Efficient high-order immersed interface methods for heat equations with interfaces

An efficient high-order immersed interface method （IIM） is proposed to solve two-dimensional （2D） heat problems with fixed interfaces on Cartesian grids, which has the fourth-order accuracy in the maximum norm in both time and space directions. The space variable is discretized by a high-order compact （HOC） difference scheme with correction terms added at the irregular points. The time derivative is integrated by a Crank-Nicolson and alternative direction implicit （ADI） scheme. In this case, the time accuracy is just second-order. The Richardson extrapolation method is used to improve the time accuracy to fourth-order. The numerical results confirm the convergence order and the efficiency of the method.

DOA估计中的高阶累积量应用方法

高阶累积量由于对高斯噪声不敏感,在高分辨阵列信号处理中可用来提高参数估计的分辨性能。本文从一个统一的角度来研究基于高阶累积量的高分辨阵列信号处理方法,并就一种方法在阵列信号处理中的应用通过计算机仿真与基于二阶矩的方法进行了较全面的比较。