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Quantum Implementation of Numerical Methods for Convection-Diffusion Equations: Toward Computational Fluid Dynamics
期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2, 2023, 卷号: 33, 页码: 425-451
作者:
Liu BF(刘宝峰)
;
Zhu LX(朱力行)
;
Yang ZX(杨子轩)
;
He GW(何国威)
收藏
  |  
浏览/下载:16/0
  |  
提交时间:2023/06/15
Quantum computing
partial differential equations
computational fluid dynamics
finite difference
finite element
Optimal Control in a Bounded Domain for Wave Propagating in the Whole Space: Coupling Through Boundary Integral Equations
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 92, 期号: 3, 页码: 52
作者:
Gong, Wei
;
Li, Buyang
;
Yang, Huanhuan
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  |  
浏览/下载:10/0
  |  
提交时间:2023/02/07
Wave equation
Unbounded domain
Boundary integral equation
Well-posedness
Convolution quadrature
Stability
Convergence
Error estimate
Understanding the acceleration phenomenon via high-resolution differential equations
期刊论文
MATHEMATICAL PROGRAMMING, 2022, 卷号: 195, 期号: 1-2, 页码: 79-148
作者:
Shi, Bin
;
Du, Simon S.
;
Jordan, Michael, I
;
Su, Weijie J.
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  |  
浏览/下载:9/0
  |  
提交时间:2023/02/07
Convex optimization
First-order method
Polyak's heavy ball method
Nesterov's accelerated gradient methods
Ordinary differential equation
Lyapunov function
Gradient minimization
Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 163, 页码: 126-146
作者:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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  |  
浏览/下载:56/0
  |  
提交时间:2021/04/26
Fractional optimal control problem
Numerical discretizations
Block two-by-two linear system
Preconditioning
Spectral bounds
Krylov subspace iteration methods
Convergence property
The immersed boundary-lattice Boltzmann method for solving solid-fluid interaction problem with Navier-slip boundary condition
期刊论文
COMPUTERS & FLUIDS, 2021, 卷号: 217, 页码: 10
作者:
Wang, Zhenyu
;
He, Qiaolin
;
Huang, Jizu
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  |  
浏览/下载:16/0
  |  
提交时间:2021/04/26
Solid-fluid interaction problem
Lattice Boltzmann equations
Navier-slip boundary condition
Immerse boundary method
A superlinear convergence scheme for the multi-term and distribution-order fractional wave equation with initial singularity
期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 页码: 16
作者:
Huang, Jianfei
;
Zhang, Jingna
;
Arshad, Sadia
;
Tang, Yifa
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  |  
浏览/下载:48/0
  |  
提交时间:2021/04/26
distribution-order derivative
fractional wave equations
initial singularity
multi-term fractional derivatives
superlinear convergence
On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations
期刊论文
BIT NUMERICAL MATHEMATICS, 2019, 卷号: 59, 期号: 1, 页码: 1-33
作者:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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  |  
浏览/下载:24/0
  |  
提交时间:2019/12/13
Matrix splitting
Iteration method
Convergence property
Spatial fractional diffusion equation
Discrete Fourier transform based frequency characteristics of iterative learning control for linear discrete-time systems
期刊论文
ADVANCES IN DIFFERENCE EQUATIONS, 2019
作者:
Li, Xiaohui
;
Ruan, Xiaoe
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浏览/下载:3/0
  |  
提交时间:2019/11/19
Linear discrete systems
Monotone convergence
Discrete Fourier transform
Iterative learning control
Power formula
Bifurcation, chaos analysis and control in a discrete-time predator-prey system
期刊论文
ADVANCES IN DIFFERENCE EQUATIONS, 2019
作者:
Liu, Weiyi
;
Cai, Donghan
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  |  
浏览/下载:4/0
  |  
提交时间:2019/12/05
Predator-prey model
Local stability
Neimark-Sacker bifurcation
Marotto's chaos
Bifurcation control
Chaos control
Region stability of linear stochastic discrete systems with time-delays
期刊论文
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 卷号: 2019, 期号: 1
作者:
Li, Gang
;
Gao, Yuxia
;
Chen, Ming
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  |  
浏览/下载:3/0
  |  
提交时间:2019/12/11
Region-stability
Time-delay
Discrete stochastic system
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