On variable stepsize Runge-Kutta approximations of a Cauchy problem for the evolution equation

We consider a Cauchy problem for the sectorial evolution equation with generally variable operator in a Banach space. Variable stepsize discretizations of this problem by means of a strongly A(φ)-stable Runge-Kutta method are studied. The stability and error estimates of the discrete solutions are derived for wider families of nonuniform grids than quasiuniform ones (in particular, if the operator in question is constant or Lipschitz-continuous, for arbitrary grids).     

“Horizontal” and “vertical” quantum-dot molecules

An analysis is made of a two-electron system of two adjacent quantum dots (QD) with a two-dimensional parabolic lateral confining potential, and of two coupled or double, spatially separated QDs (a “horizontal” and a “vertical” QD molecule), and of their behavior in an external transverse magnetic field. The ground-state energies and energy spectra of the system have been determined by various methods (Heitler-London, molecular-orbital, variational approach, and numerical diagonalization of Hamiltonian), with inclusion of electron-electron interaction, and for a broad range of confining-potential steepness, QD-center spacing (interlayer distance), and external magnetic field. Fiz. Tverd. Tela (St. Petersburg) 40, 2127–2133 (November 1998)     

Response of a YBaCuO/MgO bolometer structure at high levels of laser excitation. Nonlinear model and experiment

A nonlinear model is developed for the photoresponse of a bolometric structure taking into account the temperature dependences of the thermal constants of the YBaCuO/MgO structure and its boundary thermal resistance. The model also allows for the specific form of the currentvoltage characteristic of YBaCuO and the heat release from the transport current flow. A comparison between the experimental data and the model showed that the nonlinear thermal model accurately describes the temporal characteristics of the photoresponse. Fiz. Tverd. Tela (St. Petersburg) 40, 191–194 (February 1998)     

全氟磺酸树脂中空纤维膜的离子交换性能的研究

本文采用静态和动态离子交换两种方法,对全氟磺酸树脂中空纤维膜的离子交换性能进行了研究。结果表明在静态离子交换过程中,膜的交换能力随着时间增加而增加,最后趋于一平衡值;金属离子的种类对膜的交换能力有很大的影响。在动态离子交换过程中,膜的交换能力随温度升高而增加。并测定了静态和动态交换过程中的各扩散系数。     

Stress state of infinite medium with elastic paraboloidal inclusion

S. P. Timoshenko Institute of Mechanics, Ukrainian Academy of Sciences, Kiev. Translated from Prikladnaya Mekhanika, Vol. 29, No. 12, pp. 15–21, December, 1993.     

期货交易量和现货交易量在发电公司计划中的经济分配

首先运用投资组合理论和线性规划的方法，建立了发电公司在完成计划交易电量下的利润模型，应用函数求导的单调性判别法，分析讨论期货电量和现货电量之间的不同比例对发电公司利润的影响，并对成本价格进行了相关的探讨。     

优化铅酸蓄电池化成工艺参数的研究

本文针对生极板为同一型号的电池，采用二次加酸化成，改变电流密度和时间．控制电解液的温度等方法．得到优化的工艺参数。采用该组工艺参数，不仅缩短铅酸蓄电池化成周期．提高生产效率，而且节约能源。     

试析少儿英语的"感知"教学

如何提高少儿英语的教学质量，这是全社会共同关心和急需解决的问题。本文在前人研究的基础上，结合少儿的特点，着重探讨少儿英语的“感知”教学，即让少儿在“感知”中习得英语。     

传统与象征——对《滁州西涧》和《游园不值》的现代解析

传统的文学批评是社会历史的批评,它强调艺术的表现对象与人类社会生活的对应关系,这已为广大读者所熟知;弗罗伊德精神分析的解诗方法则强调艺术创造过程和艺术表现对象都是人类无意识深处性本能作用的结果,一切皆与性有关.韦应物和叶绍翁的两首七言绝句当然也是言性之作.这种理论尽管偏颇,难称科学,但惟其不流俗而让人倍感新奇.这预示着富有个性的多元文学批评时代已经来临.     

New numerical methods and some applied aspects of the p-regularity theory

The theory of p-regularity is applied to optimization problems and to singular ordinary differential equations (ODE). The special variant of the method of the modified Lagrangian function proposed by Yu.G. Evtushenko for constrained optimization problems with inequality constraints is justified on the basis of the 2-factor transformation. An implicit function theorem is given for the singular case. This theorem is used to show the existence of solutions to a boundary value problem for a nonlinear differential equation in the resonance case. New numerical methods are proposed including the p-factor method for solving ODEs with a small parameter.