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A fast numerical solver for multiphase flow


Suitable for

MSc in Computer Science
Computer Science, Part B
Mathematics and Computer Science, Part C
Computer Science and Philosophy, Part C
Computer Science, Part C


The Allen-Cahn equation is a differential equation used to model the phase separation of two, or more, alloys. This model may also be used to model cell motility, including chemotaxis and cell division. The numerical approximation, via a finite difference scheme, ultimately leads to a large system of linear equation. In this project, using numerical linear algebra techniques, we will develop a computational solver for the linear systems. We will then investigate the robustness of the proposed solver.