A posteriori error analysis of a quadratic finite volume method for nonlinear elliptic problems

In this article, we construct and analyze a residual-based a posteriori error estimator for a quadratic finite volume method (FVM) for solving nonlinear elliptic partial differential equations with homogeneous Dirichlet boundary conditions. We shall prove that the a posteriori error estimator yields the global upper and local lower bounds for the norm error of the FVM. So that the a posteriori error estimator is equivalent to the true error in a certain sense. Numerical experiments are performed to illustrate the theoretical results.     

声速法测定纤维的取向度

纤维具有声学的各向异性,声波通过纤维的速度与纤维中高分子链的取向程度有关。测定声波沿纤维轴方向的传播速度可以计算纤维的取向度α: α=1-C~2_u/C~2其中C及C_u分别为声波通过取向及无规取向纤维的速度。 实验仪器采用每秒100次的脉冲电流输至高音喇叭的音圈,纤维通过弹簧夹子与喇叭振膜的中心相耦合。脉冲电流激发喇叭振膜振动系统,使产生逐渐衰减的固有频率振动(约4000赫)。离振源200厘米处的纤维另一端有拾音器,其输出讯号接至由脉冲电压触发扫描的脉冲示波器,从示波器可以观察到从振源到拾音器的距离间声波在纤维中的传播时间,由此计算出声波通过纤维的速度。 纤维的吸湿性与所受张力不同对其力学性貭均有影响,因此研究了相对湿度与张力对纤维中声速的影响,并选择了在室温(约30℃),相对湿度为60％和在小于纤维的临界杨氏模量的作用张力下进行声速法测定纤维的取向度。 研究了不同拉伸程度单纤维样品的声波传播速度,并外推到长度拉伸比为1时作为声波通过无规取向纤维的速度。实验结果表明,尼龙6纤维的取向度经拉伸与后处理逐渐增大至80％左右。 测定了不同品种的尼龙6纤维的取向度,具有较大强度的纤维其取向度较大。     

When does gradient Ricci soliton have one end?

Annals of Global Analysis and Geometry - In this paper, we study a problem of finding compact hypersurfaces of prescribed mean curvature with free boundary in a ball. We transform the problem to an...     

Mass spectrometry-based chemical mapping and profiling toward molecular understanding of diseases in precision medicine

Precision medicine has been strongly promoted in recent years. It is used in clinical management for classifying diseases at the molecular level and for selecting the most appropriate drugs or treatments to maximize efficacy and minimize adverse effects. In precision medicine, an in-depth molecular understanding of diseases is of great importance. Therefore, in the last few years, much attention has been given to translating data generated at the molecular level into clinically relevant information. However, current developments in this field lack orderly implementation. For example, high-quality chemical research is not well integrated into clinical practice, especially in the early phase, leading to a lack of understanding in the clinic of the chemistry underlying diseases. In recent years, mass spectrometry (MS) has enabled significant innovations and advances in chemical research. As reported, this technique has shown promise in chemical mapping and profiling for answering “what”, “where”, “how many” and “whose” chemicals underlie the clinical phenotypes, which are assessed by biochemical profiling, MS imaging, molecular targeting and probing, biomarker grading disease classification, etc. These features can potentially enhance the precision of disease diagnosis, monitoring and treatment and thus further transform medicine. For instance, comprehensive MS-based biochemical profiling of ovarian tumors was performed, and the results revealed a number of molecular insights into the pathways and processes that drive ovarian cancer biology and the ways that these pathways are altered in correspondence with clinical phenotypes. Another study demonstrated that quantitative biomarker mapping can be predictive of responses to immunotherapy and of survival in the supposedly homogeneous group of breast cancer patients, allowing for stratification of patients. In this context, our article attempts to provide an overview of MS-based chemical mapping and profiling, and a perspective on their clinical utility to improve the molecular understanding of diseases for advancing precision medicine.

An overview of MS-based chemical mapping and profiling, indicating its contributions to the molecular understanding of diseases in precision medicine by answering "what", "where", "how many" and "whose” chemicals underlying clinical phenotypes.     

Effect of substituents (NH_2,OH,F) on structures and stability of lithofluorosilylenoids

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会计学专业实践性教学模式的探讨

知识经济时代 ,对会计人员的素质要求越来越高。文章主要探讨如何加强会计专业实践性教学环节 ,寻求有效的实践性教学模式 ,从而培养出具有熟练会计核算能力、利用会计资料进行会计监督、参与企业经营管理预测和决策能力的会计人才     

马尔可夫链模型在寿险中的应用

文章就保险公司的短期保单建立了一个具有吸收状态的马尔可夫链的数学模型，并分析了这种马氏链的性质，然后结合实例了解了这些性质的实际意义．     

跨期消费的动态风险投资模型

在古典Modigliani-Brumberg生命周期假设和Friedman的持久收入假设下,给出一个有代表性的消费者的最优消费、投资和储蓄的风险投资组合数学模型,通过该模型合理确定投资、消费和储蓄的最佳份额;同时给出了该模型的现实含义.     

一类弱奇性Volterra积分不等式的推广

在不要求函数单调的条件下，研究一类Volterra型弱奇性不等式解的估计，所得结果推广了马庆华等的结果，并弥补了其中的漏洞。