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《应用数学和力学(英文版)》 2002-07
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THE MULTI-SYMPLECTIC ALGORITHM FOR "GOOD" BOUSSINESQ EQUATION

ZENG Wen-ping , HUANG Lang-yang , QIN Meng-zhao (1.Department of Mathematics, Huaqiao University, Quanzhou 362011, P R China; 2.The State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics and Scientific/ Enginee  
The multi-symplectic formulations of the "Good" Boussinesq equation were considered. For the multi-symplectic formulation, a new fifteen-point difference scheme which is equivalent to the multi-symplectic Preissman integrator was derived. The numerical experiments show that the multi-symplectic scheme have excellent long-time numerical behavior.
【Fund】: theFoundationforKeyLaboratoryofScientific /EngineeringComputingIn stituteofComputationalMathematicsandScientific/EngineeringComputing ;;ChineseAcademyofSci ences;theNaturalScienceFoundationofHuaqiaoUniversity
【CateGory Index】: O241.82
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【References】
Chinese Journal Full-text Database 2 Hits
1 ZHENG Xiao-hong,et al(College of Mathematics and Information Science of University,Jiaxing,314001 China);Muti-symplectic Scheme and Conservation Laws of Nonlinear Schrdinger Equation with Wave Operator[J];Journal of Yichun University;2005-06
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【Co-citations】
Chinese Journal Full-text Database 3 Hits
1 Zhen Han (Department of Computer Science and Technology, Northern Jiaotong University, Beijing 100044, China)Long-jun Shen (Institute of Applied Physics and Computational Mathematics, Beijing 100088, China);A FAMILY OF DIFFERENCE SCHEMES WITH FOUR NEAR-CONSERVED QUANTITIES FOR THE KdV EQUATION[J];计算数学(英文版);1998-02
2 Lang-yang Huang Wen-ping Zeng (Department of Mathematics, Huaqiao University, Quanzhou 362011, China] Meng-zhao Qin (LSEC, ICMSEC, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China);A NEW MULTI-SYMPLECTIC SCHEME FOR NONLINEAR“GOOD”BOUSSINESQ EQUATION[J];计算数学(英文版);2003-06
3 ZENG Wen_ping 1, HUANG Lang_yang 1, QIN Meng_zhao 2 (1 Department of Mathematics, Huaqiao University, Quanzhou, Fujian 362011, P R China; 2 The State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics and;The Multi-Symplectic Algorithm for "Good" Boussinesq Equation[J];Applied Mathematics and Mechanics;2002-07
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1 Jing-Bo Chen~*,Hong Liu Institute of Geology and Geophysics,Chinese Academy of Sciences,P.O.Box 9825,Beijing 100029,People's Republic of China;Derivation of Lagrangian density for the“good”Boussinesq equation and multisymplectic disretizations[A];[C];2009
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Chinese Journal Full-text Database 3 Hits
1 Liang Zongqi (Luliang Teacher's College, Shanxi) Lu Bainan (Shanxi Normal University);THE QUASI-SPECTRUM METHOD FOR NON-LINEAR SCHRDINGER EQUATION WITH WAVE OPERATOR[J];NUMERICAL MATHEMATIES A JOURNAL OF CHINESE UNIVERSITIES;1999-03
2 Liang Zongqi (Luliang Teacher's College,Lishi 033000)Zhang Fayong (Heilongjiang University, Harbin 150080);The Finite Difference Method for Non-Linear Schrdinger Equation with Wave Operator[J];JOURNAL OF NATURAL SCIENCE OF HEILONGJIANG UNIVERSITY;1998-01
3 Yu-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;Multisyrnplectic Structure and Multisymplectic Scheme for the Nonlinear Wave Equation[J];应用数学学报(英文版);2002-01
【Secondary References】
Chinese Journal Full-text Database 1 Hits
1 Hu Weipeng~1' Deng Zichen~(1,3) Han Songying~4 Fan Wei~2 (1.School of Mechanics,Civil Engineering and Architecture,Northwestern Polytechnincal University,Xi'an,Shaanxi 710072,China) (2.School of Power and Energy,Northwestern Polytechnincal University,Xi' an,Shaanxi 710072,China) (3.State Key Laboratory of Structural Analysis of Industrial Equipment,Dalian University of Technology,Dalian,Liaoning 116023,China) (4.School of Materials Science and Engineering;Shaanxi University of Technology;Hanzhong,Shaanxi 723003,China);MULTI-SYMPLECTIC METHOD FOR THE NONLINEAR VIBRATING STRING EQUATION[J];Journal of Dynamics and Control;2009-02
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