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Distributed optimisation approach to least-squares solution of Sylvester equations 期刊论文
IET CONTROL THEORY AND APPLICATIONS, 2020, 卷号: 14, 期号: 18, 页码: 2968-2976
作者:  Deng, Wen;  Zeng, Xianlin;  Hong, Yiguang
收藏  |  浏览/下载：196/0  |  提交时间：2021/01/14
least squares approximations  distributed control  stability  distributed algorithms  continuous time systems  matrix algebra  convex programming  multi-robot systems  convex optimisation  distributed optimisation approach  least-squares solution  Sylvester equations  distributed algorithms  multiagent network  problem setup  interconnected system  local information  data matrices  neighbour agents  continuous-time algorithms  optimisation problem  
Constructing Least-Squares Polynomial Approximations 期刊论文
SIAM REVIEW, 2020, 卷号: 62, 期号: 2, 页码: 483-508
作者:  Guo, Ling;  Narayan, Akil;  Zhou, Tao
收藏  |  浏览/下载：164/0  |  提交时间：2020/09/23
least-squares approximations  optimal sampling  polynomial approximations  
Well-Posedness and Finite Element Approximations for Elliptic SPDEs with Gaussian Noises 期刊论文
数学研究通讯:英文版, 2020, 卷号: 36.0, 期号: 002, 页码: 113-127
作者:  Yanzhao Cao;  Jialin Hong;  Zhihui Liu
收藏  |  浏览/下载：202/0  |  提交时间：2021/01/14
Elliptic  stochastic  partial  differential  equation  spectral  approximations  finite  element  approximations  power-law  noise  
Distributed optimisation design for solving the Stein equation with constraints 期刊论文
IET CONTROL THEORY AND APPLICATIONS, 2019, 卷号: 13, 期号: 15, 页码: 2492-2499
作者:  Chen, Guanpu;  Zeng, Xianlin;  Hong, Yiguang
收藏  |  浏览/下载：187/0  |  提交时间：2020/05/24
least squares approximations  gradient methods  convergence  matrix algebra  concave programming  multi-agent systems  distributed optimisation design  Stein equations  set constraints  rows  columns  coefficient matrices  equivalent distributed optimisation problem  projection-based algorithm  least-squares solution  constrained Stein equation  multiagent system network  simplified distributed algorithm  
The dynamics of conservative peakons in a family of U(1)-invariant integrable equations of NLS-Hirota type 期刊论文
STUDIES IN APPLIED MATHEMATICS, 2018, 卷号: 141, 期号: 4, 页码: 680-713
作者:  Anco, Stephen C.;  Chang, Xiangke;  Szmigielski, Jacek
收藏  |  浏览/下载：181/0  |  提交时间：2019/01/11
inverse problems  Pade approximations  peakons  tri-Hamiltonian  weak solutions  
WEIGHTED APPROXIMATE FEKETE POINTS: SAMPLING FOR LEAST-SQUARES POLYNOMIAL APPROXIMATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 卷号: 40, 期号: 1, 页码: A366-A387
作者:  Guo, Ling;  Narayan, Akil;  Yan, Liang;  Zhou, Tao
收藏  |  浏览/下载：195/0  |  提交时间：2018/07/30
uncertainty quantification  least-squares approximations  Fekete points  QR decomposition  
EFFICIENT SPECTRAL SPARSE GRID APPROXIMATIONS FOR SOLVING MULTI-DIMENSIONAL FORWARD BACKWARD SDES 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 卷号: 22, 期号: 9, 页码: 3439-3458
作者:  Fu, Yu;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：147/0  |  提交时间：2018/07/30
Spectral method  sparse grid approximations  forward backward stochastic differential equations  conditional expectations  fast Fourier transform  
A new spectral finite volume method for elastic wave modelling on unstructured meshes 期刊论文
GEOPHYSICAL JOURNAL INTERNATIONAL, 2016, 卷号: 206, 期号: 1, 页码: 292-307
作者:  Zhang, Wensheng;  Zhuang, Yuan;  Chung, Eric T.
收藏  |  浏览/下载：139/0  |  提交时间：2018/07/30
Numerical solutions  Numerical approximations and analysis  Computational seismology  Wave propagation  
Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks 期刊论文
SCIENCE CHINA-MATHEMATICS, 2015, 卷号: 58, 期号: 4, 页码: 653-672
作者:  Huang FeiMin;  Wang Yi;  Wang Yong;  Yang Tong
收藏  |  浏览/下载：191/0  |  提交时间：2021/01/14
NONLINEAR HYPERBOLIC SYSTEMS  ZERO-DISSIPATION LIMIT  CONSERVATION-LAWS  RAREFACTION WAVES  EULER EQUATIONS  BOLTZMANN-EQUATION  CONVERGENCE RATE  GAS-DYNAMICS  APPROXIMATIONS  STABILITY  isentropic Navier-Stokes equations  isentropic Euler equations  interacting shock  vanishing viscosity  entropy solution  
A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2014, 卷号: 30, 期号: 6, 页码: 949-967
作者:  Jia Shang Hui;  Luo Fu Sheng;  Xie He Hu
收藏  |  浏览/下载：112/0  |  提交时间：2021/01/14
FINITE-ELEMENT APPROXIMATIONS  EQUATIONS  CONVERGENCE  ESTIMATORS  A posteriori error estimate  adaptive finite element method  nonconforming  Stokes eigenvalue problem