Total Variation and Multisymplectic Structure for CNLS System
被引量:1
Total Variation and Multisymplectic Structure for CNLS System
基金
The project supported by National Natural Science Foundation of China under Grant Nos. 10401033 and 10471145 and the Key Project of Knowledge Innovation of CAS under Grant No. KZCX1-SW-18
参考文献17
-
1J.E. Marsden and S. Shkoller, Math. Proc. Camb. Phil.Soc. 125 (1999) 553.
-
2H.Y. Guo, Y.Q. Li, and K. Wu, Commun. Theor. Phys.(Beijing, China) 35 (2001) 703.
-
3H.Y. Guo and K. Wu, J. Math. Phys. 44 (2003) 5978;hep-th/0112239.
-
4H.Y. Guo, Y.Q. Li, K. Wu, and S.K. Wang, Commun.Theor. Phys. (Beijing, China) 37 (2002) 257; mathph/0106001.
-
5J.B. Chen, H.Y. Guo, and K. Wu, J. Math. Phys. 44(2003) 1688; hep-th/0111185.
-
6P.F. Zhao and M.Z. Qin, J. Phys. A. Math. Gen. 33(2000) 3613.
-
7M. Gotay, J. Isenberg, and J.E. Marsden, "Momentum Maps and the Hamiltonian Structure of Classical Relativistic Field Theories", www.arxiv.org (2004) mathph/0411032.
-
8J. Yang, Phys. Rev. E 59 (1997) 2393.
-
9D.E. Betounes, Phys. Rev. E 29 (1984) 599.
-
10Y.F. Tang, L. Vazquez, F. Zhang, and V.M. Perez-Garcia,Comp. Math. Applic. 32 (1996) 73.
同被引文献33
-
1WANG Yushun, WANG Bin & QIN MengzhaoLASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China,School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, China,School of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100080, China.Concatenating construction of the multisymplectic schemes for 2+1-dimensional sine-Gordon equation[J].Science China Mathematics,2004,47(1):18-30. 被引量:17
-
2HU WeiPeng,DENG ZiChen,HAN SongMei,FAN Wei.The complex multi-symplectic scheme for the generalized sinh-Gordon equation[J].Science China(Physics,Mechanics & Astronomy),2009,52(10):1618-1623. 被引量:2
-
3WANG YuShun,WANG Bin,QIN MengZhao.Local structure-preserving algorithms for partial differential equations[J].Science China Mathematics,2008,51(11):2115-2136. 被引量:10
-
4WANG Yushun~(1,2), WANG Bin~1, YANG Hongwei~1 & WANG Yunfeng~1 1. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029. China,2. Permanent address: School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097. China.Multisymplectic five-point scheme for the nonlinear wave equation[J].Chinese Science Bulletin,2003,48(S2):24-29. 被引量:1
-
5Ya-juanSun Meng-zhaoQin.A MULTI-SYMPLECTIC SCHEME FOR RLW EQUATION[J].Journal of Computational Mathematics,2004,22(4):611-621. 被引量:3
-
6LUOXu-Dong,GUOHan-Ying,LIYu-Qi,WUKe.Difference Discrete Variational Principle in Discrete Mechanics and Symplectic Algorithm[J].Communications in Theoretical Physics,2004,42(3X):443-452. 被引量:5
-
7孙建强,马中骐,秦孟兆.具有Gilbert项的Landau-Lifshitz方程的显式平方守恒格式[J].应用数学和力学,2005,26(1):67-71. 被引量:2
-
8陈景波.A Multisymplectic Variational Framework for the Nonlinear Elastic Wave Equation[J].Chinese Physics Letters,2006,23(2):320-323. 被引量:2
-
9Jian Wang.MULTISYMPLECTIC FOURIER PSEUDOSPECTRAL METHOD FOR THE NONLINEAR SCHR■DINGER EQUATIONS WITH WAVE OPERATOR[J].Journal of Computational Mathematics,2007,25(1):31-48. 被引量:12
-
10胡伟鹏,邓子辰,李文成.Multi-symplectic methods for membrane free vibration equation[J].Applied Mathematics and Mechanics(English Edition),2007,28(9):1181-1189. 被引量:3
二级引证文献18
-
1王兰,符芳芳,童慧.Dirac方程分裂步多辛格式[J].江西师范大学学报(自然科学版),2013,37(5):462-465. 被引量:3
-
2童慧,孔令华,王兰.Dirac方程的紧致分裂多辛格式[J].江西师范大学学报(自然科学版),2014,38(5):521-525. 被引量:4
-
3林超英,黄浪扬,赵越,朱贝贝.带三次项的非线性四阶Schrdinger方程的一个局部能量守恒格式[J].计算数学,2015,37(1):103-112. 被引量:1
-
4周文英,孔令华,王兰,符芳芳.3维Maxwell方程局部1维多辛格式的能量恒等式[J].江西师范大学学报(自然科学版),2015,39(1):55-58. 被引量:2
-
5Junjie Wang.MULTI-SYMPLECTIC FOURIER PSEUDOSPECTRAL METHOD FOR A HIGHER ORDER WAVE EQUATION OF KDV TYPE[J].Journal of Computational Mathematics,2015,33(4):379-395. 被引量:2
-
6鞠巍,王雨顺,张雨泽.非线性Schrdinger方程两个新的多辛格式[J].高等学校计算数学学报,2015,37(3):203-227.
