Scientific Computing for Phase-Field Models
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".
Deadline for manuscript submissions: 20 September 2025 | Viewed by 90
Special Issue Editors
Interests: computational mathematics; scientific computing; numerical analysis; mathematical physics; computational biology; computational finance; computer simulation; mathematical modeling
Special Issues, Collections and Topics in MDPI journals
Interests: phase-field model; PDE on surface; mathematical biology; computational finance; scientific computing
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Phase-field models are a powerful mathematical and computational approach used to simulate the behavior of interfaces and boundaries in complex systems without the need for explicitly tracking their positions. The phase-field models have become crucial tools for understanding and predicting the evolution of microstructures in materials, fluid flows, and other phenomena involving phase changes or morphological transformations.
The purpose of this Special Issue is to highlight the latest research on the developments and applications of 'scientific computing for phase-field models'.
The scope of this Special Issue encompasses a wide range of topics related to phase-field models, including, but not limited to, the following:
- Phase-field models;
- Phase-field equations solver on curved surfaces;
- Phase-field model and Navier–Stokes systems;
- Fourier spectral method for phase-field models;
- Multigrid method;
- Finite difference method;
- Operator splitting method;
- Topological optimization;
- Mesh generation algorithm.
Prof. Dr. Junseok Kim
Dr. Hyundong Kim
Guest Editors
Manuscript Submission Information
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Keywords
- phase-field models
- phase-field equations
- finite difference method
- scientific computing
- topological optimization
- mesh generation algorithm
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