Abstract In this paper, stabilized Crank-Nicolson/Adams-Bashforth schemes are presented for the Allen-Cahn and Cahn-Hilliard equations. It is shown that the proposed time discretization schemes are either unconditionally energy stable, or conditionally energy stable under some reasonable stability conditions. Optimal error estimates for the semi-discrete schemes and fully-discrete schemes will be derived. Numerical experiments are carried…
East Asian Journal on Applied Mathematics Template
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About the East Asian Journal on Applied Mathematics format
East Asian Journal on Applied Mathematics is a peer-reviewed journal published by Cambridge University Press, covering Differential Equations and Numerical Methods, Advanced Numerical Methods in Computational Mathematics, Numerical methods for differential equations.
| Publisher | Cambridge University Press |
|---|---|
| Reference style | Numbered Numbered — [1], [2] in the text [1] A. Smith, B. Jones, and C. Lee, A representative article title, East Asian Journal on Applied Mathematics 12 (2023) 45–58.
Formats any DOI in the closest standard style — East Asian Journal on Applied Mathematics has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Differential Equations and Numerical Methods Advanced Numerical Methods in Computational Mathematics Numerical methods for differential equations Matrix Theory and Algorithms Fractional Differential Equations Solutions |
| ISSN | 2079-7362 |
| Citation impact (2-yr) | 0.68 |
| h-index | 24 |
| i10-index | 91 |
| Total citations | 3,401 |
| Top institutions publishing here | University of Macau |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in East Asian Journal on Applied Mathematics per year
Citation impact of East Asian Journal on Applied Mathematics by publication year
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Most-cited papers in East Asian Journal on Applied Mathematics
Abstract We discuss the implementation of the finite volume method on a staggered grid to solve the full shallow water equations with a conservative approximation for the advection term. Stelling & Duinmeijer [15] noted that the advection approximation may be energy-head or momentum conservative, and if suitable which of these to implement depends upon the…
Abstract In this paper, we prove existence and uniqueness results for the ground states of the coupled Gross-Pitaevskii equations for describing two-component Bose-Einstein condensates with an internal atomic Josephson junction, and obtain the limiting behavior of the ground states with large parameters. Efficient and accurate numerical methods based on continuous normalized gradient flow and gradient…