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2024-08

分析和微分方程讨论班——Stability of shear flows in viscous fluids

报告人：赵威任（纽约大学阿布扎比分校）时间：8月16日，10:00-11:00地点：海纳苑2幢205摘要：In this presentation, I will discuss the latest advancements in understanding the asymptotic stability and instability of shear flow in viscous fluids. The primary mechanisms contributing to the system's stability are inviscid damping and enhanced dissipation. I will also explore the mathematical frameworks...

2024-08

计算与应用讨论班——A Reduced Order Model Enhanced Iterative Solver for Parametric Radiative Transfer Equation

报告人：彭志超（香港科技大学）时间：8月14日，13:00 - 15:00地点：海纳苑2幢203摘要：Radiative transfer equation (RTE) models particles propagating through and interacting with a background medium. Applications, such as uncertainty quantification, medical imaging, and shape optimization, require solving RTE many times for various parameters. Source Iteration (SI) with Diffusion Synthetic Acceleration...

2024-07

New perspective on categorical Torelli problems for del Pezzo threefold

报告人：张诗卓研究员中科院数学所晨兴数学中心时间： 2024年7月31日下午13:00-17:00地点：海纳苑2幢102 报告人简介：张诗卓于2019年毕业于印第安纳大学，后于爱丁堡大学，德国波恩马普所，法国图卢兹数学所，德国Hausdorff 数学研究所，美国加州大学伯克利分校MSRI数学研究所做博后，目前在中科院数学所晨兴数学中心访问。张诗卓博士的研究方向是代数簇的凝聚层导出范畴，Bridgeland...

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 ...

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