Efficiently energy-dissipation-preserving ADI methods for solving two-dimensional nonlinear Allen-Cahn equation
Author:
Publisher
Elsevier BV
Subject
Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation
Reference49 articles.
1. A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening;Allen;Acta Metall.,1979
2. Phase field model for isothermal phase transitions in binary alloys;Wheeler;Numer. Phys. Rev. A,1992
3. Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows;Feng;Numer. Math.,2003
4. Geometrical image segmentation by the Allen-Cahn equation;Beně;Appl. Numer. Math.,2004
5. Interface dynamics and far-from-equilibrium phase transitions in multilayer epitaxial growth and erosion on crystal surfaces: continuum theory insights;Golubovic;East Asian J. Appl. Math.,2011
Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. A second-order linear unconditionally energy-stable scheme for the phase field crystal equation;Journal of Computational and Applied Mathematics;2025-02
2. Stability and convergence of BDF2-ADI schemes with variable step sizes for parabolic equation;Applied Numerical Mathematics;2024-09
3. A second-order linear and unconditional energy-stable scheme for Swift-Hohenberg equations;Applied Mathematics and Computation;2024-08
4. Maximum-Norm Error Estimates of Fourth-Order Compact and ADI Compact Finite Difference Methods for Nonlinear Coupled Bacterial Systems;Journal of Scientific Computing;2024-06-18
5. The Allen–Cahn model with a time-dependent parameter for motion by mean curvature up to the singularity;Chaos, Solitons & Fractals;2024-05
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3