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求解半导体器件三维漂移扩散模型的一组平均化有限元方法
半导体器件 三维漂移扩散模型 平均化 有限元方法
2023/1/5
Obtaining a satisfactory numerical solution of the classical three-dimensional drift-diffusion (DD) model, widely used in semiconductor device simulations, is still challenging nowadays, especially wh...
反源问题正则解及其有限元逼近的随机收敛性
反源问题 正则解 有限元逼近 随机收敛性
2023/1/5
In this work, we investigate the regularized solutions and their finite element solutions to the inverse source problems governed by partial differential equations, and we establish the stochastic con...
3维O(N)线性sigma模型的大N极限
3维O(N) 线性sigma模型 大N极限
2023/1/5
In this paper we study the large N limit of the O(N)-invariant linear sigma model, which is a vector-valued generalization of the Φ4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasys...
标准化场流：求解随机微分方程正反问题的物理机制场流模型方法
标准化场流 随机微分方程 物理机制场 流模型方法
2023/1/5
We introduce in this work the normalizing field flows (NFF) for learning random fields from scattered measurements. More precisely, we construct a bijective transformation (a normalizing flow characte...
GL2的岩泽主猜想和p进L函数的导数
GL2 岩泽主猜想 p进L函数 导数
2023/1/5
We prove under mild hypotheses the three-variable Iwasawa main conjecture for $p$-ordinary modular forms in the indefinite setting. Our result is in a setting complementary to that in the work of Skin...
庞加莱偶的概念
庞加莱 偶 概念 中国科学院数学与系统科学研究院
2023/1/5
We establish a number of foundational results on Poincaré spaces which result in several applications. One application settles an old conjecture of C.T.C. Wall in the affirmative. Another result shows...
离散线性系统的量化输出反馈模型参考控制
离散线性系统 量化输出 反馈模型 参考控制
2023/1/5
This paper proposes a model reference control (MRC) scheme for general discrete-time linear time-invariant (LTI) systems subject to output quantization and saturation. In such a scheme, the quantized-...
This paper is concerned with the numerical solution of the Maxwell–Schrodinger system under the temporal gauge, which describes light–matter interactions. We first propose a semidiscrete finite elemen...
辨识切换线性系统的持续激励条件
辨识 线性系统 持续激励条件
2023/1/5
This paper investigates the uniqueness of parameters via persistence of excitation for switched linear systems. The main contribution is a much weaker sufficient condition on the regressors to be pers...
最优与两步自适应量子探测器层析
最优 自适应 量子探测器 层析
2023/1/5
Quantum detector tomography is a fundamental technique for calibrating quantum devices and performing quantum engineering tasks. In this paper, we design optimal probe states for detector estimation b...
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...
二维不可压缩欧拉方程多尺度定常涡补丁解
二维不可压缩 欧拉方程 多尺度 定常涡补丁解
2023/1/5
In this paper, we study the existence and qualitative properties of multiscale steady vortex patches for Euler equations in a 2D bounded domain. By considering certain maximization problems for the vo...
三次型、反常消解及模性
三次型 反常消解 模性
2023/1/5
Motivated by the cubic forms and anomaly cancellation formulas of Witten-Freed-Hopkins, we give some new cubic forms on spin, spin^c, spin^{w_2} and orientable 12-manifolds respectively. We relate the...
近日，北京理工大学物理学院姚裕贵教授、周迪研究员团队，在《Nature Communications》发表题为 “Topological invariant and anomalous edge modes of strongly nonlinear systems” 的文章。团队通过数学推导，研究了广义强非线性系统，在非线性波中提出贝里相位的合理定义，并严格证明其量子化条件。作者通过理论计算和数...
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...