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We first derive these methods for the first-order initial value problems, and then extend these methods to the highly oscillatory nonlinear systems by matrix analysis methods.
In order to increase the optimization speed and decrease the solution time of the problem, fast matrix analysis methods has been employed leading to reduction of the time required for calculating of the objective function.
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It is proved that the numerical method is unconditionally stable in view of the matrix analysis method.
In this paper, a model for computing the process of the system was established, and matrix analysis method was adopted.
To solve this problem, expert evaluation and fuzzy theory are adopted and a fuzzy risk matrix analysis method is formed.
The tool integrates the documents analysis method and extended colored Petri net (ECPN) matrix analysis method with backward simulation for knowledge acquisition and knowledge verification, respectively.
The established transformation matrix analysis method is helpful both in analysis of the shear characteristics of multi-pass ECAP processing and in the design of new ECAP routes.
Augmented state matrix analysis method is introduced, and robust fault-tolerant control problem of networked control systems with noise disturbance under actuator failures is studied.
The steady state response of an internally damped spherical shell translationally or rotationally driven at an edge is determined by the transfer matrix analysis method.
The axisymmetrical response of a circular cylindrical double-shell system with internal damping to a time-dependent surface load is determined by the matrix analysis method.
The transient responses of the laminated composite beam under a half-cycle pulse force and a rectangular pulse force are then solved by the reverberation-ray matrix analysis method (RRM).
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