报告人：高静（西安交通大学）

邀请人：王海永

报告时间：2024年3月30日（星期六）10:00-11:30

报告地点：科技楼南楼706室

报告题目：Asymptotic computation for the bivariate oscillatory integral with stationary line

报告摘要：In the talk, one asymptotic analysis and a cubature for the bivariate oscillatory integral with a stationary line are presented. The bivariate oscillatory integral is expanded into an asymptotic expansion in the negative powers of the oscillatory parameter. The complete asymptotic expansion is obtained, including the partial derivatives at all vertices and the integrals of the non-oscillatory function. Relying on the bivariate interpolatory way, a cubature is constructed. This method works well for small and large oscillatory parameters, in contrast to the asymptotic expansion method. The asymptotic error of the cubature decays very fast, reaching an arbitrarily asymptotic order. The numerical results illustrate the error and asymptotic order.

报告人简介：高静，西安交通大学数学与统计学院副教授、硕士研究生导师。主要从事高振荡现象及其计算、渐近分析和谱方法的研究。在Mathematics of Computation, Journal of Computational Physics, BIT Numerical Mathematics, Nonlinear Analysis, Science China Mathematics等国内外重要学术期刊杂志上发表论文30多篇。主持完成国家自然科学基金2项和教育部博士点专项1项、陕西省工业攻关项目和省自然科学基金等科研项目4项。