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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：74/0  |  提交时间：2023/02/07
High dimensional Kolmogorov equation  Numerical solution  Iteration scheme  Gaussian process  
Bubble towers in the ancient solution of energy-critical heat equation 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2022, 卷号: 61, 期号: 6, 页码: 47
作者:  Sun, Liming;  Wei, Jun-cheng;  Zhang, Qidi
收藏  |  浏览/下载：58/0  |  提交时间：2023/02/07
Stable solitons and peakons, quantum information entropies, interactions, and excitations for generalized PT-symmetric NLS equations 期刊论文
WAVE MOTION, 2022, 卷号: 115, 页码: 15
作者:  Song, Jin;  Zhou, Zijian;  Dong, Huanhe;  Yan, Zhenya
收藏  |  浏览/下载：78/0  |  提交时间：2023/02/07
Generalized nonlinear Schr?dinger equation  PT-symmetric potentials  Stable solitons and peakons  Quantum information entropy  Soliton interactions and adiabatic  excitations  
Convergence of adaptive nonconforming finite element method for Stokes optimal control problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 412, 页码: 23
作者:  Shen, Yue;  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载：64/0  |  提交时间：2023/02/07
Optimal control problem  Stokes equations  Control constraints  Adaptive nonconforming finite element method  Convergence and quasi-optimality  
A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 17
作者:  Zhao, Yue;  Mao, Zhiping;  Guo, Ling;  Tang, Yifa;  Karniadakis, George Em
收藏  |  浏览/下载：61/0  |  提交时间：2023/02/07
Uncertainty quantification  Anomalous transport  Quasi Monte Carlo simulation  Generalized polynomial chaos  Long-time integration  Poly-fractonomials  
Linearization of nonlinear Fokker-Planck equations and applications 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 1-37
作者:  Ren, Panpan;  Roeckner, Michael;  Wang, Feng-Yu
收藏  |  浏览/下载：78/0  |  提交时间：2023/02/07
Nonlinear Fokker-Planck equation  McKean-Vlasov stochastic differential equation  Diffusion process  Ergodicity  Feynman-Kac formula  
An efficient cascadic multigrid solver for 3-D magnetotelluric forward modelling problems using potentials 期刊论文
GEOPHYSICAL JOURNAL INTERNATIONAL, 2022, 卷号: 230, 期号: 3, 页码: 1834-1851
作者:  Pan, Kejia;  Wang, Jinxuan;  Hu, Shuanggui;  Ren, Zhengyong;  Cui, Tao;  Guo, Rongwen;  Tang, Jingtian
收藏  |  浏览/下载：65/0  |  提交时间：2023/02/07
Electrical properties  Magnetotellurics  Numerical modelling  Numerical solutions  
A Bernstein-type theorem for minimal graphs over convex domains 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2022, 卷号: 39, 期号: 3, 页码: 749-760
作者:  Edelen, Nick;  Wang, Zhehui
收藏  |  浏览/下载：55/0  |  提交时间：2023/02/07
Minimal graphs  Bernstein theorem  convex domain  Dirichlet boundary  
Large Deviations Principles for Symplectic Discretizations of Stochastic Linear Schrodinger Equation 期刊论文
POTENTIAL ANALYSIS, 2022, 页码: 41
作者:  Chen, Chuchu;  Hong, Jialin;  Jin, Diancong;  Sun, Liying
收藏  |  浏览/下载：125/0  |  提交时间：2022/04/29
Large deviations principle  Symplectic discretizations  Stochastic Schrodinger equation  Rate function  Exponential tightness  
Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations 期刊论文
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2022, 页码: 39
作者:  Roeckner, Michael;  Xie, Longjie;  Yang, Li
收藏  |  浏览/下载：114/0  |  提交时间：2022/04/29
Stochastic hyperbolic-parabolic equations  Averaging principle  Strong and weak convergence  Homogenization