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ON THE SOLVABILITY OF GENERAL LINEAR METHODS FOR DISSIPATIVE DYNAMICAL SYSTEMS 被引量:2

ON THE SOLVABILITY OF GENERAL LINEAR METHODS FOR DISSIPATIVE DYNAMICAL SYSTEMS
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摘要 The main purpose of the present paper is to examine the existence and local uniqueness of solutions of the implicit equations arising in the application of a weakly algebraically stable general linear methods to dissipative dynamical systems, and to extend the existing relevant results of Runge-Kutta methods by Humphries and Stuart(1994). [ABSTRACT FROM AUTHOR] The main purpose of the present paper is to examine the existence and local uniqueness of solutions of the implicit equations arising in the application of a weakly algebraically stable general linear methods to dissipative dynamical systems, and to extend the existing relevant results of Runge-Kutta methods by Humphries and Stuart(1994). [ABSTRACT FROM AUTHOR]
出处 《Journal of Computational Mathematics》 SCIE EI CSCD 2000年第6期633-638,共6页 计算数学(英文)
基金 a grant !(No. 19871070) from NSF of China a grant!(No. A757D9I0) from Academy of Mathematics and System Sciences, Academy o
关键词 general linear methods dissipative dynamical systems weak algebraic stability SOLVABILITY general linear methods dissipative dynamical systems weak algebraic stability solvability
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参考文献10

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二级参考文献4

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