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Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 165, 页码: 14
Authors:  Zhong, Ming;  Yan, Zhenya
Favorite  |  View/Download：21/0  |  Submit date：2023/02/07
Integrable fractional nonlinear wave equations  Fourier neural operator  Deep learning  Data-driven soliton mapping  Activation function  Channel of fully-connected layer  
Influence of numerical discretizations on hitting probabilities for linear stochastic parabolic systems 期刊论文
JOURNAL OF COMPLEXITY, 2022, 卷号: 70, 页码: 29
Authors:  Chen, Chuchu;  Hong, Jialin;  Sheng, Derui
Favorite  |  View/Download：75/0  |  Submit date：2022/04/29
Hitting probability  Numerical discretization  Stochastic parabolic system  Critical dimension  
Trace transfer-based diagonal sweeping domain decomposition method for the Helmholtz equation: Algorithms and convergence analysis 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 455, 页码: 29
Authors:  Leng, Wei;  Ju, Lili
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Domain decomposition method  Diagonal sweeping  Helmholtz equation  Perfectly matched layer  Trace transfer  Parallel computing  
Analytical Expressions to Counterparty Credit Risk Exposures for Interest Rate Derivatives 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2022, 卷号: 38, 期号: 2, 页码: 254-270
Authors:  Li, Shuang;  Peng, Cheng;  Bao, Ying;  Zhao, Yan-long;  Cao, Zhen
Favorite  |  View/Download：58/0  |  Submit date：2022/06/21
forward rate agreement  counterparty credit risk  expected exposure  potential future exposure  
Large Deviations Principles for Symplectic Discretizations of Stochastic Linear Schrodinger Equation 期刊论文
POTENTIAL ANALYSIS, 2022, 页码: 41
Authors:  Chen, Chuchu;  Hong, Jialin;  Jin, Diancong;  Sun, Liying
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Large deviations principle  Symplectic discretizations  Stochastic Schrodinger equation  Rate function  Exponential tightness  
CONVERGENCE ANALYSIS OF INEXACT TWO-GRID METHODS: A THEORETICAL FRAMEWORK 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 1, 页码: 133-156
Authors:  Xu, Xuefeng;  Zhang, Chen-Song
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multigrid  inexact two-grid methods  convergence factor  eigenvalue analysis  
\daggerCorresponding author. (xuxuefeng@lsec.cc.ac.cn). \ddagger, and (zhangcs@lsec.cc.ac.cn). 512 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2022, 卷号: 43, 期号: 1, 页码: 512-533
Authors:  Xu, Xuefeng;  Zhang, Chen-Song
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multigrid  inexact two-grid methods  convergence factor  two-sided bounds  
Positivity-preserving symplectic methods for the stochastic Lotka-Volterra predator-prey model 期刊论文
BIT NUMERICAL MATHEMATICS, 2021, 页码: 28
Authors:  Hong, Jialin;  Ji, Lihai;  Wang, Xu;  Zhang, Jingjing
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Stochastic Lotka-Volterra predator-prey model  Positivity  Stochastic symplecticity  Structure-preserving methods  Convergence order conditions  
Error Estimate of a Fully Discrete Finite Element Method for Incompressible Vector Potential Magnetohydrodynamic System 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 88, 期号: 3, 页码: 24
Authors:  Ding, Qianqian;  Long, Xiaonian;  Mao, Shipeng
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Magnetohydrodynamic  Magnetic vector potential  Finite element method  Error estimates  
A Diagonal Sweeping Domain Decomposition Method with Source Transfer for the Helmholtz Equation 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 2, 页码: 357-398
Authors:  Leng, Wei;  Ju, Lili
Favorite  |  View/Download：100/0  |  Submit date：2021/04/26
Helmholtz equation  domain decomposition method  diagonal sweeping  perfectly matched layer  source transfer  parallel computing