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2024-07

代数与表示论讨论班——A Summer Series of Talks on Cluster Algebras and Related Topics

2024-07

代数与表示论讨论班——A Summer Series of Talks in Algebraic Representation Theory

2024-07

动力系统与分形几何讨论班——Harmonic Analysis of Mandelbrot Cascades

报告人：邱彦奇（国科大杭州高等研究院）时间：2024年7月2日 10:00-11:00地点：海纳苑2幢106室摘要：We will talk about the asymptotic decay of the Fourier coefficients of the Mandelbrot canonical cascade measure and more general cascade measures. Our method is to put the analysis of these Fourier series into the framework of vector-valued martingales, as well as to apply celebrated asymptotics of small ...

2024-07

计算与应用讨论班——Fast integral equation methods and the DMK framework

报告人：蒋世东，Flatiron Insitute时间：2024年7月2日10:00-11:00 地点：浙江大学紫金港校区基础交叉研究院（筹）101会议室摘要：In this talk, we will first present an overview of fast integral equation methods (FIEMs). Fast algorithms, such as the fast multipole methods and their descendants, have made profound impacts on many areas of scientific computing. Boundary integral ...

2024-06

计算与应用讨论班——Highly efficient and accurate algorithms for constrained PDEs

报告人：程青（同济大学）时间：7月1日，14:00-16:00地点：海纳苑2幢206摘要：In the talk, I will introduce a new approach to construct efficient and accurate structure-preserving schemes for a class of constrained PDEs. To be more specific, I will introduce how to construct positivity/bound-preserving, length-preserving, energy-dissipative schemes for a large class of PDEs. I will establish stability ...

2024-06

动力系统讨论班——Positivity of the Lyapunov exponent for potentials generated by Hyperbolic Transformations

报告人：张正鹤(University of California, Riverside)时间：2024年6月24日（周一），上午10:00-11:00地点：海纳苑2幢202Abstract: I will introduce a recent work in showing positivity of the Lyapunov exponent for Schrodinger operators with potentials generated by hyperbolic dynamics. Specifically, we showed that if the base dynamics is a subshift of finite type with an ergodic measure adm...

2024-06

计算与应用讨论班——Delay-dependent elliptic reconstruction and optimal $L^\infty(L^2)$ a posteriori error estimates for fully discrete delay parabolic problems

报告人：王晚生（上海师范大学）时间：2024年6月14日15:00-17:00地点：海纳苑2幢202摘要：We derive optimal order a posteriori error estimates for fully discrete approximations of linear parabolic delay differential equations (PDDEs), in the L∞(L2)-norm. For the discretization in time we use Backward Euler and Crank-Nicolson methods, while for the space discretization we use standard conforming finite ...

2024-06

概率统计讨论班——Analyze Time-to-event Data Using Survival Mixed Membership Blockmodel 生存混合成员模型分析社交网络中事件发生时间

报告人：宋方达（助理教授，香港中文大学（深圳）数据科学学院）时间：6月11日下午4：00-5：00地点：海纳苑2幢102摘要：Whenever we send a message via a channel such as E-mail, Facebook, WhatsApp, WeChat, or LinkedIn, we care about the response rate—the probability that our message will receive a response—and the response time—how long it will take to receive a reply. Recent studies have made considerable...

2024-06

计算与应用讨论班——Solving long-time nonlinear Schrodinger equation by a class of oscillation-relaxation integrators

报告人：王斌（西安交通大学）时间：2024年6月20日14:00地点：海纳苑2幢205摘要：In this talk, we are concerned with numerical integrators for the long time nonlinear Schrodinger equation. We propose a novel class of oscillation-relaxation integrators and study its convergence and energy conservation. The proposed integrators are shown to have improved uniform accuracy and nice near energy conservation...

2024-06

计算与应用讨论班——Advanced Numerical Methodologies for Fluid-Structure Interaction (FSI) Problems

报告人：Pengtao Sun（University of Nevada）时间：2024年6月14日10:00地点：海纳苑2幢101摘要：In this talk, I will present my resent research work on fluid-structure interaction (FSI) problems. The interaction of a flexible structure with a flowing fluid in which it is submersed or by which it is surrounded gives rise to a rich variety of physical phenomena with applications in many fi...

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