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1

Volume-preserving schemes and applications

Qin Meng-Zhao, Zhu Wen-Jie

Journal:

Chaos, Solitons & Fractals

Year:

1993

Language:

english

File:

PDF, 538 KB

english, 1993

2

Numerical simulations of collision behaviors of optical solitons in birefringent fibres

Jian-Qiang Sun, Meng-Zhao Qin, Hua Wei, Dai Gui Dong

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2009

Language:

english

File:

PDF, 5.66 MB

english, 2009

3

Symplectic Schemes for Birkhoffian System

Hong-Ling, Su, Meng-Zhao, Qin

Journal:

Communications in Theoretical Physics

Year:

2004

Language:

english

File:

PDF, 203 KB

english, 2004

4

A multisymplectic variational integrator for the nonlinear Schrödinger equation

Jing-Bo Chen, Meng-Zhao Qin

Journal:

Numerical Methods for Partial Differential Equations

Year:

2002

Language:

english

File:

PDF, 106 KB

english, 2002

5

Hamiltonian algorithms for Hamiltonian systems and a comparative numerical study

Feng Kang, Qin Meng-zhao

Journal:

Computer Physics Communications

Year:

1991

Language:

english

File:

PDF, 878 KB

english, 1991

6

An implicit scheme for nonlinear evolution equations

Journal:

Journal of Computational Physics

Year:

1982

Language:

english

File:

PDF, 592 KB

english, 1982

7

Multi-stage symplectic schemes of two kinds of Hamiltonian systems for wave equations

Qin Meng-Zhao, Zhang Mei-Qing

Journal:

Computers & Mathematics with Applications

Year:

1990

Language:

english

File:

PDF, 462 KB

english, 1990

8

Canonical Runge-Kutta-Nyström (RKN) methods for second order ordinary differential equations

Meng-Zhao Qin, Wen-Jie Zhu

Journal:

Computers & Mathematics with Applications

Year:

1991

Language:

english

File:

PDF, 427 KB

english, 1991

9

Explicit symplectic schemes to solve vortex systems

Mei-Qing Zhang, Meng-Zhao Qin

Journal:

Computers & Mathematics with Applications

Year:

1993

Language:

english

File:

PDF, 417 KB

english, 1993

10

Constructing higher order schemes by formal power series

Wen-Jie Zhu, Meng-Zhao Qin

Journal:

Computers & Mathematics with Applications

Year:

1993

Language:

english

File:

PDF, 405 KB

english, 1993

11

Order conditions of two kinds of canonical difference schemes

Wen-Jie Zhu, Meng-Zhao Qin

Journal:

Computers & Mathematics with Applications

Year:

1993

Language:

english

File:

PDF, 707 KB

english, 1993

12

RKMK method of solving non-damping LL equations and ferromagnet chain equations

Jian-Qiang Sun, Zhong-Qi Ma, Meng-Zhao Qin

Journal:

Applied Mathematics and Computation

Year:

2004

Language:

english

File:

PDF, 456 KB

english, 2004

13

New conservation schemes for the nonlinear Schrödinger equation

Jian-Qiang Sun, Zhong-Qi Ma, Wei Hua, Meng-Zhao Qin

Journal:

Applied Mathematics and Computation

Year:

2006

Language:

english

File:

PDF, 178 KB

english, 2006

14

Simulation of envelope Rossby solitons in a pair of cubic Schrödinger equations

Jian-Qiang Sun, Zhong-Qi Ma, Meng-Zhao Qin

Journal:

Applied Mathematics and Computation

Year:

2006

Language:

english

File:

PDF, 605 KB

english, 2006

15

Multi-symplectic methods for the coupled 1D nonlinear Schrödinger system

Jian-Qiang Sun, Meng-Zhao Qin

Journal:

Computer Physics Communications

Year:

2003

Language:

english

File:

PDF, 719 KB

english, 2003

16

Explicit symplectic schemes for investigating the evolution of vortices in a rotating Bose–Einstein Condensate

Yi-Min Tian, Meng-Zhao Qin

Journal:

Computer Physics Communications

Year:

