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- W4293217002 abstract "We study the effective temporal step size of convex splitting schemes for the Swift–Hohenberg (SH) equation, which models the pattern formation in various physical systems. The convex splitting scheme is one of the most well-known numerical approaches with an unconditional stability for solving a gradient flow. Its stability, solvability, and convergence have been actively studied; however, only a few studies have analyzed the time step re-scaling phenomenon for certain applications. In this paper, we present effective time step formulations for different convex splitting methods. Several numerical simulations are conducted to confirm the effective time step analysis." @default.
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- W4293217002 date "2023-02-01" @default.
- W4293217002 modified "2023-10-10" @default.
- W4293217002 title "Effective time step analysis of convex splitting schemes for the Swift–Hohenberg equation" @default.
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- W4293217002 doi "https://doi.org/10.1016/j.cam.2022.114713" @default.
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