搜索结果: 1-15 共查到“泛函分析”相关记录21条 . 查询时间(0.554 秒)
近日，中国人民大学高瓴人工智能学院师生共有一篇论文被IEEE TIT录用，IEEE Transactions on Information Theory（IEEE TIT）期刊是中国计算机学会（CCF）推荐的A类期刊，是国际公认的理论计算机科学与信息论领域的顶级期刊，被很多人认为是工程学理论方向的天花板，享有卓越的学术声誉。这是人大高瓴人工智能学院师生首次在该期刊发表论文。
In this paper, we investigate the energy minimization model arising in the ensemble Kohn–Sham density functional theory for metallic systems, in which a pseudo-eigenvalue matrix and a general smearing...
In this paper, we investigate the new two-Lévy-index fractional nonlinear Schr？dinger (FNLS) equations with optical lattices, where two fractional derivative terms are introduced to control the diffra...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Functions of bounded variation and nonlocal functionals
有界 变差函数 非局部泛函
2023/11/29
In the past two decades, starting with the pioneering work of Bourgain, Brezis, and Mironescu, there has been widespread interest in characterizing Sobolev and BV (bounded variation) functions by mean...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Introduction to Bourguignon-Gauduchon's variation formula for Dirac operators
Dirac算子 Bourguignon-Gauduchon 变分公式
2023/11/13
我们将介绍由Bar-Gauduchon-Moroianu给出的spin流形上Dirac算子在度量变化时一阶变分公式的证明。作为应用，我们将计算Dirac算子沿Ricci flow的一阶变分。
近日，中国科学院近代物理研究所核物理中心和德国慕尼黑工业大学合作，在协变密度泛函理论研究方面取得进展。研究团队提出了一组新优化的非线性点耦合相互作用（PC-L3R），可模拟核子与核子间的有效相互作用，用来定量分析原子核的粗块性质（bulk properties）。相关研究成果发表在《物理快报B》（Physics Letters B）上。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Filtrations and endomorphisms
过滤 自同态 Banach--Colmez spaces
2023/4/23
This is a periodic series learning seminar organized by Koji Shimizu and Shizhang Li on Banach--Colmez spaces held on each Monday at MCM110. More info can be found on the website.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Applications of sublinear expanders
次线性 膨胀机 亚线性膨胀器
2023/4/23
We will introduce the sublinear expander and cover some applications of sublinear expander. Given a graph H, a balanced subdivision of H is a graph obtained from H by subdividing every edge the same n...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Exponential decay of intersection volume and applications
交叉体积 指数衰减 公制空间
2023/4/23
When two balls in a metric space have small intersection? We give some natural conditions to guarantee an exponential decay on the volume of such intersections. Our proof is conceptually simple, makin...
Based on the numerical method proposed in Hu et al. (2018) [22] for Kohn-Sham equation, further improvement on the efficiency is obtained in this paper by i). designing a numerical method with the str...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Functional-Input Gaussian Processes
泛函 输入 高斯过程
2023/4/25
Surrogate modeling based on Gaussian processes (GPs) has received increasing attention in the analysis of complex problems in science and engineering. Despite extensive studies on GP modeling, the dev...
密度泛函理论全电子计算的免正交化可并行算法框架
密度泛函理论 全电子计算 免正交化 可并行算法框架
2023/1/5
All-electron calculations play an important role in density functional theory, in which improving computational efficiency is one of the most needed and challenging tasks. In the model formulations, b...
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...
密度泛函理论全电子计算的免正交化可并行算法框架（刘歆、高斌）
密度泛函理论 全电子计算 免正交化 可并行算法框架
2023/2/22
All-electron calculations play an important role in density functional theory, in which improving computational efficiency is one of the most needed and challenging tasks. In the model formulations, b...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：ENERGY, POINTWISE, AND FREE BOUNDARY APPROXIMATION OF THE OBSTACLE PROBLEM FOR NONLOCAL OPERATORS
非局部 算子障碍物 自由边界 近似
2023/4/28
We consider the obstacle problem for a nonlocal elliptic operator, like the integral fractional Laplacian of order $s \in (0,1)$. We derive regularity results in weighted Sobolev spaces, where the wei...