Higher-order time integration with a local Lax–Wendroff procedure for a central scheme on an overlapping grid

We have implemented a high-order Lax–Wendroff type time integration for a central scheme on an overlapping grid for conservation law problems. Using a local iterative approach presented by Dumbser et al. (JCP, 2008) [12], we extend a local high-order spatial reconstruction on each cell to a local higher-order space–time polynomial on the cell. We rewrite the central scheme in a fully discrete form to avoid volume integration in the space–time domain. The fluxes at cell interfaces are calculated directly via integrating a higher-order space–time reconstruction of the flux. We compare this approach with the corresponding multi-stage Runge–Kutta time integration (RK). Numerical results show that the new time integration is more cost-effective.     

现代远程教育条件下的核心课程体系构建与整合研究

以培养学生的职业技能为核心,提出了构建远程教育核心课程体系的指导原则、基本思路和流程,以远程教育网络技术专业(网页设计方向)为例对远程核心课程体系进行构建与整合.     

Some extensions of the operator entropy type inequalities

In this paper, we define the generalised relative operator entropy and investigate some of its properties such as subadditivity and homogeneity. As application of our result, we obtain the information inequality. In continuation, we establish some reverses of the operator entropy inequalities under certain conditions by using the Mond–Pe?ari? method.     

Generating Excess Protons in Microsolvated Acid Clusters under Ambient Conditions: An Issue of Configurational Entropy versus Internal Energy

Acid dissociation, and thus liberation of excess protons in small water droplets, impacts on diverse fields such as interstellar, atmospheric or environmental chemistry. At cryogenic temperatures below 1 K, it is now well established that as few as four water molecules suffice to dissociate the generic strong acid HCl, yet temperature-driven recombination sets in simply upon heating that cluster. Here, the fundamental question is posed of how many more water molecules are required to stabilize a hydrated excess proton at room temperature. Ab initio path integral simulations disclose that not five, but six water molecules are needed at 300 K to allow for HCl dissociation independently from nuclear quantum effects. In order to provide the molecular underpinnings of these observations, the classical and quantum free energy profiles were decomposed along the dissociation coordinate in terms of the corresponding internal energy and entropy profiles. What decides in the end about acid dissociation, and thus ion pair formation, in a specific microsolvated water cluster at room temperature is found to be a fierce competition between classical configurational entropy and internal energy, where the former stabilizes the undissociated state whereas the latter favors dissociation. It is expected that these are generic findings with broad implications on acid–base chemistry depending on temperature in small water assemblies.     

高等职业教育产教融合政策工具 分类及优化路径--基于2010—2019年国家政策文本的量化分析

产教融合是现代职业教育体系构建的重要内容,政府应采取有效的政策工具加以推进。基于政策工具分类视角,将我国国家层面颁布的高等职业教育产教融合政策划分为供给面、需求面和环境面3类政策工具。通过对2010—2019年69份313条政策文本的量化分析,可视化展示3类政策工具占比情况。结果显示:供给面政策工具占据主导地位,需求面政策工具功能彰显,环境面政策工具作用稳定,但也存在供给面政策工具投入长、压力大,需求面政策工具引导多、示范少,环境面政策工具执行力不足、落地难等问题。“十四五”时期,需要以精准改革为核心完善供给面政策工具,借助其示范性引领作用促进产教双方深度融合,打破组织性壁垒,加大环境面政策执行力度。     

从智慧城市到智慧区域——新的城市与区域发展模式

 信息技术的快速发展不仅推动了中微观层面上智慧城市的发展建设，在宏观概念上更是未来区域协调高效合作的核心驱动力。中国的智慧城市建设已经体现出由点到面、连片发展的态势，智慧区域建设是必然趋势。对国外智慧区域分析表明智慧区域建设的经验是：重视信息通信技术、注重创新、高效合作、人才培养等。建议国内智慧区域建设重视区域的范围多维化、合作效率高效化、教育与创新积极化、市民参与的多元化等。     

The differentiation operator in the space of uniformly convergent Dirichlet series

Continuity, compactness, the spectrum and ergodic properties of the differentiation operator are investigated, when it acts in the Fréchet space of all Dirichlet series that are uniformly convergent in all half-planes for each . The properties of the formal inverse of the differentiation are also investigated.     

论专门用途英语与体育英语教学的融合——以福建体育职业技术学院为例

专门用途英语（ESP）教学理念对体育英语教学有现实指导意义,二者之间存在逻辑关联。以福建体育职业技术学院调查为例,指出我国高职院校体育英语教学现状不容乐观。针对问题,从教学目标、教学素材、教学关系、教学平台以及教学评价等维度,提出强化专门用途英语与体育英语教学融合的若干建议。