建立一维格子Boltzmann模型的演化方程,运用Taylor展开和Chapman-Enskog多尺度分析技术,推导出能够恢复一类非线性耦合的NLS-KDV方程的平衡态分布函数和修正函数。最后,数值算例验证出该方法的计算结果与给出的精确解有很好的一致性。The evolution equations of the one-dimensional lattice Boltzmann model are established, and the equilibrium distribution function and the correction function that can recover a class of nonlinearly coupled NLS-KDV equations are derived by using Taylor expansion and Chapman-Enskog multiscale analysis techniques. Finally, numerical examples verify that the computational results of the method are in good agreement with the given exact solutions.
利用c-次微分概念,引入新的约束规范条件,给出了带DC型不等式的均匀凸优化问题的最优性条 件,同时利用均匀凸函数的性质,定义了原问题的Lagrange对偶问题,利用函数的c-共轭上图性 质,刻画了原问题与其Lagrange对偶问题之间的全对偶。By using the concept of c-subdifferential and introducing new constraint qualification-s, the optimality conditions for evenly convex optimization problems with DC type inequalities are given. At the same time, the Lagrange dual problem of the prime problem is defined by utilizing the properties of evenly convex functions. By utilizing the c-conjugate graph property of functions, the total dual problem between the prime problem and its Lagrange dual problem is depicted.
虽然“互联网 + 支教”规模正在逐渐扩大,但一直缺乏科学全面的评价体系来及时反馈其教学效果,本文从能力提升、情感态度与道德培育、身心健康共三个方面选取了12个指标,同时基于DEMATEL法计算各指标权重来建立云支教培养效果评价体系,最后根据DEMATEL法计算得出的结果对优化云支教的培养路径提供建议。Although the scale of “Internet + volunteer teaching” is gradually expanding, there has been a lack of a scientific and comprehensive evaluation system for timely feedback on its teaching effect. This paper selects 12 indicators from three aspects: ability improvement, emotional attitude and moral cultivation, and physical and mental health, and calculates the weights of each index based on the DEMATEL method to establish an evaluation system for the training effect of cloud volunteer teaching, and finally provides suggestions for optimizing the training path of cloud volunteer teaching according to the results calculated by the DEMATEL method.
