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Inductively approaching subsets by almost finite sets, we refute Scheepers’ conjecture under CH. More precisely, we prove the following.
偏微分方程约束形状优化问题的改进的边界型离散形状梯度（龚伟）
偏微分方程 约束形状优化 边界型 离散形状梯度
2023/2/22
We propose in this paper two kinds of continuity preserving discrete shape gradients of boundary type for PDE-constrained shape optimizations. First, a modified boundary shape gradient formula for sha...
退化双曲面的应变张量及匹配性（姚鹏飞）
退化双曲面 应变张量 匹配性
2023/2/22
We prove the regularity of solutions to the strain tensor equation on degenerated hyperbolic surfaces $S$ where the Gauss curvature is zero on a part of the boundary. Furthermore, we obtain the densit...
基于二阶锥规划的SONC优化和非负性证明（王杰）
二阶锥规划 SONC优化 非负性证明
2023/2/22
The second-order cone (SOC) is a class of simple convex cones and optimizing over them can be done more efficiently than with semidefinite programming. It is interesting both in theory and in practice...
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...
加权与近似加权势博弈及其在博弈控制论中的应用
加权 近似加权势博弈 博弈控制论
2023/1/5
With the tool of semi-tensor product of matrices, an algorithm is proposed to verify whether a finite game is a weighted potential game (WPG) without pre-knowledge on its weights. Then the algorithm i...
加权与近似加权势博弈及其在博弈控制论中的应用（程代展）
加权 近似加权 势博弈 博弈控制论
2023/2/22
With the tool of semi-tensor product of matrices, an algorithm is proposed to verify whether a finite game is a weighted potential game (WPG) without pre-knowledge on its weights. Then the algorithm i...
数值模式的模拟和预测仍然存在较大的不确定性，其中物理参数的不确定性是导致该类不确定性的重要来源之一。由于模式中包含大量的物理参数，减少所有物理参数的不确定性以提高模式的模拟能力和预测技巧将耗费大量的人力和物力。因此，识别敏感的物理参数或参数组合至关重要。
布尔网络的能观性准则
布尔网络 离散数学 能观性准则
2023/1/4
This article investigates observability of Boolean control networks (BCNs) and probabilistic Boolean networks (PBNs). First, weak observability of BCNs is discussed via the nonaugmented approach. The ...
T-2环面上随机不可压缩欧拉方程的一个分裂半隐欧拉方法
T-2环面 随机不可压缩 欧拉方程 分裂半隐欧拉方法
2023/1/4
The main difficulty in studying numerical method for stochastic evolution equations (SEEs) lies in the treatment of the time discretization (J. Printems. [ESAIM Math. Model. Numer. Anal. (2001)]). Alt...
This paper is concerned with the asymptotic stability of a composite wave of two viscous shocks under spatially periodic perturbations for the 1-d full compressible Navier--Stokes equations. It is pro...
影响域近似对非局部模型局部极限的影响
影响域近似 非局部模型 极限
2023/1/4
Many nonlocal models have adopted Euclidean balls as the nonlocal interaction neighborhoods. When solving them numerically, it is sometimes convenient to adopt polygonal approximations of such balls. ...
一种离散线性系统的量化输出反馈模型参考自适应控制方案
离散线性系统 量化输出反馈模型 自适应控制方案
2023/1/4
This paper presents a quantized output feedback model reference adaptive control (MRAC) scheme for a class of single-input and single-output discrete-time linear time-invariant systems with unknown pa...
针对随机材料的多模态蒙特卡洛均匀化方法
随机材料 多模态 蒙特卡洛方法 均匀化
2023/1/5
In this paper, we propose and analyze a new stochastic homogenization method for diffusion equations with random and fast oscillatory coefficients. In the proposed method, the homogenized solutions ar...
带有少量非分裂纤维的纤维簇的有理点
非分裂纤维 纤维簇 有理点
2023/1/5
We revisit the abstract framework underlying the fibration method for producing rational points on the total space of fibrations over the projective line. By fine-tuning its dependence on external ari...