Cauchy问题概率解法收敛性

对于抛物型偏微分方程中的Ｃａｕｃｈｙ问题,本文给出了用Ｍｏｎｔｅ－Ｃａｒｌｏ方法计算出某布朗运动中ｔ时刻前之期望值的数值解法,并证明了此数值解的依概率收敛性。     

Advances in TiS2 for energy storage,electronic devices,and catalysis: A review

As the lightest family member of the transition metal disulfides(TMDs), TiS₂ has attracted more and more attention due to its large specific surface area, adjustable band gap, good visible light absorption, and good charge transport properties. In this review, the recent state-of-the-art advances in the syntheses and applications of TiS₂ in energy storage, electronic devices, and catalysis have been summarized. Firstly, according to the physical presentation of the TiS_...     

Natural tourmaline activated peracetic acid for efficient degradation of sulfadiazine: Reaction mechanisms and catalyst reusability

Peracetic acid(PAA) has received extensive attention in the water treatment due to its high oxidation potential and low toxicity of by-products. In this study, natural non-toxic mineral tourmaline(TM) was used to activate PAA to remove sulfadiazine(SDZ). The TM/PAA system could remove 92 % SDZ in 120 min. The radical analysis confirmed the co-existence of both free radical and non-free radical degradation pathways in the TM/PAA system,indicating that singlet oxygen(¹O₂) and...