一道求二阶偏导数题目的解法探讨

针对一道求二阶偏导数的题目进行探讨,提出4种求解方法,即可以先求偏导函数再代值,也可以先代值再求导,还可以利用偏导数的定义等,进而培养学员的发散思维.     

On Anisotropic Damage Theories based on 2nd Order Damage Tensors

Isotropic and anisotropic damage theories are shortly reviewed concerning different aspects like thermodynamical consistency, effective undamaged configurations, crack-closure effects and the interpretation of the damage variable. A recently proposed damage growth criterion for second order damage tensors is discussed in integral as well as incremental form. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

具有零阶退化方程的二阶双曲型方程奇异摄动问题的一致差分格式

本文讨论了一个二阶双曲型奇异摄动问题,它的一阶导数项含有小参数ε.首先给出该问题解的能量估计及渐近解的余项估计,然后在均匀网格上构造了一个指数型拟合差分格式,最后证明了差分解在离散的能量范数意义下一致收敛于问题的精确解.     

General Regular Variation of n-th Order and the 2nd Order Edgeworth Expansion of the Extreme Value Distribution （Ⅰ）

In Part Ⅰ the concept of the general regular variation of n-th order is proposed and its construction is discussed. The uniqueness of the standard expression and the higher order regularity of the auxiliary functions are proved.     

General Regular Variation of the n-th Order and 2nd Order Edgeworth Expansions of the Extreme Value Distribution （Ⅱ）

In this part II the fundamental inequality of the third order general regular variation is proved and the second order Edgeworth expansion of the distribution of the extreme values is discussed.     

简单高阶奇异性的数值模拟

本文对高阶奇异性的分歧数值计算问题进行了研究，构造了计算简单高阶分歧点的扩充系统，并数值模拟了相应的实际问题。     

Towards High Order Numerical Simulation of Aeolian Tones

Strictly stable high order finite difference operators have been applied to the compressible Navier-Stokes equations in perturbation form for low Mach number computational aeroacoustics. Aeolian tones generated by vortex shedding from a circular cylinder have been simulated. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)