Complex Gaussian quadrature for oscillatory integral transforms
讲座名称：
Complex Gaussian quadrature for oscillatory integral transforms
讲座时间：
2023-06-28
讲座人：
王海永
形式：
线下
校区：
兴庆校区
实践学分：
0
讲座内容：
讲座题目：Complex Gaussian quadrature for oscillatory integral transforms
讲座时间：2023年06月28日，星期三，10:00—11：00
讲座地点：数学楼2-3
讲座人：王海永教授，华中科技大学
讲座简介： Highly oscillatory integrals arise in many practical problems, including acoustic scattering, electronic circuits and laser simulations. The cost of computing such integrals with traditional quadrature rules may be prohibitive and therefore it is necessary to develop some efficient and affordable methods. In this talk, we shall introduce some new complex Gaussian quadrature rules for oscillatory integral transforms on positive real axis. We show that the existence of these rules can always be guaranteed and they possess a remarkable advantage that their accuracy improves rapidly as the frequency of oscillations increases. Numerical experiments are presented to show the performance of the proposed rules.
讲座时间：2023年06月28日，星期三，10:00—11：00
讲座地点：数学楼2-3
讲座人：王海永教授，华中科技大学
讲座简介： Highly oscillatory integrals arise in many practical problems, including acoustic scattering, electronic circuits and laser simulations. The cost of computing such integrals with traditional quadrature rules may be prohibitive and therefore it is necessary to develop some efficient and affordable methods. In this talk, we shall introduce some new complex Gaussian quadrature rules for oscillatory integral transforms on positive real axis. We show that the existence of these rules can always be guaranteed and they possess a remarkable advantage that their accuracy improves rapidly as the frequency of oscillations increases. Numerical experiments are presented to show the performance of the proposed rules.
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