolution-type nonlocal potential - Yong Zhang(Wolfgang Pauli Institute, University of Vienna, Oskar-Morgenstern-Platz 1,2Courant Institute of Mathema tical Sciences, New York University, NY, United States)

作者:   来源:  时间:2017-09-04

 题目:Analysis-based fast algorithms for convolution-type nonlocal potential

报告人:     Yong Zhang(Wolfgang Pauli Institute, University of Vienna, Oskar-Morgenstern-Platz 1,2Courant Institute of Mathema tical Sciences, New York University, NY, United States)

 

 

Abstract:

Convolution-type potential are common and important in many science and engineering fields. Efficient and accurate evaluation of such nonlocal potentials is essential in practical simulations.In this talk, I will focus on those arising from quantum physics/chemistry and lightning-shield protection,including Coulomb, dipolar and Yukawa potentials that are generated by isotropic and anisotropic

smooth and fast-decaying density. The convolution kernel is usually singular ordiscontinuous at the origin and/or at the far field, and density might be anisotropic, which together present great challenges for numerics in both accuracy andefficiency. The state-of-art fast algorithms include Wavelet based Method, kerneltruncation method(KTM), NonUniform-FFT based method(NUFFT) and Gaussian-Sumbased method(GSM). Gaussian-sum/exponential-sum approximation and kernel truncation technique,combined with finite Fourier series and Taylor expansion, finally lead to a O(N log N) fast algorithmachieving spectral accuracy. Applications to NLSE are reviewed.

 

时间:   9月4日(星期一)9:00-10:00

地点:  首师大校本部新教二楼527教室