| Parallel Rosenbrock Methods for DifferentialAlgebraic Equations |
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| 作者姓名： | Fei Jinggao Beijing Institute of Computer Application and Simulation Technology P. R. China |
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| 作者单位： | Fei Jinggao Beijing Institute of Computer Application and Simulation Technology 100854，P. R. China |
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| 基金项目： | the National Natural Science Foundation of China (No. 19871080) |
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| 摘 要： | 1. INTRODUCTIONWe consider the system of dtherelltial-algebraic equations(DAE)where y is in some space E and z in EI. For convenience of notations we assume that y and z are scalarqualities. All subsequeDt formulas remain valid for vectors if the derivatives are interpreted as multilinearmappings. We suppose that the initial values are consistent, i.e. g(yo, to) = 0. Moreover j and g are assumedto be sufficiently differentiable. We also assume the DAE system to be of index one; it me…
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Parallel Rosenbrock Methods for Differential Algebraic Equations |
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| Fei Jinggao Beijing Institute of Computer Application and Simulation Technology ,P. R. China.Parallel Rosenbrock Methods for DifferentialAlgebraic Equations[J].Journal of Systems Engineering and Electronics,2001,12(2). |
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| Authors: | Fei Jinggao |
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| Institution: | Beijing Institute of Computer Application and Simulation Technology, |
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| Abstract: | 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. |
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| Keywords: | D Differential- algebraic system Par algorithm Rosenbrock algorithm Rosenbrock method Convergence |
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