-
7孔令华.哈密尔顿系统的分裂步多辛数值积分(英文)[J].江西师范大学学报(自然科学版),2015,39(5):507-513. 被引量:1
-
8王俊杰.一类DGH方程的新保结构算法研究[J].大连理工大学学报,2016,56(4):432-440.
-
9李胜平,王连堂,王俊杰.一类DGH方程的多辛Preissmann格式[J].四川师范大学学报(自然科学版),2016,39(5):696-704.
-
10Haochen Li,Yushun Wang,Mengzhao Qin.A SIXTH ORDER AVERAGED VECTOR FIELD METHOD[J].Journal of Computational Mathematics,2016,34(5):479-498. 被引量:1
-
1BAIYong-Qiang,LIUZhen,PEIMing,ZHENGZhu-Jun.Multisymplectic Structure-Preserving in Simple Finite Element Method in High Dimensional Case[J].Communications in Theoretical Physics,2003,40(1X):1-8. 被引量:2
-
2CHENQINGHUI ZHANGBAOCAI.THE NEW INTEGRABLE SYSTEM OF THE COMPLEX FORM AND THECOUPLED MKDV HIERARCHY[J].Applied Mathematics(A Journal of Chinese Universities),1997,12(1):61-66.
-
3Yu-shun WANG, Meng-zhao QINLASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, ChinaInstitute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China.Multisymplectic Structure and Multisymplectic Scheme for the Nonlinear Ware Equation[J].Acta Mathematicae Applicatae Sinica,2002,18(1):169-176.
-
4JIN Zheng-meng LI Zhi-xin.A Fast Total Variation Algorithm for Multiplicative Noise Removal[J].南京邮电大学学报(自然科学版),2011,31(5):124-128.
-
5Xiao, AG,Li, SF,Yang, M.QUADRATIC INVARIANTS AND SYMPLECTIC STRUCTURE OF GENERAL LINEAR METHODS[J].Journal of Computational Mathematics,2001,19(3):269-280.
-
6Jianxin Shi,Weiwei Xu,Guozhu Sun,Jiquan Zhai,Zhican Du,Lin Wang,Tao Hua,Jian Chen,Lin Kang,Peiheng Wu.Dynamics of a qubit—TLS system under resonant microwave driving[J].Chinese Science Bulletin,2014,59(21):2547-2551.
-
7DU Dian-lou,MA Yun-ling.The Rigid Body Type Poisson Structure for the Constrained NLS System[J].Chinese Quarterly Journal of Mathematics,2005,20(3):232-237.
-
8Rui Yan ZHANG,Fang Fang XU,Jian Chao HUANG.Reconstructing Local Volatility Using Total Variation[J].Acta Mathematica Sinica,English Series,2017,33(2):263-277.
-
9高平,郭柏灵.SMALE HORSESHOES AND CHAOS IN DISCRETIZED PERTURBED NLS SYSTEMS(Ⅰ)—POINCAR MAP[J].Applied Mathematics and Mechanics(English Edition),2005,26(11):1402-1408.
-
10孔新雷,吴惠彬,梅凤翔.Structure-preserving algorithms for autonomous Birkhoffian systems[J].Journal of Beijing Institute of Technology,2012,21(1):1-7.