Precise time integration algorithm of stiff equation in nonlinear dynamic system 非线性动力系统刚性方程精细时程积分法
The arbitrary order explicit precise time integration method for stiff equations 任意阶显式精细积分多步法在刚性方程中的应用研究
Applied the precise integration method to solve stiff equations and nonlinear equations , and improved the method from explicit and implicit aspects . it found that the exact solution of some differential equations may be obtained , and always stable absolutely 将之应用于刚性方程及非线性方程的求解中,并对非线性方程的求解从显式和隐式两个方面给出了改进措施,得出:使用精细积分法可以给出某些微分方程的精确解,且绝对稳定。
刚性: rigidity; stiffness; inflexi ...方程: equation刚性方案: rigid analysis scheme安定性方程: stability equation本性方程: intrinsic equation弹性方程: elastic equation; elasticity equation; equations of elasticity弹性方程(式): elastic equations非线性方程: non linear equation; nonlinear equation连续性方程: continuing equation; continuity equation; equation of continuity; equation of through flow拟线性方程: quasi linear equation; quasilinear equation渗透性方程: permeability equation塑性方程: equation of plasticty特性方程: characteristic equation特性方程式: characteristic equation稳定性方程: stability equation线性方程: linear equation线性方程解: linear equation solution线性方程式: linear equation线性方程组: a system of simultaneous linear equations; lineares gleichungssystem linear system of equations; system of linear equations; set of linear equation; solving linear equations; system of linear equations相容性方程: compatibility condition; compatibility equations; equation of compatibility中性方程: neutrallty equation准线性方程: quasi linear equation; quasilinear equation最佳性方程: optimality equation对称线性方程: symmetric linear equations; symmetrical linear equation二元线性方程: linear equation in two unknowns