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Stability and Robustness of Time-discretization Schemes for the Allen-Cahn Equation Via Bifurcation and Perturbation Analysis.

Wenrui Hao, Sun Lee, Xiaofeng Xu,Zhiliang Xu

JOURNAL OF COMPUTATIONAL PHYSICS(2025)

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Key words
Allen-Cahn equation,Stability,Numerical approximation,Backward Euler method,Crank-Nicolson scheme,Runge-Kutta method
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