GP-Stability of Rosenbrock Methods for System of Delay Differential Equation

CONG Yu-hao; CAI Jia-ning; XIANG Jia-xiang

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(12): 1285-1291

CONG Yu-hao, CAI Jia-ning, XIANG Jia-xiang. GP-Stability of Rosenbrock Methods for System of Delay Differential Equation[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1285-1291.

Citation:

CONG Yu-hao, CAI Jia-ning, XIANG Jia-xiang. GP-Stability of Rosenbrock Methods for System of Delay Differential Equation[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1285-1291.

Citation:

CONG Yu-hao, CAI Jia-ning, XIANG Jia-xiang. GP-Stability of Rosenbrock Methods for System of Delay Differential Equation[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1285-1291.

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GP-Stability of Rosenbrock Methods for System of Delay Differential Equation

Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China

Received Date: 2003-04-22
Rev Recd Date: 2004-07-06
Publish Date: 2004-12-15

Abstract

Abstract

The stability analysis of the Rosenbrock method for the numerical solutions of system of delay differential equations was studied.The stability behavior of Rosenbrock method was analyzed for the solutions of linear test equation.The result that the Rosenbrock method is GP-stable if and only if it is A-stable is obtained.
- delay differential equation,
- Rosenbrock method,
- GP-stability

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References(19)

References

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