【摘 要】
:
对一类带波动算子的非线性Schr(o)dinger方程进行了数值分析,提出了一个含参数的二阶守恒差分格式,根据参数选取的差异,该格式既可隐式计算也可显式计算.对初值条件进行了中
【机 构】
:
南京航空航天大学航空宇航学院,南京航空航天大学理学院
论文部分内容阅读
对一类带波动算子的非线性Schr(o)dinger方程进行了数值分析,提出了一个含参数的二阶守恒差分格式,根据参数选取的差异,该格式既可隐式计算也可显式计算.对初值条件进行了中心差分离散,使其具有二阶精度,从而与守恒格式的精度一致.利用矩阵理论证明了差分解的存在惟一性,并利用一个重要的不等式在先验估计的基础上,运用能量估计的方法证明了该格式按无穷范数以二阶精度收敛到真实解.数值实验表明该格式具有较高的计算效率.
其他文献
The crystal langasite manifests its unique advantages and potentials for high temperature applications due to a high electromechanical coupling coefficient, tem
A 324 bp of nifH fragment was PCR amplified from Paenibacillus massiliensis T7 using the universal degenerate primers. The PCR-amplified nifH fragment was label
In this paper we give a new construction of authentication codes with arbitration using orthogonal spaces. Some parameters and the probabilities of successful a
In most organics extraction processes, the commonly used solvents employ solely physical inter-actions. Therefore, for the recovery and purification of products
The paper deals with the principle of envelope of a one-parameter plane family to design developable surfaces. Three methods of designing developable surfaces a
在相对论σ-ω-ρ模型的平均场近似下,研究了质子中子星物质在均熵状态下的组成、温度和物态方程.如给定每一个重子的熵,一些热力学量的值将随重子密度的增加而增加,当考虑超
In the present study, nuclear transferred embryos (NTEs) were reconstructed by using pig fetal fibroblasts as donors and in vitro matured oocytes as recipients.
Genetic coadaptability of wild Japanese quail, wild Common quail and Domestic quail populations in China was studied using 7 microsatellite DNA markers and Mont
The surface acidity of synthetic amorphous Al hydroxide was determined by acid/base titration with several complementary methods including solution analyses of
Purified avian infectious bronchitis virus (IBV) was used to screen a random phage display peptide library. After the fourth panning, 10 positive phages were se