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A UNIFORM SPECTRAL ANALYSIS FOR A PRECONDITIONED ALL-AT-ONCE SYSTEM FROM FIRST-ORDER AND SECOND-ORDER EVOLUTIONARY PROBLEMS 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2022, 卷号: 43, 期号: 3, 页码: 1331-1353
作者:  Wu, Shu-Lin;  Zhou, Tao;  Zhou, Zhi
收藏  |  浏览/下载：81/0  |  提交时间：2023/02/07
time-parallel algorithm  diagonalization technique  alpha-circulant preconditioner  stability  spectral analysis  Runge-Kutta method  two-step methods  
GLOBAL SOLUTIONS OF A TWO-DIMENSIONAL RIEMANN PROBLEM FOR THE PRESSURE GRADIENT SYSTEM 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 卷号: 20, 期号: 7-8, 页码: 2475-2503
作者:  Chen, Gui-qiang G.;  Wang, Q. I. N.;  Zhu, S. H. E. N. G. G. U. O.
收藏  |  浏览/下载：176/0  |  提交时间：2021/10/26
Two-dimensional Riemann problems  global solutions  pressure gradient system  Euler equations  hyperbolic conservation laws  mixed type  degenerate elliptic equations  shocks  transonic shock  vortex sheets  free boundary problem  
Central discontinuous Galerkin methods on overlapping meshes for wave equations 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2021, 卷号: 55, 期号: 1, 页码: 329-356
作者:  Liu, Yong;  Lu, Jianfang;  Shu, Chi-Wang;  Zhang, Mengping
收藏  |  浏览/下载：135/0  |  提交时间：2021/04/26
Optimal error estimates  central DG method  second order wave equation  dispersion analysis  
AN OSCILLATION-FREE DISCONTINUOUS GALERKIN METHOD FOR SCALAR HYPERBOLIC CONSERVATION LAWS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 3, 页码: 1299-1324
作者:  Lu, Jianfang;  Liu, Yong;  Shu, Chi-Wang
收藏  |  浏览/下载：138/0  |  提交时间：2021/10/26
hyperbolic conservation laws  discontinuous Galerkin  nonoscillatory  optimal error estimates  superconvergence  
Eigenvalue estimate of the Dirac operator and Rigidity of Poincare-Einstein metrics 期刊论文
MATHEMATISCHE ZEITSCHRIFT, 2019, 卷号: 293, 期号: 1-2, 页码: 485-502
作者:  Chen, Daguang;  Wang, Fang;  Zhang, Xiao
收藏  |  浏览/下载：189/0  |  提交时间：2020/01/10
Eigenvalue  Dirac operator  Boundary condition  Yamabe invariant  Poincare-Einstein metric  
VORTEX STRUCTURES FOR SOME GEOMETRIC FLOWS FROM PSEUDO-EUCLIDEAN SPACES 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 卷号: 39, 期号: 4, 页码: 1745-1777
作者:  Jiang, Ruiqi;  Wang, Youde;  Yang, Jun
收藏  |  浏览/下载：181/0  |  提交时间：2019/03/05
Wave map equations  Schrodinger flows  Landau-Lifshitz equations  Vortices  
An Artificial Compressibility Method for 3D Phase-Field Model and its Application to Two-Phase Flows 期刊论文
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2017, 卷号: 14, 期号: 5, 页码: 14
作者:  Shah, Abdullah;  Saeed, Sadia;  Yuan, L.
收藏  |  浏览/下载：133/0  |  提交时间：2018/07/30
Two-phase flow  phase-field model  incompressible Navier-Stokes equations  artificial compressibility method  Boussinesq approximation  
FUNDAMENTAL THEOREM OF GEOMETRY WITHOUT THE SURJECTIVE ASSUMPTION 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 卷号: 368, 期号: 10, 页码: 6819-6834
作者:  Li, Baokui;  Wang, Yuefei
收藏  |  浏览/下载：136/0  |  提交时间：2018/07/30
Line-to-line transformations  Pappus' Theorem  g-reflections  affine transformations  Mobius transformations  
Weak Continuity and Compactness for Nonlinear Partial Differential Equations 期刊论文
CHINESE ANNALS OF MATHEMATICS SERIES B, 2015, 卷号: 36, 期号: 5, 页码: 715-736
作者:  Chen, Gui-Qiang G.
收藏  |  浏览/下载：113/0  |  提交时间：2018/07/30
Weak continuity  Compensated compactness  Nonlinear partial differential equations  Euler equations  Gauss-Codazzi-Ricci system  
Inverse source problems for time-fractional mixed parabolic-hyperbolic-type equations 期刊论文
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2015, 卷号: 23, 期号: 4, 页码: 339-353
作者:  Feng, Pengbin;  Karimov, Erkinjon T.
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
Inverse source problem  Caputo fractional derivative  mixed-type equation  orthonormal system of eigenfunctions