This paper applies the variational iteration method to obtain approximate analytic solutions of compressible Euler equations in gas dynamics. This method is based on the use of Lagrange multiplier for identification o...This paper applies the variational iteration method to obtain approximate analytic solutions of compressible Euler equations in gas dynamics. This method is based on the use of Lagrange multiplier for identification of optimal values of parameters in a functional. Using this method, a rapid convergent sequence is produced which converges to the exact solutions of the problem. Numerical results and comparison with other two numerical solutions verify that this method is very convenient and efficient.展开更多
In this paper, we establish a few existence results of nonoscillatory solutions to second-order nonlinear neutral delay differential equations, construct several Manntype iterative approximation schemes for these nono...In this paper, we establish a few existence results of nonoscillatory solutions to second-order nonlinear neutral delay differential equations, construct several Manntype iterative approximation schemes for these nonoscillatory solutions, and give some error estimates between the approximate solutions and the nonoscillatory solutions. And finally we give an example to illustrate our results.展开更多
针对无人机可见光图像目标小、对比度弱的问题,本文提出一种基于简单线性迭代聚类(Simple linear iterative clustering,SLIC)分层分割的极小目标检测方法。首先使用预处理方法提高原始图像的对比度,并利用Top-hat融合方法进行初始分割...针对无人机可见光图像目标小、对比度弱的问题,本文提出一种基于简单线性迭代聚类(Simple linear iterative clustering,SLIC)分层分割的极小目标检测方法。首先使用预处理方法提高原始图像的对比度,并利用Top-hat融合方法进行初始分割以确定目标区域,其次利用SLIC方法完成目标精细分割,并采用改进的具有噪声的基于密度的聚类方法(Density-based spatial clustering of applications with noise,DBSCAN)对SLIC分割结果进行超像素聚类,最后提取目标的邻域熵等多种底层特征,使用特征匹配方式检测目标,获取最终检测结果。本文提出了一种全局检测和局部检测相结合的检测策略,极大提高了检测速度。仿真结果表明,本文方法可以有效提高无人机小目标的检测性能,加速检测速度。展开更多
提出了一种基于压缩技术和子空间迭代的特征向量迭代估计算法,由于该算法采用迭代形式,同目前的特征向量求解方法相比(如奇异值分解法),该算法计算量小、复杂度低、算法收敛速度快、易于实时实现,可对由信号构成的自相关矩阵的特征向量...提出了一种基于压缩技术和子空间迭代的特征向量迭代估计算法,由于该算法采用迭代形式,同目前的特征向量求解方法相比(如奇异值分解法),该算法计算量小、复杂度低、算法收敛速度快、易于实时实现,可对由信号构成的自相关矩阵的特征向量作出准确的估计。通过仿真实验可见该算法具有很高的估计精度。将该算法应用到MUSIC(multiple signal classification)谱估计中,通过计算机进行仿真对比可以看到,利用提出的算法进行谱估计精度要高于标准的MUSIC谱估计精度,且计算量大大减小,由此验证了算法的有效性和优越性。展开更多
基金supported by the National Natural Science Foundation of China (Grant Nos. 10771019 and 10826107)
文摘This paper applies the variational iteration method to obtain approximate analytic solutions of compressible Euler equations in gas dynamics. This method is based on the use of Lagrange multiplier for identification of optimal values of parameters in a functional. Using this method, a rapid convergent sequence is produced which converges to the exact solutions of the problem. Numerical results and comparison with other two numerical solutions verify that this method is very convenient and efficient.
基金supported by the National Natural Science Foundation of China(No.10771001)Doctoral Fund of Ministry of Education of China(No.20093401110001)Nature Science Foundation of Anhui Province(No.KJ2013B276)
文摘In this paper, we establish a few existence results of nonoscillatory solutions to second-order nonlinear neutral delay differential equations, construct several Manntype iterative approximation schemes for these nonoscillatory solutions, and give some error estimates between the approximate solutions and the nonoscillatory solutions. And finally we give an example to illustrate our results.
文摘针对无人机可见光图像目标小、对比度弱的问题,本文提出一种基于简单线性迭代聚类(Simple linear iterative clustering,SLIC)分层分割的极小目标检测方法。首先使用预处理方法提高原始图像的对比度,并利用Top-hat融合方法进行初始分割以确定目标区域,其次利用SLIC方法完成目标精细分割,并采用改进的具有噪声的基于密度的聚类方法(Density-based spatial clustering of applications with noise,DBSCAN)对SLIC分割结果进行超像素聚类,最后提取目标的邻域熵等多种底层特征,使用特征匹配方式检测目标,获取最终检测结果。本文提出了一种全局检测和局部检测相结合的检测策略,极大提高了检测速度。仿真结果表明,本文方法可以有效提高无人机小目标的检测性能,加速检测速度。
文摘提出了一种基于压缩技术和子空间迭代的特征向量迭代估计算法,由于该算法采用迭代形式,同目前的特征向量求解方法相比(如奇异值分解法),该算法计算量小、复杂度低、算法收敛速度快、易于实时实现,可对由信号构成的自相关矩阵的特征向量作出准确的估计。通过仿真实验可见该算法具有很高的估计精度。将该算法应用到MUSIC(multiple signal classification)谱估计中,通过计算机进行仿真对比可以看到,利用提出的算法进行谱估计精度要高于标准的MUSIC谱估计精度,且计算量大大减小,由此验证了算法的有效性和优越性。
