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Structure-Preserving Numerical Methods for Stochastic Poisson Systems 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 3, 页码: 802-830
作者:  Hong, Jialin;  Ruan, Jialin;  Sun, Liying;  Wang, Lijin
收藏  |  浏览/下载：132/0  |  提交时间：2021/04/26
Stochastic Poisson systems  Poisson structure  Casimir functions  Poisson integrators  symplectic integrators  generating functions  stochastic rigid body system  
Drift-preserving numerical integrators for stochastic Hamiltonian systems 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2020, 卷号: 46, 期号: 2, 页码: 22
作者:  Chen, Chuchu;  Cohen, David;  D'Ambrosio, Raffaele;  Lang, Annika
收藏  |  浏览/下载：161/0  |  提交时间：2020/05/24
Stochastic differential equations  Stochastic Hamiltonian systems  Energy  Trace formula  Numerical schemes  Strong convergence  Weak convergence  Multilevel Monte Carlo  
Multi-symplectic preserving integrator for the Schrodinger equation with wave operator 期刊论文
APPLIED MATHEMATICAL MODELLING, 2015, 卷号: 39, 期号: 22, 页码: 6817-6829
作者:  Wang, Lan;  Kong, Linghua;  Zhang, Liying;  Zhou, Wenying;  Zheng, Xiaohong
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
Schrodinger equation with wave operator  Multi-symplectic integrator  Conservation laws  
THE L-1-ERROR ESTIMATES FOR A HAMILTONIAN-PRESERVING SCHEME FOR THE LIOUVILLE EQUATION WITH PIECEWISE CONSTANT POTENTIALS AND PERTURBED INITIAL DATA 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2011, 卷号: 29, 期号: 1, 页码: 26-48
作者:  Wen, Xin
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
Liouville equations  Hamiltonian preserving schemes  Piecewise constant potentials  Error estimate  Perturbed initial data  Semiclassical limit  
Symplectic integrator for nonlinear high order Schrodinger equation with a trapped term 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 231, 期号: 2, 页码: 664-679
作者:  Kong, Linghua;  Hong, Jialin;  Wang, Lan;  Fu, Fangfang
收藏  |  浏览/下载：112/0  |  提交时间：2018/07/30
Schrodinger equation  Symplectic scheme  Conservation law  Trapped term  
THE l(1)-STABILITY OF A HAMILTONIAN-PRESERVING SCHEME FOR THE LIOUVILLE EQUATION WITH DISCONTINUOUS POTENTIALS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 卷号: 27, 期号: 1, 页码: 45-67
作者:  Wen, Xin;  Jin, Shi
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
Liouville equations  Hamiltonian preserving schemes  Discontinuous potentials  l(1)-stability  Semiclassical limit  
Long-term numerical simulation of the interaction between a neutron field and a neutral meson field by a symplectic-preserving scheme 期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 卷号: 41, 期号: 25, 页码: 19
作者:  Kong, Linghua;  Hong, Jialin;  Liu, Ruxun
收藏  |  浏览/下载：69/0  |  提交时间：2018/07/30
The l(1)-error estimates for a Hamiltonian-preserving scheme for the Liouville equation with piecewise constant potentials 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 卷号: 46, 期号: 5, 页码: 2688-2714
作者:  Wen, Xin;  Jin, Shi
收藏  |  浏览/下载：89/0  |  提交时间：2018/07/30
Liouville equations  Hamiltonian preserving schemes  piecewise constant potentials  error estimate  half order error bound  semiclassical limit  
Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation 期刊论文
WAVE MOTION, 2006, 卷号: 43, 期号: 8, 页码: 667-688
作者:  Jin, Shi;  Wen, Xin
收藏  |  浏览/下载：108/0  |  提交时间：2018/07/30
geometrical optics  reduced Liouville equation  level set method  Hamiltonian-preserving schemes  Snell's law of refraction  
A Hamiltonian-preserving scheme for the Liouville equation of geometrical optics with partial transmissions and reflections 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2006, 卷号: 44, 期号: 5, 页码: 1801-1828
作者:  Jin, Shi;  Wen, Xin
收藏  |  浏览/下载：67/0  |  提交时间：2018/07/30
geometrical optics  Liouville equation  transmission and reflection  Hamiltonian-preserving schemes