学术报告
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）
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
