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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
Authors:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
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High dimensional Kolmogorov equation  Numerical solution  Iteration scheme  Gaussian process  
A NOVEL AUGMENTED LAGRANGIAN METHOD OF MULTIPLIERS FOR OPTIMIZATION WITH GENERAL INEQUALITY CONSTRAINTS 期刊论文
MATHEMATICS OF COMPUTATION, 2022, 页码: 30
Authors:  Liu, Xin-Wei;  Dai, Yu-Hong;  Huang, Ya-Kui;  Sun, Jie
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Nonlinear programming  inequality-constrained optimization  augmented Lagrangian method of multipliers  strong global convergence  local convergence  
Lifting for the integer knapsack cover polyhedron 期刊论文
JOURNAL OF GLOBAL OPTIMIZATION, 2022, 页码: 45
Authors:  Chen, Wei-Kun;  Chen, Liang;  Dai, Yu-Hong
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Integer programming  Cutting plane  Sequential lifting  MIR inequality  Separation algorithm  
A fourth-order unfitted characteristic finite element method for free-boundary problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 19
Authors:  Ma, Chuwen;  Zheng, Weiying
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Free-boundary problems  Unfitted characteristic finite element  methods  Convection-diffusion equation  Navier-Stokes equations  
Data-driven rogue waves and parameters discovery in nearly integrable PT-symmetric Gross-Pitaevskii equations via PINNs deep learning 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 439, 页码: 12
Authors:  Zhong, Ming;  Gong, Shibo;  Tian, Shou-Fu;  Yan, Zhenya
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GeneralizedGrossPitaevskiiequation  ComplexPT-symmetricpotentials  Physics-informeddeepneuralnetworks  Data-driven rogue waves and parameters discovery discovery  
New insights and augmented Lagrangian algorithm for optimal portfolio liquidation with market impact 期刊论文
INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH, 2022, 页码: 25
Authors:  Xu, Fengmin;  Li, Xuepeng;  Dai, Yu-Hong;  Wang, Meihua
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augmented Lagrangian algorithm  equity and liability  optimal portfolio liquidation  price impact  
Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2022, 卷号: 48, 期号: 5, 页码: 23
Authors:  Ding, Qianqian;  Mao, Shipeng;  Sun, Jiaao
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Magnetohydrodynamics  Finite element method  H(div)-conforming element  Error analysis  Pressure-robust  
Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2022, 卷号: 179, 页码: 183-190
Authors:  Chen, Hu;  Chen, Mengyi;  Sun, Tao;  Tang, Yifa
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L1 scheme  Time-fractional KdV equation  Local error estimate  Weakly singular solution  
Kinematic Redundancy Analysis for (2n+1) R Circular Manipulators 期刊论文
IEEE TRANSACTIONS ON ROBOTICS, 2022, 页码: 13
Authors:  Li, Zijia;  Brandstoetter, Mathias;  Hofbaur, Michael
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Collision avoidance  industrial robots  kinematic singularities  recursively solution  redundant robots  
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
Authors:  Zhao, Yue;  Mao, Zhiping;  Guo, Ling;  Tang, Yifa;  Karniadakis, George Em
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Uncertainty quantification  Anomalous transport  Quasi Monte Carlo simulation  Generalized polynomial chaos  Long-time integration  Poly-fractonomials