Singular Perturbation of Linear Algebraic Equations with Application to Stiff Equations

Lin Wu-zhong

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Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(6): 513-522

Lin Wu-zhong. Singular Perturbation of Linear Algebraic Equations with Application to Stiff Equations[J]. Applied Mathematics and Mechanics, 1987, 8(6): 513-522.

Citation:

Lin Wu-zhong. Singular Perturbation of Linear Algebraic Equations with Application to Stiff Equations[J]. Applied Mathematics and Mechanics, 1987, 8(6): 513-522.

Citation:

Lin Wu-zhong. Singular Perturbation of Linear Algebraic Equations with Application to Stiff Equations[J]. Applied Mathematics and Mechanics, 1987, 8(6): 513-522.

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Singular Perturbation of Linear Algebraic Equations with Application to Stiff Equations

Lin Wu-zhong

East China Normal University, Shanghai

Received Date: 1986-04-10
Publish Date: 1987-06-15

Abstract

Abstract

In this paper the singular perturbation problem of linear algebraic equations with a small parameter is presented by an example in practice.The existence and uniqueness theorem of its solution is proved by the perturbation method and the estimation of error for its approximate solution is given.Finally,the example mentioned above explaining how to apply the theory to solve the stiff equations is shown.

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References(3)

References

[1]	Nayfeh,A.H.,Introduction to Perturbation Techniques,John Wiley and Sons,New York(1981).
[2]	曹志浩、张玉德、李瑞遐编,《矩阵计算和方程求根》,高等教育出版社(1984).
[3]	J.M,奥特加著(张丽君等译),《数值分析》,高等教育出版社(1983).