2003

Language:

english

File:

PDF, 612 KB

english, 2003

17

Multisymplecticity of the centred box discretization for hamiltonian PDEs with m ≥ 2 space dimensions

Jialin Hong, Meng-Zhao Qin

Journal:

Applied Mathematics Letters

Year:

2002

Language:

english

File:

PDF, 463 KB

english, 2002

18

Symplectic and multi-symplectic methods for the nonlinear Schrödinger equation

Jing-Bo Chen, Meng-Zhao Qin, Yi-Fa Tang

Journal:

Computers & Mathematics with Applications

Year:

2002

Language:

english

File:

PDF, 725 KB

english, 2002

19

Explicit Runge-Kutta-like schemes to solve certain quantum operator equations of motion

Qin Meng-Zhao, Zhang Mei-Qing

Journal:

Journal of Statistical Physics

Year:

1990

Language:

english

File:

PDF, 188 KB

english, 1990

20

Construction of higher order symplectic schemes by composition

Qin Meng-Zhao, Zhu Wen-Jie

Journal:

Year:

1992

Language:

english

File:

PDF, 541 KB

english, 1992

21

Explicit square conserving schemes of Landau-Lifshitz equation with Gilbert component

Sun Jian-qiang, Ma Zhong-qi, Qin Meng-zhao

Journal:

Applied Mathematics and Mechanics

Year:

2005

Language:

english

File:

PDF, 265 KB

english, 2005

22

The multi-symplectic algorithm for “Good” Boussinesq equation

Zeng Wen-ping, Huang Lang-yang, Qin Meng-zhao

Journal:

Applied Mathematics and Mechanics

Year:

2002

Language:

english

File:

PDF, 381 KB

english, 2002

23

Multisymplectic Structure and Multisymplectic Scheme for the Nonlinear Wave Equation

Yu-shun Wang, Meng-zhao Qin

Journal:

Acta Mathematicae Applicatae Sinica, English Series

Year:

2002

Language:

english

File:

PDF, 2.17 MB

english, 2002

24

Variational Description for the Generating Function Method of First Kind

Ya-Juan Sun, Meng-Zhao Qin

Journal:

Acta Mathematicae Applicatae Sinica, English Series

Year:

2002

Language:

english

File:

PDF, 140 KB

english, 2002

25

A note on stability of a three-stage difference scheme for ordinary differential equations

Meng-Zhao Qin, Wen-Jei Zhu

Journal:

Computers & Mathematics with Applications

Year:

1993

Language:

english

File:

PDF, 496 KB

english, 1993

26

Symplectic structure of poisson system

Jian-qiang Sun, Zhong-qi Ma, Yi-min Tian, Meng-zhao Qin

Journal:

Applied Mathematics and Mechanics

Year:

2005

Language:

english

File:

PDF, 658 KB

english, 2005

27

New explicit multi-symplectic scheme for nonlinear wave equation

Li, Hao-chen, Sun, Jian-qiang, Qin, Meng-zhao

Journal:

Applied Mathematics and Mechanics

Year:

2014

Language:

english

File:

PDF, 336 KB

english, 2014

28

Square-Conservative Schemes for a Class of Evolution Equations Using Lie-Group Methods

Chen, Jing-Bo, Munthe-Kaas, Hans, Qin, Meng-Zhao

Journal:

SIAM Journal on Numerical Analysis

Year:

2002

Language:

english

File:

PDF, 302 KB

english, 2002

29

Bäcklund Transformations for the Initial Problems of Nizhnich and Nizhnich-Novikov-Veselov Equations

Hong-Ling, Su, Ming-Liang, Wang, Meng-Zhao, Qin

Journal:

Communications in Theoretical Physics

Year:

2003

Language:

english

File:

PDF, 214 KB

english, 2003

30

Square-Conservative Schemes for a Class of Evolution Equations Using Lie-Group Methods

Jing-Bo Chen, Hans Munthe-Kaas and Meng-Zhao Qin

Journal:

SIAM Journal on Numerical Analysis

Year:

2002

Language:

english

File:

PDF, 401 KB

english, 2002