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兰州大学机构库
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An Efficient Numerical Algorithm for the Model Describing the Competition Between Super- and Sub-diffusions Driven by Fractional Brownian Sheet Noise 期刊论文
Journal of Scientific Computing, 2023, 卷号: 96, 期号: 1
Authors:  Sun, Jing;  Nie, Daxin;  Deng, WH(邓伟华)
Favorite  |    Submit date：2023/07/18
Approximation algorithms  Brownian movement  Error analysis  Galerkin methods  Numerical methods  Anomalous diffusion  Brownian sheet  Error analyze  Fast algorithms  Fractional brownian sheet  Mittag-Leffler  Mittag–leffle euler integrator  Model for anomalous diffusion  Spectral Galerkin method  Wong–zakai approximation  
An Efficient Numerical Algorithm for the Model Describing the Competition Between Super- and Sub-diffusions Driven by Fractional Brownian Sheet Noise 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2023, 卷号: 96, 期号: 1
Authors:  Sun, Jing;  Nie, Daxin;  Deng, WH(邓伟华)
Favorite  |    Submit date：2023/07/18
Model for anomalous diffusion  Fractional Brownian sheet  Wong-Zakai approximation  Mittag-Leffler Euler integrator  Spectral Galerkin method  Fast algorithm  Error analyses  
UNIFIED STOCHASTIC REPRESENTATION, WELL-POSEDNESS ANALYSIS, AND REGULARITY ANALYSIS FOR THE EQUATIONS MODELING ANOMALOUS DIFFUSIONS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023, 期号: WOS:001023257200001, 页码: Mathematics
Authors:  Sun, Rui;  Deng, WH(邓伟华)
Favorite  |    Submit date：2023/09/04
Key words and phrases  Poisson equation  stochastic representation  well-posedness  regularity  anomalous diffusion  
UNIFIED STOCHASTIC REPRESENTATION, WELL-POSEDNESS ANALYSIS, AND REGULARITY ANALYSIS FOR THE EQUATIONS MODELING ANOMALOUS DIFFUSIONS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023
Authors:  Sun, Rui;  Deng, WH(邓伟华)
Favorite  |    Submit date：2023/09/04
Key words and phrases  Poisson equation  stochastic representation  well-posedness  regularity  anomalous diffusion  
反常与非遍历多尺度建模、分析及算法 期刊论文
中国科学:数学, 2023, 页码: 1-28
Authors:  邓伟华
Favorite  |    Submit date：2023/07/18
可计算建模  非平衡态统计物理  非静态介质  分析与算法  
反常与非遍历多尺度建模、分析及算法 期刊论文
中国科学:数学, 2023, 页码: 1-28
Authors:  邓伟华
Favorite  |    Submit date：2023/09/04
可计算建模  非平衡态统计物理  非静态介质  分析与算法  
Sharp error estimates for spatial-temporal finite difference approximations to fractional sub-diffusion equation without regularity assumption on the exact solution 期刊论文
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2023, 卷号: 26, 期号: 3, 页码: 1421-1464
Authors:  Nie, Daxin;  Sun, Jing;  Deng, WH(邓伟华)
Favorite  |    Submit date：2023/07/18
Fractional sub-diffusion equation  Laplace operator  Central finite difference method  Modified scheme  Averaged L1 scheme  Averaged second order backward difference scheme  Error analysis  
An inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion 期刊论文
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2023
Authors:  Nie, Daxin;  Deng, WH(邓伟华)
Favorite  |    Submit date：2023/04/12
Stochastic fractional diffusion equation  inverse random source problem  Riemann-Liouville fractional derivative  reconstruction algorithm  
An inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion 期刊论文
Journal of Inverse and Ill-Posed Problems, 2023
Authors:  Nie, Daxin;  Deng, WH(邓伟华)
Favorite  |    Submit date：2023/04/12
Brownian movement  Inverse problems  Partial differential equations  Stochastic systems  Fractional brownian motion  Fractional diffusion equation  Inverse random source problem  Random sources  Reconstruction algorithms  Riemann-Liouville fractional derivatives  Space-fractional diffusions  Stochastic fractional diffusion equation  Stochastics  Time-space  
An inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion 期刊论文
Journal of Inverse and Ill-Posed Problems, 2023
Authors:  Nie, Daxin;  Deng, WH(邓伟华)
Favorite  |    Submit date：2023/05/25
Brownian movement  Inverse problems  Partial differential equations  Stochastic systems  Fractional brownian motion  Fractional diffusion equation  Inverse random source problem  Random sources  Reconstruction algorithms  Riemann-Liouville fractional derivatives  Space-fractional diffusions  Stochastic fractional diffusion equation  Stochastics  Time-space