常微分方程特征值问题的求解器解法

SOLUTION OF EIGENPROBLEMS IN ODES BY STANDARD ODE SOLVERS

许多工程计算归结为常微分方程(ODE)特征值问题。近代的高效能的ODE求解器为一般的线性及非线性ODE问题的求解提供了强有力的武器,但通常不具备求解特征值问题的功能,难以直接应用。本文提出了一个用标准的ODE求解器求解ODE特征值问题的算法,使得大批ODE特征值问题能够凭借ODE求解器的功效得以方便有效、精确可靠地求解。

Many structural computations reduce to eigenproblems in ordinary differential equations (ODEs), While the available general-purpose ODE solvers are powerful tools for general linear and nonlinear ODEs, they are not equipped with eigensolution features. In this paper,a solution strategy for structural eigenproblems in ODEs by using standard ODE solvers is presented, so that advantage of the availability and reliability of the existing ODE solvers can conveniently be taken for accurate and reliable solution of various ODE eigenproblems.