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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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Numerical computation of probabilities for nonlinear SDEs in high dimension using Kolmogorov equation br
期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2023, 卷号: 436, 页码: 17
作者:
Flandoli, Franco
;
Luo, Dejun
;
Ricci, Cristiano
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浏览/下载:77/0
  |  
提交时间:2023/02/07
High dimensional Kolmogorov equation
Numerical solution
Iteration scheme
Gaussian process
Monte Carlo fPINNs: Deep learning method for forward and inverse problems involving high dimensional fractional partial differential equations
期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 卷号: 400, 页码: 17
作者:
Guo, Ling
;
Wu, Hao
;
Yu, Xiaochen
;
Zhou, Tao
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浏览/下载:56/0
  |  
提交时间:2023/02/07
Physics -informed neural networks
Fractional Laplacian
Nonlocal operators
Uncertainty quantification
Linear screening for high-dimensional computer experiments
期刊论文
STAT, 2021, 卷号: 10, 期号: 1, 页码: 9
作者:
Li, Chunya
;
Chen, Daijun
;
Xiong, Shifeng
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  |  
浏览/下载:102/0
  |  
提交时间:2022/04/02
best linear approximation
best subset regression
nonlinear model
sure independence screening
Model reduction-based initialization methods for solving the Poisson-Nernst-Plank equations in three-dimensional ion channel simulations
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 419, 页码: 18
作者:
Zhang, Qianru
;
Gui, Sheng
;
Li, Hongliang
;
Lu, Benzhuo
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浏览/下载:156/0
  |  
提交时间:2021/04/26
Reduced model
Poisson-Nernst-Planck
Smoluchowski-Poisson-Boltzmann
Initialization
Linear approximation of PNP model
Finite element method
Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units
期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2020, 卷号: 27, 期号: 2, 页码: 379-411
作者:
Li, Bo
;
Tang, Shanshan
;
Yu, Haijun
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浏览/下载:133/0
  |  
提交时间:2020/05/24
Deep neural network
high dimensional approximation
sparse grids
rectified linear unit
rectified power unit
rectified quadratic unit
High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation
期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2019, 卷号: 9, 期号: 4, 页码: 797-817
作者:
Wang, Fenling
;
Zhao, Yanmin
;
Shi, Zhengguang
;
Shi, Yanhua
;
Tang, Yifa
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浏览/下载:164/0
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提交时间:2020/01/10
Time fractional wave equation
anisotropic nonconforming quasi-Wilson finite element
Crank-Nicolson scheme
stability
superclose and superconvergence
Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers
期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2019, 页码: 22
作者:
Yuan, Long
;
Hu, Qiya
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浏览/下载:164/0
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提交时间:2020/01/10
Helmholtz equation
nonhomogeneous
variable wave numbers
generalized plane wave
local spectral elements
error estimates
Spatial High Accuracy Analysis of FEM for Two-dimensional Multi-term Time-fractional Diffusion-wave Equations
期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2018, 卷号: 34, 期号: 4, 页码: 828-841
作者:
Wei, Ya-bing
;
Zhao, Yan-min
;
Shi, Zheng-guang
;
Wang, Fen-ling
;
Tang, Yi-fa
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  |  
浏览/下载:216/0
  |  
提交时间:2018/11/16
multi-term time-fractional diffusion-wave equation
bilinear finite element method
Crank-Nicolson approximation
stability
convergence and superconvergence
High order well-balanced discontinuous Galerkin methods for Euler equations at isentropic equilibrium state under gravitational fields
期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2018, 卷号: 329, 页码: 23-37
作者:
Qian, Shouguo
;
Liu, Yu
;
Li, Gang
;
Yuan, Li
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  |  
浏览/下载:147/0
  |  
提交时间:2018/07/30
Euler equations
Isentropic equilibrium state
Discontinuous Galerkin methods
Well-balanced property
Gravitational fields
Bayesian Neural Networks for Selection of Drug Sensitive Genes
期刊论文
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2018, 卷号: 113, 期号: 523, 页码: 955-972
作者:
Liang, Faming
;
Li, Qizhai
;
Zhou, Lei
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浏览/下载:179/0
  |  
提交时间:2018/11/16
Cancer cell line encyclopedia
Nonlinear variable selection
Omics data
OpenMP
Parallel Markov chain Monte Carlo