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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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Positivity-preserving symplectic methods for the stochastic Lotka-Volterra predator-prey model
期刊论文
BIT NUMERICAL MATHEMATICS, 2021, 页码: 28
Authors:
Hong, Jialin
;
Ji, Lihai
;
Wang, Xu
;
Zhang, Jingjing
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View/Download:77/0
  |  
Submit date:2022/04/02
Stochastic Lotka-Volterra predator-prey model
Positivity
Stochastic symplecticity
Structure-preserving methods
Convergence order conditions
RUNGE-KUTTA SEMIDISCRETIZATIONS FOR STOCHASTIC MAXWELL EQUATIONS WITH ADDITIVE NOISE
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 2, 页码: 702-727
Authors:
Chen, Chuchu
;
Hong, Jialin
;
Ji, Lihai
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View/Download:119/0
  |  
Submit date:2020/01/10
stochastic Maxwell equations
stochastic Runge-Kutta semidiscretization
stochastic symplecticity
mean-square convergence order
MEAN-SQUARE CONVERGENCE OF A SEMIDISCRETE SCHEME FOR STOCHASTIC MAXWELL EQUATIONS
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 2, 页码: 728-750
Authors:
Chen, Chuchu
;
Hong, Jialin
;
Ji, Lihai
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View/Download:115/0
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Submit date:2020/01/10
mean-square convergence order
semidiscrete scheme
stochastic Maxwell equations
regularity
Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrodinger equation
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 127, 页码: 164-178
Authors:
Hong, Jialin
;
Ji, Lihai
;
Liu, Zhihui
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View/Download:125/0
  |  
Submit date:2018/07/30
Nonlinear Schrodinger equation
Optimal error estimates
Charge conservation law
Local discontinuous Galerkin method
Generalized alternating numerical flux
An energy-conserving method for stochastic Maxwell equations with multiplicative noise
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 351, 页码: 216-229
Authors:
Hong, Jialin
;
Ji, Lihai
;
Zhang, Liying
;
Cai, Jiaxiang
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View/Download:187/0
  |  
Submit date:2018/07/30
Energy-conserving method
Three-dimensional stochastic Maxwell equations
Multiplicative noise
Geometric structure
Optimal error estimate of a compact scheme for nonlinear Schrodinger equation
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2017, 卷号: 120, 页码: 68-81
Authors:
Hong, Jialin
;
Ji, Lihai
;
Kong, Linghua
;
Wang, Tingchun
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View/Download:87/0
  |  
Submit date:2018/07/30
Nonlinear Schrodinger equation
Compact scheme
Symplectic scheme
Energy conservation
Optimal error estimate
Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrodinger equation
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2017, 卷号: 37, 期号: 2, 页码: 1041-1065
Authors:
Chen, Chuchu
;
Hong, Jialin
;
Ji, Lihai
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View/Download:94/0
  |  
Submit date:2018/07/30
symplectic method
local discontinuous Galerkin method
stochastic linear Schrodinger equation
L-2-stability
charge conservation law
mean-square convergence
A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations
期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 21, 期号: 1, 页码: 93-125
Authors:
Chen, Chuchu
;
Hong, Jialin
;
Ji, Lihai
;
Kong, Linghua
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View/Download:108/0
  |  
Submit date:2018/07/30
Coupled stochastic nonlinear Schrodinger equations
compact scheme
stochastic multi-symplectic conservation law
energy evolution law
charge conservation law
soliton evolution
soliton interaction
Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary
期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 卷号: 439, 期号: 1, 页码: 256-270
Authors:
Hong, Jialin
;
Ji, Lihai
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  |  
View/Download:91/0
  |  
Submit date:2018/07/30
Energy evolution
Maxwell equations
Perfectly matched layer
Multi-symplectic Yee method
Multi-symplectic Runge-Kutta methods
Compact and Efficient Conservative Schemes for Coupled Nonlinear Schrodinger Equations
期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2015, 卷号: 31, 期号: 6, 页码: 1814-1843
Authors:
Kong, Linghua
;
Hong, Jialin
;
Ji, Lihai
;
Zhu, Pengfei
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View/Download:68/0
  |  
Submit date:2018/07/30
conservation law
computational efficiency
coupled nonlinear Schrodinger equation
highorder compact method