Strong convergence rates of probabilistic integrators for ordinary differential equations

Probabilistic integration of a continuous dynamical system is a way of systematically introducing discretisation error, at scales no larger than errors introduced by standard numerical discretisation, in order to enable thorough exploration of possible responses of the system to inputs. It is thus a potentially useful approach in a number of applications such as forward uncertainty quantification, inverse problems, and data assimilation. We extend the convergence analysis of probabilistic integrators for deterministic ordinary differential equations, as proposed by Conrad et al. (Stat Comput 27(4):1065–1082, 2017. https://doi.org/10.1007/s11222-016-9671-0), to establish mean-square convergence in the uniform norm on discrete- or continuous-time solutions under relaxed regularity assumptions on the driving vector fields and their induced flows. Specifically, we show that randomised high-order integrators for globally Lipschitz flows and randomised Euler integrators for dissipative vector fields with polynomially bounded local Lipschitz constants all have the same mean-square convergence rate as their deterministic counterparts, provided that the variance of the integration noise is not of higher order than the corresponding deterministic integrator. These and similar results are proven for probabilistic integrators where the random perturbations may be state-dependent, non-Gaussian, or non-centred random variables.

     

国家铁路货物整车运输比价关系探讨

铁路整车货运运价率结构对于货运整体收入及市场竞争力具有重要影响。通过对国家铁路货运总体运营价格水平与整车运价率、整车运价率基价1与基价2之间比价关系的分析发现,整车货运比价关系存在的主要问题体现在运价号设置的结构性、对运输成本的抵补、价率水平的均衡性以及与货物品类的对应关系等方面。因此,提出在"一口价"模式下充分考虑运输市场竞争因素、适当调整各运价号基价1与基价2增幅及比值关系、增设新运价号以及与运价浮动管理相结合充分利用3号运价等调整建议。     

建立专科运营助理制度推动科室精细化运营管理

精细化、科学化管理是现代医院运营管理的方向,通过组建专业的医院运营管理团队,明确专科运营助理岗位的工作内容,分析各科室经营情况,评估各项资源配置,参与科室绩效、流程和项目管理的研究 ,科室医疗服务能力不断增长,成本管控良好。绩效方案优化后员工工作积极性提高,科室流程得到优化,运营效率显著提升。专科运营助理对科室人力、财力、物资、空间与流程等资源的评估,能及时发现运营中存在的问题并予以改善。专科运营助理制度的设立推进了医院管理模式由经验式、粗放式转向科学化、精细化,实现医院的精细化运营管理。     

Making Sense of Organizational Change: Voices of Older Volunteers

The role of voluntary and community sector organizations in the delivery of public services is increasing and these changes bring new responsibilities and benefits to organizations that have the capacity to participate. There are concerns within the sector about the implications for citizenship and participation. The sector is highly dependent on volunteers yet little is known about how organizational change in response to new relationships with the statutory sector impact upon the commitment and well-being of people who volunteer. This paper addresses that gap in knowledge for older volunteers. Drawing upon collaborative research with a voluntary organization in the north of England, the authors explore the meanings and aspirations of volunteering for older people, and explain how and why changes associated with closer engagement with public service delivery and less grant dependency can be disempowering for them.

木:祭天习俗与民族文化意蕴

语言是文化信息的载体之一,民族语言可以表达某一方面的民族文化。"木"是古老的象形字,研究"木"字包容的古汉民族与古纳西族祭木的文化意蕴,可以从中探寻到汉民族古文化与纳西族古文化的契合点与同质性。这是文化语言学在语言基础上对文化历史作出的重新认识,展示了汉语研究的又一新的前景。     

区域旅游产业化的水平测度与对策研究

旅游是国民经济的重要组成部分,旅游产业化水平直接影响到国民经济的稳定健康发展。在日益激烈的市场竞争条件下,如何客观地测度旅游产业化水平是一个现实的战略问题。本文借鉴国内外有关评价经济行业发展水平的理论,构建了由7个项目层指标和24个因子层指标组成的测度指标体系,采用主成分分析法测度了我国31个省级行政区的旅游产业化水平,对测度结果进行了分类和排序,提出了实现旅游产业化的战略对策,为促进我国旅游产业的可持续发展提供了决策管理的技术路径。     

高校教学工作自我监控和评估的思路和机制

高等学校内部教学质量评估及保障体系是促进和提高学校办学水平的重要机制之一。为了搞好教学工作的自我监控和评估 ,必须首先明确教学工作自我监控的基本目标。在此基础上 ,还要加强教学质量标准研究、教学质量改进和提高的关键因素研究、建立计算机网络环境下的教学信息系统研究等     

中华民族的解放战争 国际性的反法西斯战争——纪念中国抗日战争胜利60周年

抗日战争中,中国各党派、军队为民族大义同仇敌忾。各阶层、各界人民,包括民族资本家、工人阶级、知识分子、青年学生、少数民族、宗教人士、台湾同胞、各地华侨,都表现出强烈的爱国主义精神。抗日战争是中华民族全民族的解放战争。许多国家的友人和军队与中国人民并肩战斗,抗日战争是国际性的反法西斯战争。