Complex generalized Gauss-Radau quadrature rules for Hankel transform

Time: 2026-01-28 08:15:00

Topic：Complex generalized Gauss-Radau quadrature rules for Hankel transform
Speaker：Prof. Wang Haiyong    Huazhong University of Science and Technology
Time：2026-01-28  16:00--17:00
Location：Room 401, East Building, School of Mathematics

Abstract:

    Hankel transform appears in many physical problems and its computation with traditional quadrature rules will be expensive when the oscillation of frequency is large. Complex Gaussian quadrature rules for oscillatory integral transforms have the attractive advantage that they have optimal asymptotic order. However, their existence remains an issue. In this talk, I will introduce complex generalized Gauss-Radau quadrature rules for Hankel transform and show that such rules can be constructed with theoretical guarantee.