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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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Symmetric-Adjoint and Symplectic-Adjoint Runge-Kutta Methods and Their Applications
期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2022, 页码: 32
Authors:
Sun, Geng
;
Gan, Siqing
;
Liu, Hongyu
;
Shang, Zaijiu
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View/Download:79/0
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Submit date:2022/04/02
Key words
Runge-Kutta method
symmetric
symplectic
adjoint
high-order
explicit method
Finite Element Error Estimation for Parabolic Optimal Control Problems with Pointwise Observations
期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 页码: 35
Authors:
Liang, Dongdong
;
Gong, Wei
;
Xie, Xiaoping
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View/Download:77/0
  |  
Submit date:2022/04/02
Parabolic optimal control problem
pointwise observation
space-time finite element method
parabolic PDE with Dirac measure
error estimate
Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains
期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 4, 页码: 920-944
Authors:
Xi, Yingxia
;
Ji, Xia
;
Zhang, Shuo
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View/Download:73/0
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Submit date:2022/04/02
Multilevel mixed element method
fourth order eigenvalue problem
multi-connected planar domain
A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates
期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 2, 页码: 488-507
Authors:
Mohanty, R. K.
;
Yuan, Li
;
Sharma, Divya
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View/Download:116/0
  |  
Submit date:2021/04/26
Half-step discretization
compact scheme in exponential form
two-level implicit scheme
Burgers' equation
Navier-Stokes equations of motion
Taylor-vortex problem
Convergence and Stability of the Truncated Euler-Maruyama Method for Stochastic Differential Equations with Piecewise Continuous Arguments
期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 1, 页码: 194-218
Authors:
Geng, Yidan
;
Song, Minghui
;
Lu, Yulan
;
Liu, Mingzhu
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View/Download:126/0
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Submit date:2021/01/14
Stochastic differential equations with piecewise continuous argument
local Lipschitz condition
Khasminskii-type condition
truncated Euler-Maruyama method
convergence and stability
Highly Accurate Numerical Schemes for Stochastic Optimal Control Via FBSDEs
期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2020, 卷号: 13, 期号: 2, 页码: 296-319
Authors:
Fu, Yu
;
Zhao, Weidong
;
Zhou, Tao
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View/Download:115/0
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Submit date:2020/05/24
Forward backward stochastic differential equations
stochastic optimal control
stochastic maximum principle
projected quasi-Newton methods
Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints
期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2020, 卷号: 13, 期号: 2, 页码: 400-432
Authors:
Shen, Yue
;
Jin, Chang
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View/Download:126/0
  |  
Submit date:2020/05/24
Fourth order elliptic equation
optimal control problem
decoupled mixed element method
Lagrange element
nonconforming Crouzeix-Raviart element
a priori error estimates
A New Variational Approach for Inverse Source Problems
期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2019, 卷号: 12, 期号: 2, 页码: 331-347
Authors:
Hu, Qiya
;
Shu, Shi
;
Zou, Jun
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View/Download:138/0
  |  
Submit date:2019/03/05
Variational approach
inverse source problem
stability
convergence
On Generalizations of p-Sets and their Applications
期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2019, 卷号: 12, 期号: 2, 页码: 453-466
Authors:
Zhou, Heng
;
Xu, Zhiqiang
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View/Download:129/0
  |  
Submit date:2019/03/05
p-set
deterministic sampling
numerical integral
exponential sum
A Mixed Regularization Method for Ill-Posed Problems
期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2019, 卷号: 12, 期号: 1, 页码: 212-232
Authors:
Zheng, Hui
;
Zhang, Wensheng
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View/Download:189/0
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Submit date:2018/11/16
Ill-posedness
continuous regularization
iterative regularization
mixed regularization
optimal order