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A novel hybrid IGA-EIEQ numerical method for the Allen-Cahn/Cahn-Hilliard equations on complex curved surfaces 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2023, 卷号: 404, 页码: 21
作者:  Pan, Qing;  Chen, Chong;  Zhang, Yongjie Jessica;  Yang, Xiaofeng
收藏  |  浏览/下载：112/0  |  提交时间：2023/02/07
Loop subdivision  IGA-EIEQ  Decoupled  Unconditional energy stability  Allen-Cahn  Cahn-Hilliard  
Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2022, 卷号: 12, 期号: 4, 页码: 891-911
作者:  Zhang, Wensheng;  Joardar, Atish Kumar
收藏  |  浏览/下载：71/0  |  提交时间：2023/02/07
Stability  poroelastic wave equation  energy method  high-order scheme  wave simulation  
Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 页码: 16
作者:  Liao, Hong-Lin;  Song, Xuehua;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载：139/0  |  提交时间：2021/04/26
molecular beam epitaxial growth  variable-step BDF2 scheme  discrete orthogonal convolution kernels  energy stability  convergence analysis  
AN ENERGY STABLE AND MAXIMUM BOUND PRESERVING SCHEME WITH VARIABLE TIME STEPS FOR TIME FRACTIONAL ALLEN--CAHN EQUATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021, 卷号: 43, 期号: 5, 页码: A3503-A3526
作者:  Liao, Hong-lin;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载：87/0  |  提交时间：2022/04/02
time-fractional Allen--Cahn equation  asymptotic preserving  energy stability  adaptive time stepping  max-imum principle  
ON ENERGY STABLE, MAXIMUM-PRINCIPLE PRESERVING, SECOND-ORDER BDF SCHEME WITH VARIABLE STEPS FOR THE ALLEN-CAHN EQUATION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 4, 页码: 2294-2314
作者:  Liao, Hong-lin;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载：117/0  |  提交时间：2021/01/14
Allen-Cahn equation  nonuniform BDF2 scheme  energy stability  discrete maximum principle  convergence analysis  
A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 卷号: 356, 页码: 435-464
作者:  Yang, Jinjin;  Mao, Shipeng;  He, Xiaoming;  Yang, Xiaofeng;  He, Yinnian
收藏  |  浏览/下载：175/0  |  提交时间：2020/01/10
Two-phase MHD flows  Diffuse interface models  Finite element method  Energy stability  Semi-implicit scheme  
Stability and superconvergence analysis of the FDTD scheme for the 2D Maxwell equations in a lossy medium 期刊论文
SCIENCE CHINA-MATHEMATICS, 2011, 卷号: 54, 期号: 12, 页码: 2693-2712
作者:  Gao LiPing;  Zhang Bo
收藏  |  浏览/下载：140/0  |  提交时间：2018/07/30
Maxwell equations  finite-difference time-domain method  stability  superconvergence  perfectly electric conducting boundary conditions  energy identities  
Adaptive L-2 disturbance attenuation control of multi-machine power systems with SMES units 期刊论文
AUTOMATICA, 2006, 卷号: 42, 期号: 7, 页码: 1121-1132
作者:  Wang, Yuzhen;  Feng, Gang;  Cheng, Daizhan;  Liu, Yanhong
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
multi-machine power system  SMES  dissipative PCH system  stability analysis  adaptive L-2 disturbance attenuation  energy-based control scheme  
Stability analysis and application of the exponential time differencing schemes 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2004, 卷号: 22, 期号: 2, 页码: 200-209
作者:  Du, Q;  Zhu, WX
收藏  |  浏览/下载：85/0  |  提交时间：2018/07/30
time integration schemes  exponential time differencing  Fourier spectral methods  stability  Fourier analysis  energy estimates  maximum principle  Allen-Cahn equations  phase transitions  
The linear stability of traveling wave solutions for a reacting flow model with source term 期刊论文
QUARTERLY OF APPLIED MATHEMATICS, 2000, 卷号: 58, 期号: 2, 页码: 219-238
作者:  Hsiao, L;  Pan, RH
收藏  |  浏览/下载：90/0  |  提交时间：2018/07/30
linear stability  traveling wave  relaxation approximation  diffusive waves  energy estimates  reacting flow