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运筹学与控制论讨论班辛拓扑与物理讨论班几何分析讨论班动力系统讨论班分析和微分方程讨论班计算与应用讨论班表示论与数论讨论班概率统计讨论班其他

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17

2025-03

计算与应用讨论班——Reduced over collocation based on residual hyper reduction for steady state and time-dependent nonlinear equations

报告人：纪丽洁，上海大学时间：2025年3月31日，10:30-12:00地点：海纳苑2幢203室摘要：The need for multiple interactive, real-time simulations using different parameter values has driven the design of fast numerical algorithms with certifiable accuracies. The reduced basis method (RBM) presents itself as such an option. RBM features a mathematically rigorous error estimator which drives the constructi...

04

2025-03

计算与应用讨论班—— 弹性力学问题混合有限元方法及其北达飞易软件

04

2025-03

计算与应用讨论班——Evolution of Discriminator and Generator Gradients in GAN Training: From Fitting to Collapse

报告人：高卫国（复旦大学）时间：2025年3月14日，14:45-15:45地点：海纳苑2幢210摘要：Generative Adversarial Networks (GANs) are powerful generative models but often suffer from mode mixture and mode collapse. We propose a perspective that views GAN training as a two-phase progression from fitting to collapse, where mode mixture and mode collapse are treated as inter-connected. Inspired by the pa...

03

2025-03

计算与应用讨论班——A Model Reduction Method Based on Variable Separation

报告人：李秋齐（湖南大学）时间：2025年3月7日14:00-16:00地点：海纳苑2幢205室摘要：This report presents a novel Variable-Separation (VS) method for model reduction, which simplifies complex systems by effectively decoupling variables and reducing dimensionality. The method is extended to stochastic partial differential equations (SPDEs) through the use of tensor product structures, offerin...

18

2025-02

应用与计算数学讨论班——Quantum for Science: Efficient Quantum Algorithms for Linear and Nonlinear Dynamics

报告人：刘锦鹏（清华大学）时间：2025年2月21日14：00-16：00地点：海纳苑2幢203室摘要：Fault-tolerant quantum computers are expected to excel in simulating unitary dynamics, such as the dynamics of a quantum state under a Hamiltonian. Most applications in scientific and engineering computations involve non-unitary and/or nonlinear dynamics. Therefore, efficient quantum algorithms are the key for unlo...

10

2025-01

计算与应用讨论班——Conditions for Constructing $C^r$ Conforming Finite Element Space in Any Dimension

报告人：林挺（北京大学）时间：2025年1月14日（星期二），下午2:00-4:00地点：海纳苑2幢205摘要：In finite element methods, $C^r$ conforming finite elements can be used to solve high-order elliptic equations. When constructing $C^r$ conforming finite elements on general triangulations, extra smoothness is imposed on lower - dimensional faces such as vertices and edges. For example, wh...

10

2025-01

计算与应用讨论班——Topology-Preserving Computation for Ideal Magnetic Relaxation

报告人：胡凯博研究员（爱丁堡大学）时间：2025年1月15日（星期三），下午2:00-4:00地点：海纳苑2幢205摘要：A fundamental problem in plasma physics is understanding the evolution of magnetic fields with given initial data. Questions include whether a stationary state exists and, if so, what properties it possesses. The Parker hypothesis states that for ‘almost any initial data’, the...

16

2024-10

计算与应用讨论班——Quasi-entropy

报告人：徐劼（中国科学院计算数学与科学工程计算研究所）时间：2024年10月28日16:00-18:00地点：海纳苑2幢106摘要：Liquid crystals are featured by local anisotropy usually described by angular moment tensors. The free energy of tensors needs a stabilizing entropy term. When non-axisymmetric molecules are involved, two classical approaches to write down an entropy term, quartic polynomial and maximum entr...

04

2024-10

计算与应用讨论班——Towards an AI Mathematician

报告人：Kaiyu Yang（Meta Fundamental AI Research (FAIR) team）时间：2024年10月4日上午10:00地点：https://meeting.tencent.com/dm/cC3EArPcmTBL #腾讯会议：371-435-370摘要：Mathematics is a hallmark of human intelligence and a long-standing goal of AI. It involves analyzing complex information, identifying patterns, forming conjectures, and performing logical deduction. Many of these capab...

09

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...

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