搜索结果: 1-15 共查到“积分方程”相关记录17条 . 查询时间(2.093 秒)
声波层状介质问题的PML积分方程方法
声波 层状介质 PML积分方程
2023/12/13
Based on the perfectly matched layer (PML) technique, this paper develops a highly accurate boundary integral equation (BIE) solver for acoustic scattering problems in locally defected layered media i...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Algebraic Structures from Integral Equations
积分方程 代数结构 代数分析
2023/11/29
Even though the research style of algebra and analysis are quite different, many algebraic structures naturally arose from analysis, differential equations and integral equations, inspiring further ap...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Higher-order Hamiltonian generalization evolution equations
高阶 哈密顿 广义演化方程
2023/11/13
In this talk, I will review several classes of higher-order generalizations of the integrable Camassa-Holm equation in the Hamiltonian forms. Then, I talk about some new results for one generalized Ca...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The C0 estimate of the cscK equation
cscK方程 C0估计 ABP最大值原理
2023/11/13
We report the work of Chen-Cheng on the existence of cscK metrics. In this talk I will mainly focus on the C0 estimate, which is derived using the ABP maximum principle.
时域波动方程问题的多重散射积分方程算法
时域波动方程 多重散射 积分方程算法
2023/12/13
This paper proposes a frequency-time hybrid solver for the time-dependent wave equation in two-dimensional interior spatial domains. The approach relies on four main elements, namely, (1) A multiple s...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Integral equations with bubble-type kernel via the method of moving spheres
运动球体 气泡型核 积分方程
2023/4/27
In this talk, I will describe a moving sphere approach to a class of integral equations with bubble-type kernel. This class of equations comes from higher-order elliptic equations on the standard sphe...
This work proposes an accurate hyper-singular boundary integral equation method for dynamic poroelastic problems with Neumann boundary condition in three dimensions and both the direct and indirect me...
三维多孔弹性波问题的正则化超奇异积分方程方法（殷涛）
三维多孔 弹性波问题 正则化 超奇异积分方程
2023/2/22
This work proposes an accurate hyper-singular boundary integral equation method for dynamic poroelastic problems with Neumann boundary condition in three dimensions and both the direct and indirect me...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A second order accurate, decoupled numerical scheme for magnetohydrodynamic equations
磁流体 动力学方程 二阶精确解 耦数值方案
2023/4/27
A temporally second-order accurate, fully discrete finite element method is proposed and analyzed for the magnetohydrodynamic (MHD) equations. A modified Crank-Nicolson method is used to discretize th...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：可积深度学习
可积 深度学习 非线性科学 关系-可积系统
2023/5/5
介绍非线性科学与计算机发展关系-可积系统，探讨我们提出的可积深度学习的理论架构和发展方向。介绍我们有关可积深度学习的研究工作：基于PINN算法并对其改进，研究可积方程中的多孤子，高阶呼吸子，高阶怪波，周期背景下的高阶怪波，向量多孤子，孤子分子及其动力学行为；提出了基于守恒律的两阶段PINN算法，高维可积系统PINN算法、非局域可积系统PINN算法。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：带有内部跳跃条件的ODE特征值问题和logistic扩散方程
内部跳跃条件 ODE特征值问题 logistic扩散方程
2023/5/16
在本报告中, 我们首先介绍一个带有内部跳跃条件的二阶常微分方程特征值问题, 并将说明该特征值问题等价于一个带有 Dirac 势测度的测度微分方程特征值问题. 进而我们考虑更一般的带有 Dirac 势测度的测度微分方程特征值问题, 并且给出主特征值的存在性定理. 其次, 我们介绍带有内部跳跃条件的 logistic 扩散方程, 并且给出解的存在性定理. 此外, 我们还将讨论这些问题的生物学意义。
The Cauchy problem for the barotropic compressible Navier--Stokes equations on the whole two-dimensional space with vacuum as far field density is considered. When the shear viscosity is a positive co...
具有Pfaffian结构的Hermite-Pade逼近以及相关的Novikov尖峰孤子系统和可积格子方程
Pfaffian结构 Hermite-Pade逼近 Novikov尖峰孤子系统 可积格子方程
2023/1/5
Motivated by the Novikov equation and its peakon problem, we propose a new mixed type Hermite–Padé approximation whose unique solution is a sequence of polynomials constructed with the help of Pfaffia...
The Cauchy problem for the barotropic compressible Navier--Stokes equations on the whole two-dimensional space with vacuum as far field density is considered. When the shear viscosity is a positive co...
Maxwell特征值问题的两水平预处理Helmholtz-Jacobi-Davidson方法
Maxwell特征值 水平预处理 Helmholtz-Jacobi-Davidson方法
2023/1/5
In this paper, based on a domain decomposition (DD) method, we shall propose an efficient two-level preconditioned Helmholtz-Jacobi-Davidson (PHJD) method for solving the algebraic eigenvalue problem ...