报告题目：Log Orthogonal Functions in Semi-Infinite Intervals: Approximation Results and Applications

报告时间：2023-05-22  15:30 - 16:30

报告人：陈升 副教授  北京师范大学

报告地点：理学院东北楼四楼报告厅

Abstract: We construct two new classes of log orthogonal functions in semi-infinite intervals, log orthogonal functions (LOFs-II) and generalized log orthogonal functions (GLOFs-II), by applying a suitable log mapping to Laguerre polynomials. We develop basic approximation theory for these new orthogonal functions, and show that they can provide uniformly good exponential convergence rates for problems in semi-infinite intervals with slow decay at infinity. We apply them to solve several linear and nonlinear differential equations whose solutions decay algebraically or exponentially with very slow rates, and present ample numerical results to show the effectiveness of the approximations by LOFs-II and GLOFs-II.