On Construction of High Order Exponentially Fitted Methods Based on Parameterized Rational Approximations to exp(<em>q</em>)

Yang Fengjian; Zhang Aiguo; Chen Xinming

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Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(9): 955-960

Yang Fengjian, Zhang Aiguo, Chen Xinming. On Construction of High Order Exponentially Fitted Methods Based on Parameterized Rational Approximations to exp(q)[J]. Applied Mathematics and Mechanics, 1999, 20(9): 955-960.

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On Construction of High Order Exponentially Fitted Methods Based on Parameterized Rational Approximations to exp(q)

1.
Zhongkai Agrotechnical College, Guangzhou 510225, P. R. China;
2.
Xiangtan Institute of Machinery and Electricity, Xiangtan 411101, P. R. China;
3.
Department of Mathematics and Physics, Wuyi University, Jiangmen 529042, P. R. China

Received Date: 1997-09-11
Rev Recd Date: 1999-05-08
Publish Date: 1999-09-15

Abstract

Abstract

By the discussion of the formula and properties of(4,4) parametric form rational approximation to function exp(q),the fourth order derivative one-step exponentially fitted method and the third order derivative hybrid one-step exponentially fitted method are presented,their order p satisfying 6≤p≤8.The necessary and sufficient conditions for the two methods to be A-stable are given.Finally,for the fourth order derivative method,the error bound and the necessary and sufficient conditions for it to be median are discussed.
- exponentially fitted method,
- order,
- A-stability

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References(6)

References

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