A Continuation Method of Parameter Inversion for Non-Equilibrium Convection-Dispersion Equation

Based on the homotopy mapping, a globally convergent method of parameter inversion for non-equilibrium convection-dispersion equations (CDEs) is developed. Moreover, in order to further improve the computational efficiency of the algorithm, a properly smooth function, which is derived from the sigmoid function, is employed to update the homotopy parameter during iteration. Numerical results show the feature of global convergence and high performance of this method. In addition, even the measurement quantities are heavily contaminated by noises, and a good solution can be found.

A Continuation Method Applied to the Study of Thermocapillary Instabilities in Liquid Bridges

A continuation method is applied to investigate the linear stability of the steady, axisymmetric thermocapillary flows in liquid bridges. The method is based upon an appropriate extended system of perturbation equations depending on the nature of transition of the basic flow. The dependence of the critical Reynolds number and corresponding azimuthal wavenumber on serval parameters is presented for both cylindrical and non-cylindrical liquid bridges.

同伦算法在并联机器人运动学中的应用

讨论同伦算法求解并联机器人运动学正问题。通过参系数同伦法大大减少了跟踪路径的数目，从而提高了同伦算法的效率使之对求解一般非线性代数方程组更为可行。采用这一算法，求出了中科院沈阳自动化研究所机器人开放研究实验室的新型并联机器人模型的全部正解，为新模型的机构分析和实时控制提供了理论依据。