搜索结果: 16-30 共查到“偏微分方程”相关记录1918条 . 查询时间(0.656 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：VC-PINN: variable coefficient physics-informed neural network for forward and inverse problems of PDEs with variable coefficient
VC-PINN 变系数 偏微分方程 正逆问题 变系数物理 知情神经网络
2023/11/13
The talk proposes a deep learning method specifically dealing with the forward and inverse problem of variable coefficient partial differential equations-Variable Coefficient Physics-Informed Neural N...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：New revival phenomena for bidirectional dispersive hyperbolic equations
双向离散 双曲型方程 新复活现象
2023/11/13
In this talk, the dispersive revival and fractalization phenomena for bidirectional dispersive equations on a bounded interval subject to periodic boundary conditions and discontinuous initial profile...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Long-time asymptotics of soliton equations via the nonlinear steepest descent method
非线性 最速下降法 孤立子方程 长时间渐近性
2023/11/13
Based on the matrix block technique, the Deift-Zhou nonlinear steepest descent method is developed in order to study the asymptotic analysis of solutions of some nonlinear evolution equations associat...
求解偏微分方程的预处理迭代方法是计算数学近四十年的一个热门研究方向， 这一方法得以成功的关键是有效预条件子的构造。有效预条件子的构造和分析是技巧性很强的工作， 尤其是对于具强间断系数的偏微分方程， 比如对此情形多层网格预条件子和重叠区域分解预条件子的最优收敛性在理论上一直没有彻底弄清楚。在2007年R. Hiptmair和J. Xu对麦克斯韦方程提出了“辅助空间预条件子”， 这种预条件子曾引起国际...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Cerednik--Drinfeld uniformization theorem
Cerednik-Drinfeld 一致化定理 Drinfeld半平面 Shimura曲线
2023/11/13
In this talk we relate the Drinfeld half plane studiedso far in the seminar with certain Shimura curves.which are of more global arithmetic interest. Therelation is expressed in a certain uniformizati...
对称椭圆特征值问题的一个局部化的最优预处理Newton-Schur方法
对称椭圆 特征值问题 局部化 最优预处理 Newton-Schur
2023/12/13
A locally optimal preconditioned Newton-Schur method is proposed for solving symmetric elliptic eigenvalue problems. Firstly, the Steklov-Poincaré operator is used to project the eigenvalue problem on...
非自伴Dirac算子的椭圆有限带位势
非自伴 Dirac算子 椭圆 有限带位势
2023/12/13
We present an explicit two-parameter family of finite-band Jacobi elliptic potentials given by $q\equiv A\dn(x;m)$, where $m\in(0,1)$ and $A$ can be taken to be positive without loss of generality, fo...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixing flow and advection-diffusion-reaction equations
混合流 平流 扩散反应方程
2023/5/18
In the study of incompressible fluid, one fundamental phenomenon that arises in a wide variety of application is dissipation enhancement by so-called mixing flow. In this talk, I will give a brief int...
成都信息工程大学应用数学学院周钰谦教授
成都信息工程大学应用数学学院 周钰谦 教授 偏微分方程 孤立子理论 微分动力系统
2023/12/4
周钰谦，男，教授，1979年1月生，中共党员。2004年毕业于四川师范大学数学与软件科学学院运筹学与控制论专业，获理学硕士学位。2008年毕业于四川大学数学院应用数学专业，获理学博士学位。2011年云南大学博士后流动站出站。现任应用数学学院院长。长期从事偏微分方程、孤立子理论、微分动力系统方向的研究。在不可积系统行波解的分岔以及带有奇线的可积系统行波解的分岔等方面取得了一系列创新性成果。现已在《N...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：No blow-up by nonlinear It? noise for the Euler equations
非线性 爆炸 欧拉方程 噪声
2023/5/17
We consider the incompressible Euler equations in two or three dimensions and we show that the addition of a suitable multiplicative It? noise with superlinear growth prevents a smooth solution from b...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Solitons and Breathers in the modulus KdV equations
模量 KdV方程 孤子 呼吸器
2023/5/12
Compared to the soliton solutions, the breathers, which are constructed in the mKdV or Gardner equation via integrability methods, are less studied. In our numerical study, we show the interactions be...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Numerical PDEs for Fluid-Structure Interaction (FSI) Problems
流固耦合 数值 偏微分方程
2023/5/8
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 fields o...
中国科大实现超越海森堡极限精度的量子精密测量（图）
量子精密测量 非线性 光子
2024/6/16
中国科学技术大学科研部郭光灿院士团队在量子精密测量的研究中取得重要进展。该团队李传锋、陈耕等人与香港大学同行合作，利用量子不确定因果序实现了超越海森堡极限精度的量子精密测量。研究成果于2023年5月1日以“Experimental super-Heisenberg quantum metrology with indefinite gate order”为题发表在国际著名期刊《自然·物理》上。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Machine learning methods for forward and inverse PDEs
正反向 偏微分方程 机器学习
2023/4/27
本报告介绍我们近期的两项工作。(1) 求解PDE的PINN方法在处理时间发展方程时往往遇到难以收敛的困难。我们发展了时间方向的预训练PINN方法及自适应步长方法，解决了收敛性困难，使PDE求解精度能够得到系统性提高。我们在一系列时间发展方程上获得了比文献报道更精确的训练结果。(2) 辐射调源问题是一个典型的反问题，要求调整辐射输运方程的边条件(源)，使解满足特定设计目标。我们针对辐射输运方程的时序...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Conformally variational Riemannian invariants and their related topics
共形变分 黎曼不变量 主题
2023/4/23
It is well known that scalar curvature plays a fundamental role in general relativity. As its analogue, conformally variational Riemannian invariants (CVIs) is a category of fundamental scalar-type cu...