| 一类含有稳定参数的Gear型隐式方式 |
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| 引用本文： | 刘发旺.一类含有稳定参数的Gear型隐式方式[J].福州大学学报(自然科学版),1989(3):12-16. |
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| 作者姓名： | 刘发旺 |
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| 作者单位： | 福州大学计算机系 |
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| 摘 要： | 本文导出解ｓｔｉｆｆ方程的一类含有稳定参数Ｓ的Ｋ步Ｋ阶的ｓｔｉｆｆ稳定的Ｇｅａｒ型隐式方法，我们可以通过适当选取参数Ｓ，改进其绝对稳定性。保证零稳定和无穷远稳定．它比相应的Ｇｅａｒ方法［１］。变更的Ｇｅａｒ方法［３］和Ｅｎｒｉｇｈｔ方法［２］有更大的绝对稳定域，并且构造方便，计算简单。
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| 关 键 词： | stiff方程 零稳定 无穷远稳定 绝对稳定性区域 |
A Class of Gear Implict Methods with Stable Parameter |
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| Liu Fawang.A Class of Gear Implict Methods with Stable Parameter[J].Journal of Fuzhou University(Natural Science Edition),1989(3):12-16. |
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| Authors: | Liu Fawang |
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| Institution: | Depertment of Computer Science |
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| Abstract: | A class of Gear implicit methods with stable parameter S that are of K order stiffly stable K step methods has been derived for the solutiou of stiff equations. The parameter S can be appropriately chosen so as to improve abso - lute stability and to assure- zero-stability as well as infinite stability. Its sta - bility regions are latger than corresponding Gear's method, modified Gear's me- thod and-Enright's method, and with much constructing convenience and compu - ting simplicity. |
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| Keywords: | stiff equation zero-stability infinite stability region of absolute stability |
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