ON CONJUGATE SYMPLECTICITY OF MULTI-STEP METHODS

被引：0

作者：

Yi-fa Tang (LSEC

机构：

来源：

Journal of Computational Mathematics | 2000年 / 04期

基金：

中国国家自然科学基金;

关键词：

Conjugate symplecticity; Multi-step method;

D O I：

暂无

中图分类号：

TP301.6 [算法理论];

学科分类号：

081202 ;

摘要：

In this paper, we solve a problem on the existence of conjugate symplecticity of linear multi-step methods (LMSM), the negative result is obtained,

引用

页码：431 / 438

页数：8

共 50 条

[1] On conjugate symplecticity of multi-step methods
Tang, YF
[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 2000, 18 (04) : 431 - 438
[2] Conjugate symplecticity of second-order linear multi-step methods
Feng, Quan-Dong
Jiao, Yan-Dong
Tang, Yi-Fa
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 203 (01) : 6 - 14
[3] A note on symplecticity of step-transition mappings for multi-step methods
Dai, Gui-Dong
Tang, Yi-Fa
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 196 (02) : 474 - 477
[4] Multi-step nonlinear conjugate gradient methods for unconstrained minimization
John A. Ford
Yasushi Narushima
Hiroshi Yabe
[J]. Computational Optimization and Applications, 2008, 40 : 191 - 216
[5] Multi-step nonlinear conjugate gradient methods for unconstrained minimization
Ford, John A.
Narushima, Yasushi
Yabe, Hiroshi
[J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2008, 40 (02) : 191 - 216
[6] Non-existence of conjugate-symplectic multi-step methods of odd order
Jiao, Yandong
Dai, Guidong
Feng, Quandong
Tang, Yifa
[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 2007, 25 (06) : 690 - 696
[7] CONJUGATE-SYMPLECTICITY OF LINEAR MULTISTEP METHODS
Ernst Hairer
[J]. Journal of Computational Mathematics, 2008, 26 (05) : 657 - 659
[8] Conjugate-symplecticity of linear multistep methods
Hairer, Ernst
[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 2008, 26 (05) : 657 - 659
[9] G-symplecticity implies conjugate-symplecticity of the underlying one-step method
D'Ambrosio, R.
Hairer, E.
Zbinden, C. J.
[J]. BIT NUMERICAL MATHEMATICS, 2013, 53 (04) : 867 - 872
[10] G-symplecticity implies conjugate-symplecticity of the underlying one-step method
R. D’Ambrosio
E. Hairer
C. J. Zbinden
[J]. BIT Numerical Mathematics, 2013, 53 : 867 - 872

← 1 2 3 4 5 →