kth Order convergence for semilinear elliptic boundary value problems

The method of quasilinearization coupled with the method of upper and lower solutions, is applied to the semilinear elliptic boundary value problems. At the same time, the result of kth convergence for the semilinear boundary value problems is obtained via the idea of Taylors approximation.     

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为避免用四阶紧致格式求解泊松方程所具有编程复杂和难以实现的困难,对 传统的五点二阶中心差分格式进行改进;通过增加对残差的校正计算,提出了一种新型具有 四阶精度的两步预估校正格式. 新格式虽需要增加一定的计算量,但它的格式精度高,边界 条件处理极简单,易于编程实现. 通过数值实验,结果证明上述格式的确具有易于编程和计 算精度高的优点. 预估校正格式很容易推广到其他复杂情形.     

浙江省自然科学基金“十一五”数学领域资助项目统计分析

对浙江省"十一五"期间在浙江省自然科学基金资助下的数学学科研究所取得的成绩和发展现状进行了总结,基于有关数据做了统计分析,据此显示成绩、发现问题,作为下阶段"十二五"期间工作发展和改进的出发点和依据.     

Mathematics for Independence: From Spanish Liberal Exile to the Young American Republics

This paper studies one period in the history of mathematical relationships between Spain and Latin America, when right after the first liberating movements at the beginning of the 19th century, the Spanish-exiled liberals in London produced a peculiar kind of mathematical textbook for the new republics, the catechisms. Copyright 1999 Academic Press.Este trabajo estudia un periodo de la historia de los intercambios matemáticos entre España y Latinoamérica inmediatamente posterior a los movimientos liberadores de principios del siglo XIX, cuando los liberales españoles exiliados en Londres produjeron un tipo muy peculiar de textos matemáticos para las nuevas repúblicas americanas, los catecismos. Copyright 1999 Academic Press.AMS 1991 subject classifications: 00A05, 01A55, 01A80.     

An In4(Se3)1−x Te3x solid solution as a material for absorption optical filters

We suggest using crystals of the In₄(Se₃)_1−xTe_3x solid solution for manufacturing absorption optical filters with the boundary wavelength regulated from 1.7 to 2.5 μm by changing the composition of the solution. The refractive index is determined for different compositions, and the possibility of making the filters antireflecting is shown. The advantages of the proposed filters are connected with the specific features of the absorption edge of crystals and their structure. To whom correspondence should be addressed. Chernovtsy State University, 2, Kotsyubinskii Str., Chernovtsy, 274012, Ukraine. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 66, No. 4, pp. 577–579, July–August, 1999.     

B(X)上的保k次幂线性映射

设Ｘ 为Ｂａｎａｃｈ 空间,Ｂ（Ｘ）为Ｘ 上有界线性算子全体组成的代数,本文给出了Ｂ（Ｘ）上保ｋ 次幂弱连续线性满射的完全刻划．     

线性代数习题课系统(LASCS)Win95版的研制与开发

本文介绍了《线性代数习题课系统》CAI软件的研制目标、研制过程、系统涉及的教材内容、系统结构和功能、系统的新特性及主要程序设计技术 .     

多模辐射场的广义非线性高阶差压缩——N次方X压缩的一般理论

本文在发展现有理论的基础上,提出了多模(2q模)辐射场的广义非线性高阶差压缩(即N次方X压缩)的定义,给出N次方X压缩效应的压缩度的计算公式,并对N-X最小测不准态和N-X压缩最小测不准态等进行了详细讨论.指出,MarkHilery在文献6中所提出的有关双模辐射场的“差压缩”的定义,仅仅是本文所提出的多模辐射场的广义非线性高阶差压缩(即N次方X压缩)的一般性定义在q=1、N=1条件下的特例.     

任意光场湮没算符高次幂本征态的内部结构

任意光场湮没算符高次幂的本征态都具有类似于奇偶相干态的内部奇偶结构.根据这一结果,对于单模光场,指出了怎么由aM本征态来产生a2M的本征态.     

Tricyclic diterpenoids of the dolastane ring system from the marine alga dictyota divaricata

Four new oxygenated tricyclic diterpenoids have been isolated from the Caribbean brown alga Dictyota divaricata. The structures of these new compounds were secured by an X-ray analysis of a convenient diol derivative, followed by interconversion where possible. The new diterpenoids belong to the dolastane group first isolated from the herbivorous mollusc Dolabella auricularia and their isolation here indicates that the sea hare most likely derived these compounds from brown seaweeds of the family Dictyotaceae.