搜索结果: 1-15 共查到“椭圆型偏微分方程”相关记录171条 . 查询时间(2.14 秒)
中国科学院数学与系统科学研究院谢和虎课题组提出张量神经网络、成功用于高维偏微分方程高精度求解（图）
谢和虎 神经网络 高维偏微分方程
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2024/8/21
由于“维数灾难”的原因，求解高维偏微分方程一直是数学、物理、化学等学科中具有本质困难的问题。基于深度神经网络的机器学习方法为解决这一问题提供了潜在的可能性，目前已经设计了多种机器学习方法来求解高维偏微分方程。这些方法由于需要进行采样或使用Monte-Carlo方法进行高维积分来计算损失函数，往往导致求解精度远低于经典算法求解低维偏微分方程的精度，实际应用范围也受到了很大的限制。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars："Inverse problems for elliptic PDE" (7)
椭圆偏微分方程 反问题 Calderón问题
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2023/11/29
This course will give an introduction to inverse problems for elliptic partial differential equations. The most famous example of such problems is the Calderón problem, which arises in seismic and med...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars："Inverse problems for elliptic PDE" (8)
椭圆偏微分方程 反问题 Calderón问题
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2023/11/29
This course will give an introduction to inverse problems for elliptic partial differential equations. The most famous example of such problems is the Calderón problem, which arises in seismic and med...
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
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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
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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：Structured Matrices Approach for Legendre Pairs
勒让德对 结构化 矩阵方法
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2023/4/17
Legendre Pairs are combinatorial objects with a rich 20+ years history. Their main application is that they furnish a structured form of the Hadamard conjecture and they have been studied by several a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some recent progress on the gradient estimates for the insulated conductivity problem
绝缘 电导率 梯度估计 椭圆偏微分方程
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2023/4/17
In this talk, I will describe an elliptic PDE that models electric conduction, and the electric field concentration phenomenon between closely spaced inclusions of high contrast. In the first part, I ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Pseudorandomness of Sato-Tate Distributions for Elliptic Curves
椭圆曲线 佐藤-泰特分布 伪随机性
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2023/4/13
Equidistribution is an important theme in number theory. The Sato-Tate conjecture, which was established by Richard Taylor et.al. in 2008, asserts that given an elliptic curve over Q without complex m...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：椭圆型偏微分方程有关的正则性问题 椭圆型偏微分方程有关的正则性问题
椭圆型偏微分方程 正则性问题 Calderon-Zygmund估计 Schauder估计
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2023/4/18
简介椭圆型方程正则性的基本结果，综述弱正则数据下其方程解的Calderon-Zygmund估计和Schauder估计的基本方法和近期进展，分析非线性椭圆方程组的部分正则性和处处正则问题，介绍我们在有关问题上的一些研究。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：椭圆型偏微分方程有关的正则性问题
椭圆型 偏微分方程 正则性问题
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2023/4/13
简介椭圆型方程正则性的基本结果，综述弱正则数据下其方程解的Calderon-Zygmund估计和Schauder估计的基本方法和近期进展，分析非线性椭圆方程组的部分正则性和处处正则问题，介绍我们在有关问题上的一些研究。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A Liouville’s theorem for some Monge-Ampère type equations
蒙日-安培型方程 刘维尔定理 单调准局部质量类型量
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2023/4/13
We study a Monge-Ampère type equation which interpolates the sigma_2-Yamabe equation in conformal geometry and the 2-Hessian equation. In dimension 4, we prove a corresponding Liouville’s theorem. Our...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Twisted Real quasi-elliptic cohomology
扭曲 实拟椭圆 上同调
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2023/4/13
Quasi-elliptic cohomology is closely related to Tate K-theory. It is constructed as an object both reflecting the geometric nature of elliptic curves and more practicable to study than most elliptic c...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Two Approaches towards elliptic cohomology
椭圆 上同调 两种方法
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2023/4/14
An elliptic cohomology theory is an even periodic multiplicative generalized cohomology theory whose associated formal group is the formal completion of an elliptic curve. It is at the intersection of...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A posteriori error estimate for a WG method of H(curl)-elliptic problems
H（卷曲） 椭圆问题 WG方法 后验误差估计
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2023/4/23
In this paper, a posteriori error estimate of a weak Galerkin (WG) finite element method for solving H(curl)-elliptic problems is designed and analyzed. Firstly, a WG method for H(curl)-elliptic probl...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Non-local operators with low-order singular kernels
低阶 奇异内核 非局部 运算符 正则性估计 二阶椭圆方程
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2023/4/24
The regularity estimates have well-established for second-order elliptic and parabolic equations, as well as for equations with stable-like non-local operators. Whether similar results hold for non-lo...