An interpolation matched interface and boundary method for elliptic interface problems

AbstractAn interpolation matched interface and boundary (IMIB) method with second-order accuracy is developed for elliptic interface problems on Cartesian grids, based on original MIB method proposed by Zhou et al. [Y. Zhou, G. Wei, On the fictious-domain and interpolation formulations of the matched interface and boundary method, J. Comput. Phys. 219 (2006) 228–246]. Explicit and symmetric finite difference formulas at irregular grid points are derived by virtue of the level set function. The difference scheme using IMIB method is shown to satisfy the discrete maximum principle for a certain class of problems. Rigorous error analyses are given for the IMIB method applied to one-dimensional (1D) problems with piecewise constant coefficients and two-dimensional (2D) problems with singular sources. Comparison functions are constructed to obtain a sharp error bound for 1D approximate solutions. Furthermore, we compare the ghost fluid method (GFM), immersed interface method (IIM), MIB and IMIB methods for 1D problems. Finally, numerical examples are provided to show the efficiency and robustness of the proposed method

the wall-following controller for the mobile robot using spiking neurons

Shanghai Univ Elect Power, IEEE, Springer, APNNA, NSFCAutonomous mobile robot is a hot research topic and attracts many interests due to that mobile robot has been or will be employed in various fields, such as space exploration, under water survey, industrial and military industries, service and medical applications, and so on. Wall following strategy can help the mobile robot to avoid deadlock caused by local minim and fulfill the given task effectively. Spiking Neural Networks (SNNs), the third generation of the neural networks, is suitable in the design of mobile robot behaviors controller. In this paper, a wall following controller based on SNNs for mobile robot is presented. Pulse frequency codes and pulse temporal coincidence detection codes are used in the proposed SNN controller. The designed controller can not only control the robot to follow the wall successfully, but also can be easily implemented

spiking neural networks and its application for mobile robots

Academy of Mathematics and Systems Science, CAS; IEEE Control Systems Society; IEEE Industrial Electronics Society; The Society of Instr. and Contr. Engineers of Japan; Institute of Control, Robotics and Systems of KoreaIn this paper, the third generation neural network- Spiking neural networks (SNNs) are introduced. SNNs' origination, characteristic, coding, the training methods, and the models of Spiking neurons and synaptics are also discussed. A survey for SNNs' research and application in mobile robots is made. Because of SNNs' unique characteristic: good biological plausibility, Spiking neurons involving both temporal and spatial information, faster and more efficiently computing, good robustness and easy implementation by hardware, SNNs have been used in mobile robots' control, environment perception and robots' vision successfully. © 2011 Chinese Assoc of Automati

corridor-scene classification for mobile robot using spiking neurons

Int Nat Computat & Knowledge Discovery Assoc, Shandong UnivThe ability of cognition and recognition for complex environment is very important for a real autonomous robot. A Corridor-Scene-Classifier based on spiking neural networks (SNN) for mobile robot is designed to help the mobile robot to locat