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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
收藏  |  浏览/下载:114/0  |  提交时间:2023/02/07
High dimensional Kolmogorov equation  Numerical solution  Iteration scheme  Gaussian process  
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
收藏  |  浏览/下载:177/0  |  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  
A numerical approach to Kolmogorov equation in high dimension based on Gaussian analysis 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 493, 期号: 1, 页码: 29
作者:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
收藏  |  浏览/下载:211/0  |  提交时间:2021/01/14
Kolmogorov equation  Numerical solution  Iteration schema  Gaussian process  
FAST EIGENPAIRS COMPUTATION WITH OPERATOR ADAPTED WAVELETS AND HIERARCHICAL SUBSPACE CORRECTION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 6, 页码: 2519-2550
作者:  Xie, Hehu;  Zhang, Lei;  Owhadi, Houman
收藏  |  浏览/下载:177/0  |  提交时间:2020/09/23
multiscale eigenvalue problem  gamblet decomposition  multigrid iteration  subspace correction  numerical homogenization  
Asymptotic Perturbation Bounds for Probabilistic Model Checking with Empirically Determined Probability Parameters 期刊论文
IEEE TRANSACTIONS ON SOFTWARE ENGINEERING, 2016, 卷号: 42, 期号: 7, 页码: 623-639
作者:  Su, Guoxin;  Feng, Yuan;  Chen, Taolue;  Rosenblum, David S.
收藏  |  浏览/下载:194/0  |  提交时间:2018/07/30
Asymptotic perturbation bound  discrete-time Markov chain  numerical iteration  optimization  parametric Markov chain  perturbation analysis  probabilistic model checking  quadratic programming  
Extraneous fixed points of Euler iteration and corresponding Sullivan's basin 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2001, 卷号: 44, 期号: 3, 页码: 292-+
作者:  Wang, XH;  Han, DF
收藏  |  浏览/下载:82/0  |  提交时间:2018/07/30
Euler iteration  extraneous fixed point  numerical extraneous roots  Sullivan's basin  fractal pictures