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Hermite-Pade approximations with Pfaffian structures: Novikov peakon equation and integrable lattices 期刊论文
ADVANCES IN MATHEMATICS, 2022, 卷号: 402, 页码: 45
作者:  Chang, Xiang-Ke
收藏  |  浏览/下载：52/0  |  提交时间：2023/02/07
Hermite-Pade approximation  Biorthogonal polynomials  Novikov equation  Multipeakons  
Efficient Spectral Methods for Quasi-Equilibrium Closure Approximations of Symmetric Problems on Unit Circle and Sphere 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 89, 期号: 2, 页码: 24
作者:  Jiang, Shan;  Yu, Haijun
收藏  |  浏览/下载：121/0  |  提交时间：2022/04/02
Quasi-equilibrium approximation  Moment closure  Bingham distribution  Spectral methods  Piecewise polynomial approximation  
Spectral Method for Phase Retrieval: An Expectation Propagation Perspective 期刊论文
IEEE TRANSACTIONS ON INFORMATION THEORY, 2021, 卷号: 67, 期号: 2, 页码: 1332-1355
作者:  Ma, Junjie;  Dudeja, Rishabh;  Xu, Ji;  Maleki, Arian;  Wang, Xiaodong
收藏  |  浏览/下载：165/0  |  提交时间：2021/04/26
Phase measurement  Message passing  Tools  Signal processing algorithms  Prediction algorithms  Numerical models  Approximation algorithms  Phase retrieval  spectral method  coded diffraction pattern  expectation propagation (EP)  approximate message passing (AMP)  state evolution  orthogonal AMP  vector AMP  
Absolute continuity and numerical approximation of stochastic Cahn-Hilliard equation with unbounded noise diffusion 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 11, 页码: 10143-10180
作者:  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：121/0  |  提交时间：2021/01/14
Stochastic Cahn-Hilliard equation  Unbounded noise diffusion  Malliavin calculus  Numerical approximation  Strong convergence rate  
RATIONAL SPECTRAL METHODS FOR PDEs INVOLVING FRACTIONAL LAPLACIAN IN UNBOUNDED DOMAINS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 卷号: 42, 期号: 2, 页码: A585-A611
作者:  Tang, Tao;  Wang, Li-Lian;  Yuan, Huifang;  Zhou, Tao
收藏  |  浏览/下载：152/0  |  提交时间：2020/09/23
fractional Laplacian  Gegenbauer polynomials  modified rational functions  unbounded domains  Fourier transforms  spectral methods  
A novel semi-discrete scheme preserving uniformly exponential stability for an Euler-Bernoulli beam 期刊论文
SYSTEMS & CONTROL LETTERS, 2019, 卷号: 134, 页码: 10
作者:  Liu, Jiankang;  Guo, Bao-Zhu
收藏  |  浏览/下载：138/0  |  提交时间：2020/05/24
Beam equation  Finite volume method  Finite difference method  Exponential stability  Uniform approximation  
Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2019, 页码: 22
作者:  Yuan, Long;  Hu, Qiya
收藏  |  浏览/下载：161/0  |  提交时间：2020/01/10
Helmholtz equation  nonhomogeneous  variable wave numbers  generalized plane wave  local spectral elements  error estimates  
The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2018, 卷号: 10, 期号: 5, 页码: 1126-1157
作者:  Yuan, Long;  Hu, Qiya
收藏  |  浏览/下载：163/0  |  提交时间：2019/03/05
Electromagnetic wave  plane wave least-squares  ultra weak variational formulation  anisotropic media  plane-wave basis  error estimates  
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
作者:  Huang, Na;  Ma, Chang-Feng
浏览  |  Adobe PDF(577Kb)  |  收藏  |  浏览/下载：848/153  |  提交时间：2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
Simultaneous identification of diffusion coefficient, spacewise dependent source and initial value for one-dimensional heat equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 10, 页码: 3552-3565
作者:  Zhao, Zhi-Xue;  Banda, Mapundi K.;  Guo, Bao-Zhu
浏览  |  Adobe PDF(475Kb)  |  收藏  |  浏览/下载：540/166  |  提交时间：2018/07/30
Inverse Problem  Matrix Pencil Method  Finite Difference Method  Truncated Singular Value Decomposition  Generalized Cross-validation