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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...

02

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 ...

30

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 ...

14

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 ...

07

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...

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