搜索结果: 1-15 共查到“知识库 数学分析”相关记录525条 . 查询时间(1.937 秒)
The finite-time stabilization problem is considered for a class of multi-input multi-output nonlinear systems composed of several different subsystems that are coupled with unknown nonlinearities, pos...
In this paper, we prove that the \(L^p(\mathbb {R}^d)\) norm of the maximal truncated Riesz transform in terms of the \(L^p(\mathbb {R}^d)\) norm of Riesz transform is dimension-free for any \(2\le p<...
形状梯度流系统演化有限元方法的收敛性分析
形状梯度流 系统演化 有限元方法 收敛性分析
2023/12/13
As a specific type of shape gradient descent algorithm, shape gradient flow is widely used for shape optimization problems constrained by partial differential equations. In this approach, the constrai...
斜多项式稀疏矩阵乘法
斜多项式 稀疏矩阵 乘法
2023/12/13
Based on the observation that \mathbb{Q}^{(p-1) \times (p-1)} is isomorphic to a quotient skew polynomial ring, we propose a new deterministic algorithm for (p-1)\times(p-1) matrix multiplication over...
Let T=(V,A) be a tournament with a nonnegative integral weight w(e) on each arc e. A subset F of arcs is called a feedback arc set (FAS) if T\F contains no cycles (directed). A collection F of FASs (w...
非精确两层网格法的新型收敛性分析方法（张晨松）
非精确 两层网格法 收敛性 分析方法
2023/2/22
Two-grid methods with exact solution of the Galerkin coarse-grid system have been well studied by the multigrid community: an elegant identity has been established to characterize the convergence fact...
Sobolev不等式关于梯度的最优稳定性（张翼）
Sobolev不等式 梯度 最优稳定性
2023/2/22
We prove a sharp quantitative version of the p-Sobolev inequality for any 1
增广拉格朗日方法可以近似求解最小约束违背凸优化问题
拉格朗日方法 近似求解 最小约束 违背凸优化问题
2023/1/5
There are many important practical optimization problems whose feasible regions are not known to be nonempty or not, and optimizers of the objective function with the least constraint violation prefer...
本文研究了二维多边形区域上的Stokes方程Dirichlet边界控制问题。其中目标泛函中的控制变量正则化项包含两类情形：基于L^2范数的正则化和能量空间范数正则化。我们证明了优化问题的适定性，给出了一阶最优性条件，得到了解的正则性结果，提出了求解两类问题的有限元离散格式，并对能量空间方法证明了有限元误差估计。考虑Stokes方程Dirichlet边界控制问题能量空间正则化方法的出发点来源于我们的...
非精确两层网格法的收敛性分析——一种理论框架
非精确 两层网格法 收敛性分析 理论框架
2023/1/5
Multigrid is one of the most efficient methods for solving large-scale linear systems that arise from discretized partial differential equations. As a foundation for multigrid analysis, two-grid theor...
关于Navier-Stokes方程带Navier边界条件的光滑控制以及对Lagrangian控制的应用
Navier-Stokes方程 Navier边界条件 光滑控制 Lagrangian控制
2023/1/5
We deal with the 3D Navier–Stokes equation in a smooth simply connected bounded domain, with controls on a non-empty open part of the boundary and a Navier slip-with-friction boundary condition on the...
幂级数， 随处可见，在复分析、组合理论、代数几何等领域扮演着重要角色。在复分析中，多变元幂级数收敛域的几何结构开启了多复变研究的序幕。在组合理论中，序列的生成函数就是幂级数，其算术与代数性质可以揭示序列的内在结构。在代数几何中，幂级数被用于理解代数簇在奇点处的几何结构。 幂级数的算术理论始于Fatou，Eisenstein，Polya，Szego等人的工作，其中最著名的定理是Szego定理与Pol...
In this paper, the authors prove the global existence and the large time decay estimate of solutions to Prandtl system with small initial data, which is analytical in the tangential variable. The key ...
α阶右侧Caputo分数阶导数的高阶插值逼近
Caputo分数阶导数 L2-1插值 L2插值 收敛阶
2022/3/11
对α阶(1＜α＜2)右侧Caputo分数阶导数引入新变量以降低函数阶数，采用L2-1插值方法，得到了高阶插值格式。为了进一步改善L2-1方法在区间[tN-1，b]上由L1插值带来的非一致O(Δt4-α)阶精度，增加约束条件，使整体区间均利用L2插值得到一致的O(Δt4-α)精度的高阶插值格式，并分别证明了二者的截断误差。