On the maximum principle and high-order, delay-free integrators for the viscous Cahn–Hilliard equation-Reference-Cited by-同舟云学术

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On the maximum principle and high-order, delay-free integrators for the viscous Cahn–Hilliard equation

Published:2024-05-03 Issue:3 Volume:50 Page:
ISSN:1019-7168
Container-title:Advances in Computational Mathematics
language:en
Short-container-title:Adv Comput Math

Author:

Zhang Hong^ORCID,Zhang Gengen,Liu Ziyuan,Qian Xu,Song Songhe

Funder

National Natural Science Foundation of China

Defense Science Foundation of China

Science and Technology Innovation Program of Hunan Province

National Key R &D Program of China

Research Fund of National University of Defense Technology

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s10444-024-10143-6.pdf

Reference89 articles.

1. Acosta-Soba, D., Guillén-González, F., Rodríguez-Galván, J.R.: An upwind DG scheme preserving the maximum principle for the convective Cahn–Hilliard model. (2021) arXiv:2111.07313

2. Bai, F., Elliott, C., Gardiner, A., Spence, A., Stuart, A.: The viscous Cahn-Hilliard equation. I. computations. Nonlinearity 8(2), 131 (1995)

3. Butcher, J.C.: Trees and numerical methods for ordinary differential equations. Numerical Algorithms 53(2), 153–170 (2010)

4. Cahn, J.W., Hilliard, J.E.: Free energy of a nonuniform system. I. Interfacial free energy. J. Chem. Phys. 28(2), 258–267 (1958)

5. Carvalho, A.N., Dlotko, T.: Dynamics of the viscous Cahn-Hilliard equation. J. Math. Anal. Appl. 344(2), 703–725 (2008)

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