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Journal of Systems Engineering and Electronics 1996年第4期7卷 19-26页

作者： Song Xiaoqiu(Beijing institute of computer application and Simulation Technology ) Beijing institute of computer application and Simulation Technology P.O. Box 3929 Beijing 100854 P.R. China

In this paper, a 3rd order combination method with three processes and a 4th order combination method with five processes for solving ODEs are discussed. These methods are the Runge-Kutta method combined with a linear... 详细信息

关键词： Software Reliability Numerical analysis Combination method Parallel Computation,ODEs.

PARALLEL MULTI-STAGE & MULTI-STEP METHOD IN ODES

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Journal of Computational Mathematics 2000年第2期18卷 157-164页

作者： Xiao-qiu Song (institute of computer application and Simulation Technology P.O.Box 3929, Beijing 100854, China) 北京计算机应用与仿真技术所北京 100854

Presents information on a study which discussed the theory of parallel multi-stage and multi-step method, which is a form of combining Runge-Kutta method with linear multi-step method. Basic theory and equations; Appl... 详细信息

关键词： ordinary differential equations parallel simulation

PARALLEL ROSENBROCK METHODS FOR SOLVING STIFF SYSTEMS IN REAL-TIME SIMULATION

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Journal of Computational Mathematics 2000年第4期18卷 375-386页

作者： Li-rong Chen De-gui Liu (Beijing institute of computer application and Simulation Technology, Beijing 100854, China) 北京计算机应用与仿真技术所北京 100854

In this paper parallel Rosenbrock methods in real-time simulation are presented on parallel computers. Their construction, their convergence and their numerical stability are studied, and the numerical simulation expe... 详细信息

关键词： Rosenbrock methods stiff system real-time simulation parallel algorithms

Parallel Rosenbrock Methods for DifferentialAlgebraic Equations

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Journal of Systems Engineering and Electronics 2001年第2期12卷 73-81页

作者： Fei Jinggao Beijing institute of computer application and Simulation Technology 100854, P. R. China Beijing institute of computer application and Simulation Technology 100854 P. R. China

A class of parallel Rosenbrock methods for differential algebraic equations are presented in this paper. The local truncation errors are defined and the order conditions are established by using the DA-trees and DA-series. The paper also deals with the convergence of the parallel Rosenbrock methods for h -> 0 and states the bounds for the global errors of the methods. Some particular methods are obtained by solving the order equations and a numerical example is given, from which the theoretical orders are actually observed.

关键词： D Differential- algebraic system Par algorithm Rosenbrock algorithm Rosenbrock method Convergence.

VEHICLE DYNAMIC ANALYSIS SIMULATION－MODELLING THEORY AND ENGINEERING application

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Chinese Journal of Mechanical Engineering 1995年第1期8卷 6-14页

作者： Ju Naijun(institute of computer application, COI)

A computer software named VDAS (Vehicle Dynamic Analysis Simulation) is *** on the mathematical modelling for a military vehicle as a 3-D dynamic system, the softwarecreates random excitation resulting from double side road-surface roughness by statisticalsimulation, and solves for the time series of the system response from the system state equations,and gives out the results in probability statistics as well as performance evaluations.

关键词： Vehicle dynamic system Random excitation State equation Statisticalsimulation

A Class of Parallel Implicit Runge-Kutta Formulas

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Journal of Systems Engineering and Electronics 1993年第4期4卷 53-63页

作者： Fei JinggaoBeijing institute of computer application and Simulation Technology P.O. Box 3929, Beijing 100854, China Beijing institute of computer application and Simulation Technology P.O. Box 3929 Beijing 100854 China

A class of parallel implicit Runge-Kutta formulas is constructed for multiprocessor system. A family of parallel implicit two-stage fourth order Runge-Kutta formulas is given. For these formulas, the convergence is proved and the stability analysis is given. The numerical examples demonstrate that these formulas can solve an extensive class of initial value problems for the ordinary differential equations.

关键词： Multiprocessor system Parallel algorithm Ordinary differential equation Implicit Runge-Kutta formula.

A Class of Real-Time Parallel Combined Methods ofDigital Simulation for Large Systems

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Journal of Systems Engineering and Electronics 2000年第2期11卷 25-31页

作者： Liu Degui & Chen Lirong(Beijing institute of computer application and Simulation Technology, 100854, P. R. China) Beijing institute of computer application and Simulation Technology 100854 P. R. China

In this paper, a class of real-time parallel combined methods (RTPCM) of the digital simulation for a partitioned large system is presented. By means of combination of the parallelism across the system with the parallelism across the method, stiff and non-stiff subsystems are solved in parallel on parallel computer by a parallel Rosenbrock method and a parallel RK method, respectively. Their construction, convergence and numerical stability are discussed, and the digitalsimulation experiments are conducted.

关键词： Large system Real-time parallel combined method Parallel computer

A Class of Parallel Runge-Kutta Methods for Differential-Algebraic Systems of Index 2

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Journal of Systems Engineering and Electronics 1999年第3期10卷 64-75页

作者： Fei Jinggao(Beijing institute of computer application and Simulation Technology, 100854, P. R. China) Beijing institute of computer application and Simulation Technology 100854 P. R. China

A class of parallel Runge-Kutta Methods for differential-algebraic equations of index 2are constructed for multiprocessor system. This paper gives the order conditions and investigatesthe convergence theory for such m... 详细信息

关键词： Multiprocessor system Parallel algorithm Runges-Kutta method Differential-algebraic system

A Class of Explicit Parallel Multistep Runge-Kutta Methods

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Journal of Systems Engineering and Electronics 1993年第4期4卷 64-72页

作者： Xie Yajun and Liu DeguiBeijing institute of computer application and Simulation Technology P.O.Box. 3929, Beijing 100854, China Beijing institute of computer application and Simulation Technology P.O. Box. 3929 Beijing 100854 China

In this paper, a rather general class of explicit parallel multistep Runge-Kutta methods is constructed for solving initial value problem of ordinary differential equations. Also, the corresponding convergence and stability are analysed. Several parallel computational formulae are given. The numerical experiments, including accuracy, speedup, and efficiency tests show that the methods are efficient.

关键词： Runge-Kutta method Initial value problem.