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Discovery of PDEs driven by data with sharp gradient or discontinuity
期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023, 卷号: 140, 页码: 33-43
作者:
Wang, Kang
;
Zhang L(张磊)
;
Tang, Shaoqiang
收藏
  |  
浏览/下载:8/0
  |  
提交时间:2023/06/15
System identification
Partial differential equations
Gaussian process
Discontinuous data
Machine learning
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
Identifying initial value problem for time-fractional diffusion equation with Caputo-like counterpart hyper-Bessel operator: Optimal error bound analysis and regularization method
期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 卷号: 44, 期号: 8, 页码: -
作者:
Yang, Fan
;
Sun, Qiao-Xi
;
Li, Xiao-Xiao
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  |  
浏览/下载:11/0
  |  
提交时间:2021/03/12
Errors
Initial value problems
Iterative methods
Numerical methods
Parameterization
Partial differential equations
Bessel operators
Error estimates
Exact solution
Iterative regularization
Optimal error bound
Regularization methods
Regularization parameters
Time fractional diffusion equation
The fractional Tikhonov regularization methods for identifying the initial value problem for a time-fractional diffusion equation
期刊论文
Journal of Computational and Applied Mathematics, 2020, 卷号: 380
作者:
Yang, Fan
;
Pu, Qu
;
Li, Xiao-Xiao
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  |  
浏览/下载:10/0
  |  
提交时间:2022/02/17
Initial value problems
Parameterization
Partial differential equations
Columnar axis
Error estimates
Exact solution
Regularization parameters
Symmetric domains
Tikhonov method
Tikhonov regularization method
Time fractional diffusion equation
Large Deviations for Quasilinear Parabolic Stochastic Partial Differential Equations
期刊论文
POTENTIAL ANALYSIS, 2020, 卷号: 53, 期号: 1, 页码: 183-202
作者:
Dong, Zhao
;
Zhang, Rangrang
;
Zhang, Tusheng
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  |  
浏览/下载:39/0
  |  
提交时间:2020/09/23
Freidlin-Wentzell's large deviations
Quailinear stochastic partial differential equations
Weak convergence approach
Piecewise linear approximation for the dynamical Phi(4)(3) model
期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 卷号: 63, 期号: 2, 页码: 381-410
作者:
Zhu, Rongchan
;
Zhu, Xiangchan
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  |  
浏览/下载:22/0
  |  
提交时间:2020/05/24
regularity structure
space-time white noise
stochastic partial differential equations
renormalization
Ergodicity for a class of semilinear stochastic partial differential equations
期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 页码: 20
作者:
Dong, Zhao
;
Zhang, Rangrang
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  |  
浏览/下载:33/0
  |  
提交时间:2020/05/24
invariant measures
irreducibility
semilinear partial differential equations
space-time white noise
strong Feller property
A limited-memory block bi-diagonal Toeplitz preconditioner for block lower triangular Toeplitz system from time–space fractional diffusion equation
期刊论文
Journal of Computational and Applied Mathematics, 2019, 卷号: 362, 页码: 99-115
作者:
Zhao, Yong-Liang
;
Zhu, Pei-Yong
;
Gu, Xian-Ming
;
Zhao, Xi-Le
;
Cao, Jianxiong
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  |  
浏览/下载:5/0
  |  
提交时间:2020/11/14
Gradient methods
Linear systems
Matrix algebra
Partial differential equations
Circulant preconditioner
Fractional differential equations
Krylov subspace method
Toeplitz matrices
WSGD
Energy-conserving Hamiltonian Boundary Value Methods for the numerical solution of the Korteweg-de Vries equation
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 351, 页码: 117-135
作者:
Brugnano, Luigi
;
Gurioli, Gianmarco
;
Sun, Yajuan
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  |  
浏览/下载:25/0
  |  
提交时间:2020/01/10
Korteweg-de Vries equation
Hamiltonian partial differential equations
Hamiltonian problems
Energy-conserving methods
Hamiltonian boundary value methods
HBVMs
Blow-up and global solutions for a class of time fractional nonlinear reaction–diffusion equation with weakly spatial source
期刊论文
Applied Mathematics Letters, 2019, 卷号: 91, 页码: 201-206
作者:
Cao, Jianxiong
;
Song, Guojie
;
Wang, Jie
;
Shi, Qihong
;
Sun, Sujing
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  |  
浏览/下载:2/0
  |  
提交时间:2020/11/14
Diffusion
Partial differential equations
Blow-up
Blow-up of solution
Bounded solution
Diffusion equations
Existence of global solution
Global solutions
Long time behavior
Nonlinear reaction
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